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5002335144 = 233416974549
BaseRepresentation
bin1001010100010100…
…11001001110101000
3110220121202221210000
410222022121032220
540221044211034
62144213223000
7234651101322
oct45212311650
913817687700
105002335144
112137762484
12b77331a60
13619498731
1435650c612
151e4268599
hex12a2993a8

5002335144 has 80 divisors (see below), whose sum is σ = 14022508500. Its totient is φ = 1666096128.

The previous prime is 5002335137. The next prime is 5002335167. The reversal of 5002335144 is 4415332005.

It can be written as a sum of positive squares in 2 ways, for example, as 4178071044 + 824264100 = 64638^2 + 28710^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1097382 + ... + 1101930.

Almost surely, 25002335144 is an apocalyptic number.

5002335144 is a gapful number since it is divisible by the number (54) 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 5002335144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7011254250).

5002335144 is an abundant number, since it is smaller than the sum of its proper divisors (9020173356).

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

5002335144 is a wasteful number, since it uses less digits than its factorization.

5002335144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6264 (or 6251 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 5002335144 is about 70727.1881527889. The cubic root of 5002335144 is about 1710.2421079175.

Adding to 5002335144 its reverse (4415332005), we get a palindrome (9417667149).

The spelling of 5002335144 in words is "five billion, two million, three hundred thirty-five thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 1697 3394 4549 5091 6788 9098 10182 13576 13647 15273 18196 20364 27294 30546 36392 40728 40941 45819 54588 61092 81882 91638 109176 122184 122823 137457 163764 183276 245646 274914 327528 366552 368469 491292 549828 736938 982584 1099656 1473876 2947752 7719653 15439306 23158959 30878612 46317918 61757224 69476877 92635836 138953754 185271672 208430631 277907508 416861262 555815016 625291893 833722524 1250583786 1667445048 2501167572 5002335144