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11692971024 = 2437306111369
BaseRepresentation
bin10101110001111010…
…01001010000010000
31010011220101110202220
422320331021100100
5142421400033044
65212140541040
7562522420350
oct127075112020
933156343686
1011692971024
114a60417219
122323b51780
131144675587
147ccd38b60
15486824019
hex2b8f49410

11692971024 has 80 divisors (see below), whose sum is σ = 34536420480. Its totient is φ = 3339463680.

The previous prime is 11692971023. The next prime is 11692971029. The reversal of 11692971024 is 42017929611.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (11692971023) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1022812 + ... + 1034180.

It is an arithmetic number, because the mean of its divisors is an integer number (431705256).

Almost surely, 211692971024 is an apocalyptic number.

11692971024 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

11692971024 is an abundant number, since it is smaller than the sum of its proper divisors (22843449456).

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

11692971024 is a wasteful number, since it uses less digits than its factorization.

11692971024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14448 (or 14442 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 42.

The spelling of 11692971024 in words is "eleven billion, six hundred ninety-two million, nine hundred seventy-one thousand, twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 3061 6122 9183 11369 12244 18366 21427 22738 24488 34107 36732 42854 45476 48976 64281 68214 73464 79583 85708 90952 128562 136428 146928 159166 171416 181904 238749 257124 272856 318332 342832 477498 514248 545712 636664 954996 1028496 1273328 1909992 3819984 34800509 69601018 104401527 139202036 208803054 243603563 278404072 417606108 487207126 556808144 730810689 835212216 974414252 1461621378 1670424432 1948828504 2923242756 3897657008 5846485512 11692971024