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11748252096 = 26337971251
BaseRepresentation
bin10101111000100000…
…00001100111000000
31010022202102001011000
422330100001213000
5143030023031341
65221433452000
7564063331560
oct127420014700
933282361130
1011748252096
114a89644759
12233a571000
131152c5c679
147d6408da0
1548b5e38b6
hex2bc4019c0

11748252096 has 112 divisors (see below), whose sum is σ = 39471681280. Its totient is φ = 3356640000.

The previous prime is 11748252077. The next prime is 11748252161. The reversal of 11748252096 is 69025284711.

11748252096 is a `hidden beast` number, since 117 + 4 + 8 + 2 + 520 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×117482520962 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 473530 + ... + 497721.

Almost surely, 211748252096 is an apocalyptic number.

11748252096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

11748252096 is an abundant number, since it is smaller than the sum of its proper divisors (27723429184).

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

11748252096 is an equidigital number, since it uses as much as digits as its factorization.

11748252096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 971279 (or 971263 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 11748252096 in words is "eleven billion, seven hundred forty-eight million, two hundred fifty-two thousand, ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 144 168 189 192 216 224 252 288 336 378 432 448 504 576 672 756 864 1008 1344 1512 1728 2016 3024 4032 6048 12096 971251 1942502 2913753 3885004 5827506 6798757 7770008 8741259 11655012 13597514 15540016 17482518 20396271 23310024 26223777 27195028 31080032 34965036 40792542 46620048 52447554 54390056 61188813 62160064 69930072 81585084 93240096 104895108 108780112 122377626 139860144 163170168 183566439 186480192 209790216 217560224 244755252 279720288 326340336 367132878 419580432 435120448 489510504 559440576 652680672 734265756 839160864 979021008 1305361344 1468531512 1678321728 1958042016 2937063024 3916084032 5874126048 11748252096