[go: up one dir, main page]

Search a number
-
+
5074050564 = 22321130741737
BaseRepresentation
bin1001011100110111…
…11101111000000100
3111002121201110211200
410232123331320010
540342424104224
62155254302500
7236511501222
oct45633757004
914077643750
105074050564
112174195320
12b97357a30
1362b2b7cab
14361c59b12
151ea6d25c9
hex12e6fde04

5074050564 has 72 divisors (see below), whose sum is σ = 14037991968. Its totient is φ = 1532545920.

The previous prime is 5074050551. The next prime is 5074050587. The reversal of 5074050564 is 4650504705.

It is a happy number.

5074050564 is a `hidden beast` number, since 5 + 0 + 7 + 40 + 50 + 564 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 100704 + ... + 142440.

Almost surely, 25074050564 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5074050564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7018995984).

5074050564 is an abundant number, since it is smaller than the sum of its proper divisors (8963941404).

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

5074050564 is a wasteful number, since it uses less digits than its factorization.

5074050564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42065 (or 42060 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 36.

The square root of 5074050564 is about 71232.3701978251. The cubic root of 5074050564 is about 1718.3762578581.

The spelling of 5074050564 in words is "five billion, seventy-four million, fifty thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 307 396 614 921 1228 1842 2763 3377 3684 5526 6754 10131 11052 13508 20262 30393 40524 41737 60786 83474 121572 125211 166948 250422 375633 459107 500844 751266 918214 1377321 1502532 1836428 2754642 4131963 5509284 8263926 12813259 16527852 25626518 38439777 51253036 76879554 115319331 140945849 153759108 230638662 281891698 422837547 461277324 563783396 845675094 1268512641 1691350188 2537025282 5074050564