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5745014000 = 2453111715361
BaseRepresentation
bin1010101100110110…
…11111010011110000
3112211101020221122022
411112123133103300
543231210422000
62350023331012
7262236545645
oct52633372360
915741227568
105745014000
112488a02060
121143bb0a68
137072cba8b
143c6dd5dcc
1523956b585
hex1566df4f0

5745014000 has 160 divisors (see below), whose sum is σ = 16046776512. Its totient is φ = 1966080000.

The previous prime is 5745013987. The next prime is 5745014081. The reversal of 5745014000 is 4105475.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 366320 + ... + 381680.

Almost surely, 25745014000 is an apocalyptic number.

5745014000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5745014000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8023388256).

5745014000 is an abundant number, since it is smaller than the sum of its proper divisors (10301762512).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5745014000 is a wasteful number, since it uses less digits than its factorization.

5745014000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15412 (or 15396 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 26.

The square root of 5745014000 is about 75795.8705999212. The cubic root of 5745014000 is about 1791.0059574512.

Adding to 5745014000 its reverse (4105475), we get a palindrome (5749119475).

The spelling of 5745014000 in words is "five billion, seven hundred forty-five million, fourteen thousand".

Divisors: 1 2 4 5 8 10 11 16 17 20 22 25 34 40 44 50 55 68 80 85 88 100 110 125 136 170 176 187 200 220 250 272 275 340 374 400 425 440 500 550 680 748 850 880 935 1000 1100 1360 1375 1496 1700 1870 2000 2125 2200 2750 2992 3400 3740 4250 4400 4675 5500 6800 7480 8500 9350 11000 14960 15361 17000 18700 22000 23375 30722 34000 37400 46750 61444 74800 76805 93500 122888 153610 168971 187000 245776 261137 307220 337942 374000 384025 522274 614440 675884 768050 844855 1044548 1228880 1305685 1351768 1536100 1689710 1920125 2089096 2611370 2703536 2872507 3072200 3379420 3840250 4178192 4224275 5222740 5745014 6144400 6528425 6758840 7680500 8448550 10445480 11490028 13056850 13517680 14362535 15361000 16897100 20890960 21121375 22980056 26113700 28725070 30722000 32642125 33794200 42242750 45960112 52227400 57450140 65284250 67588400 71812675 84485500 104454800 114900280 130568500 143625350 168971000 229800560 261137000 287250700 337942000 359063375 522274000 574501400 718126750 1149002800 1436253500 2872507000 5745014000