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5152500144 = 24321117331877
BaseRepresentation
bin1001100110001110…
…01110100110110000
3111022002100010102200
410303013032212300
541023020001034
62211135543200
7241453346211
oct46307164660
914262303380
105152500144
1122044a7690
12bb968ab00
1364162476c
1436c43b408
1520252ba99
hex1331ce9b0

5152500144 has 120 divisors (see below), whose sum is σ = 15748201872. Its totient is φ = 1559631360.

The previous prime is 5152500137. The next prime is 5152500163. The reversal of 5152500144 is 4410052515.

5152500144 is a `hidden beast` number, since 5 + 15 + 2 + 500 + 144 = 666.

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, 2744134 + ... + 2746010.

Almost surely, 25152500144 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 5152500144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7874100936).

5152500144 is an abundant number, since it is smaller than the sum of its proper divisors (10595701728).

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

5152500144 is a wasteful number, since it uses less digits than its factorization.

5152500144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3635 (or 3626 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 27.

The square root of 5152500144 is about 71780.9176870845. The cubic root of 5152500144 is about 1727.1869084924.

Adding to 5152500144 its reverse (4410052515), we get a palindrome (9562552659).

The spelling of 5152500144 in words is "five billion, one hundred fifty-two million, five hundred thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 132 144 176 198 264 396 528 792 1584 1733 1877 3466 3754 5199 5631 6932 7508 10398 11262 13864 15016 15597 16893 19063 20647 20796 22524 27728 30032 31194 33786 38126 41294 41592 45048 57189 61941 62388 67572 76252 82588 83184 90096 114378 123882 124776 135144 152504 165176 171567 185823 228756 247764 249552 270288 305008 330352 343134 371646 457512 495528 686268 743292 915024 991056 1372536 1486584 2745072 2973168 3252841 6505682 9758523 13011364 19517046 26022728 29275569 35781251 39034092 52045456 58551138 71562502 78068184 107343753 117102276 143125004 156136368 214687506 234204552 286250008 322031259 429375012 468409104 572500016 644062518 858750024 1288125036 1717500048 2576250072 5152500144