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11762097152 = 21013267967
BaseRepresentation
bin10101111010001001…
…10101110000000000
31010100201110102222212
422331010311300000
5143042044102102
65223050321252
7564322114301
oct127504656000
933321412885
1011762097152
114a96440753
122343129228
131155a99400
147d81b07a8
1548c92ac52
hex2bd135c00

11762097152 has 66 divisors (see below), whose sum is σ = 25460880768. Its totient is φ = 5428580352.

The previous prime is 11762097143. The next prime is 11762097181. The reversal of 11762097152 is 25179026711.

It is a super-2 number, since 2×117620971522 (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (41) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 139073 + ... + 207039.

Almost surely, 211762097152 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 11762097152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12730440384).

11762097152 is an abundant number, since it is smaller than the sum of its proper divisors (13698783616).

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

11762097152 is an equidigital number, since it uses as much as digits as its factorization.

11762097152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68013 (or 67982 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 41.

The spelling of 11762097152 in words is "eleven billion, seven hundred sixty-two million, ninety-seven thousand, one hundred fifty-two".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 169 208 256 338 416 512 676 832 1024 1352 1664 2704 3328 5408 6656 10816 13312 21632 43264 67967 86528 135934 173056 271868 543736 883571 1087472 1767142 2174944 3534284 4349888 7068568 8699776 11486423 14137136 17399552 22972846 28274272 34799104 45945692 56548544 69598208 91891384 113097088 183782768 226194176 367565536 452388352 735131072 904776704 1470262144 2940524288 5881048576 11762097152