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102400544156346 = 2326193260969177
BaseRepresentation
bin10111010010000111111100…
…000011110010101010111010
3111102120101200222122202102100
4113102013330003302222322
5101410212303301000341
61001442054403044230
730366123641614062
oct2722077403625272
9442511628582370
10102400544156346
112a69a910666047
12b599ab3070676
13451a439991047
141b402d9c323a2
15bc8a16d323b6
hex5d21fc0f2aba

102400544156346 has 24 divisors (see below), whose sum is σ = 225505023472404. Its totient is φ = 33573948903360.

The previous prime is 102400544156333. The next prime is 102400544156353. The reversal of 102400544156346 is 643651445004201.

102400544156346 is a `hidden beast` number, since 1 + 0 + 2 + 4 + 0 + 0 + 5 + 4 + 4 + 1 + 5 + 634 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 77850887589225 + 24549656567121 = 8823315^2 + 4954761^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 46630483491 + ... + 46630485686.

Almost surely, 2102400544156346 is an apocalyptic number.

102400544156346 is an abundant number, since it is smaller than the sum of its proper divisors (123104479316058).

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

102400544156346 is a wasteful number, since it uses less digits than its factorization.

102400544156346 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93260969246 (or 93260969243 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 45.

The spelling of 102400544156346 in words is "one hundred two trillion, four hundred billion, five hundred forty-four million, one hundred fifty-six thousand, three hundred forty-six".

Divisors: 1 2 3 6 9 18 61 122 183 366 549 1098 93260969177 186521938354 279782907531 559565815062 839348722593 1678697445186 5688919119797 11377838239594 17066757359391 34133514718782 51200272078173 102400544156346