Search a number
-
+
1153231816356 = 2232172697005077
BaseRepresentation
bin10000110010000001111…
…110010000011010100100
311002020200201010012221200
4100302001332100122210
5122343304321110411
62241442024042500
7146214105462264
oct20620176203244
94066621105850
101153231816356
114050a0328554
12167607003430
1384998276469
143db611057a4
151eee8e2ae56
hex10c81f906a4

1153231816356 has 72 divisors (see below), whose sum is σ = 3098065796280. Its totient is φ = 360453190656.

The previous prime is 1153231816337. The next prime is 1153231816361. The reversal of 1153231816356 is 6536181323511.

1153231816356 is a `hidden beast` number, since 1 + 1 + 5 + 3 + 2 + 3 + 1 + 8 + 1 + 635 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 143628872256 + 1009602944100 = 378984^2 + 1004790^2 .

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, 3337911 + ... + 3667166.

It is an arithmetic number, because the mean of its divisors is an integer number (43028691615).

Almost surely, 21153231816356 is an apocalyptic number.

It is an amenable number.

1153231816356 is an abundant number, since it is smaller than the sum of its proper divisors (1944833979924).

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

1153231816356 is a wasteful number, since it uses less digits than its factorization.

1153231816356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7005373 (or 7005368 counting only the distinct ones).

The product of its digits is 388800, while the sum is 45.

The spelling of 1153231816356 in words is "one trillion, one hundred fifty-three billion, two hundred thirty-one million, eight hundred sixteen thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 269 306 538 612 807 1076 1614 2421 3228 4573 4842 9146 9684 13719 18292 27438 41157 54876 82314 164628 7005077 14010154 21015231 28020308 42030462 63045693 84060924 119086309 126091386 238172618 252182772 357258927 476345236 714517854 1071776781 1429035708 1884365713 2143553562 3768731426 4287107124 5653097139 7537462852 11306194278 16959291417 22612388556 32034217121 33918582834 64068434242 67837165668 96102651363 128136868484 192205302726 288307954089 384410605452 576615908178 1153231816356