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76820731666128 = 24322236972384821
BaseRepresentation
bin10001011101111000111000…
…011011000001111011010000
3101001222222201212120211011200
4101131320320123001323100
540032112324301304003
6431214542410311200
722116054226142442
oct2135707033017320
9331888655524150
1076820731666128
112252854234993a
128748457728500
1333b3219166618
1414d8201120492
158d343bd666a3
hex45de386c1ed0

76820731666128 has 60 divisors (see below), whose sum is σ = 214992404437668. Its totient is φ = 25606785346560.

The previous prime is 76820731666099. The next prime is 76820731666187. The reversal of 76820731666128 is 82166613702867.

It can be written as a sum of positive squares in 2 ways, for example, as 24689847956544 + 52130883709584 = 4968888^2 + 7220172^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31019958 + ... + 33404778.

Almost surely, 276820731666128 is an apocalyptic number.

It is an amenable number.

76820731666128 is an abundant number, since it is smaller than the sum of its proper divisors (138171672771540).

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

76820731666128 is a wasteful number, since it uses less digits than its factorization.

76820731666128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2608532 (or 2608523 counting only the distinct ones).

The product of its (nonzero) digits is 48771072, while the sum is 63.

The spelling of 76820731666128 in words is "seventy-six trillion, eight hundred twenty billion, seven hundred thirty-one million, six hundred sixty-six thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 223697 447394 671091 894788 1342182 1789576 2013273 2384821 2684364 3579152 4026546 4769642 5368728 7154463 8053092 9539284 10737456 14308926 16106184 19078568 21463389 28617852 32212368 38157136 42926778 57235704 85853556 114471408 171707112 343414224 533477303237 1066954606474 1600431909711 2133909212948 3200863819422 4267818425896 4801295729133 6401727638844 8535636851792 9602591458266 12803455277688 19205182916532 25606910555376 38410365833064 76820731666128