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11297940576 = 2531331292027
BaseRepresentation
bin10101000010110100…
…01110010001100000
31002011101001211212120
422201122032101200
5141114233044301
65105030024240
7546654624156
oct124132162140
932141054776
1011297940576
114878435a7a
1222337a8080
1310b0883c50
147926a93d6
15461ce2e36
hex2a168e460

11297940576 has 96 divisors (see below), whose sum is σ = 32968793088. Its totient is φ = 3364139520.

The previous prime is 11297940539. The next prime is 11297940637. The reversal of 11297940576 is 67504979211.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×112979405762 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 107326 + ... + 184701.

It is an arithmetic number, because the mean of its divisors is an integer number (343424928).

Almost surely, 211297940576 is an apocalyptic number.

11297940576 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

11297940576 is an abundant number, since it is smaller than the sum of its proper divisors (21670852512).

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

11297940576 is a wasteful number, since it uses less digits than its factorization.

11297940576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292084 (or 292076 counting only the distinct ones).

The product of its (nonzero) digits is 952560, while the sum is 51.

The spelling of 11297940576 in words is "eleven billion, two hundred ninety-seven million, nine hundred forty thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 31 32 39 48 52 62 78 93 96 104 124 156 186 208 248 312 372 403 416 496 624 744 806 992 1209 1248 1488 1612 2418 2976 3224 4836 6448 9672 12896 19344 38688 292027 584054 876081 1168108 1752162 2336216 3504324 3796351 4672432 7008648 7592702 9052837 9344864 11389053 14017296 15185404 18105674 22778106 27158511 28034592 30370808 36211348 45556212 54317022 60741616 72422696 91112424 108634044 117686881 121483232 144845392 182224848 217268088 235373762 289690784 353060643 364449696 434536176 470747524 706121286 869072352 941495048 1412242572 1882990096 2824485144 3765980192 5648970288 11297940576