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12397056948 = 22321723880723
BaseRepresentation
bin10111000101110110…
…00001001110110100
31011222222020202002100
423202323001032310
5200342121310243
65410051542100
7616132150113
oct134273011664
934888222070
1012397056948
1152918a7411
12249b8ba930
1312274b5673
14858657c7a
154c85520d3
hex2e2ec13b4

12397056948 has 72 divisors (see below), whose sum is σ = 34623021888. Its totient is φ = 3720169728.

The previous prime is 12397056913. The next prime is 12397057019. The reversal of 12397056948 is 84965079321.

12397056948 is a `hidden beast` number, since 1 + 2 + 3 + 9 + 70 + 569 + 4 + 8 = 666.

12397056948 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 12397056894 and 12397056903.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 426286 + ... + 454437.

It is an arithmetic number, because the mean of its divisors is an integer number (480875304).

It is a 1-persistent number, because it is pandigital, but 2⋅12397056948 = 24794113896 is not.

Almost surely, 212397056948 is an apocalyptic number.

12397056948 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

12397056948 is an abundant number, since it is smaller than the sum of its proper divisors (22225964940).

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

12397056948 is a wasteful number, since it uses less digits than its factorization.

12397056948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 880773 (or 880768 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 12397056948 in words is "twelve billion, three hundred ninety-seven million, fifty-six thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 17 18 23 34 36 46 51 68 69 92 102 138 153 204 207 276 306 391 414 612 782 828 1173 1564 2346 3519 4692 7038 14076 880723 1761446 2642169 3522892 5284338 7926507 10568676 14972291 15853014 20256629 29944582 31706028 40513258 44916873 59889164 60769887 81026516 89833746 121539774 134750619 179667492 182309661 243079548 269501238 344362693 364619322 539002476 688725386 729238644 1033088079 1377450772 2066176158 3099264237 4132352316 6198528474 12397056948