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10412396205696 = 273229311673737
BaseRepresentation
bin1001011110000101001100…
…1011010101011010000000
31100212102012210110010012200
42113201103023111122000
52331044041412040241
634051215550553200
72123161612301562
oct227412313253200
940772183403180
1010412396205696
113354966231211
121201baa508800
135a6b66a41904
1427dd697a7332
15130cb4c714b6
hex978532d5680

10412396205696 has 96 divisors (see below), whose sum is σ = 30995953244100. Its totient is φ = 3351116009472.

The previous prime is 10412396205677. The next prime is 10412396205697. The reversal of 10412396205696 is 69650269321401.

10412396205696 is a `hidden beast` number, since 1 + 0 + 4 + 1 + 2 + 3 + 9 + 620 + 5 + 6 + 9 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 9845387205696 + 567009000000 = 3137736^2 + 753000^2 .

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

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (10412396205697) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 155803461 + ... + 155870276.

Almost surely, 210412396205696 is an apocalyptic number.

10412396205696 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10412396205696 is an abundant number, since it is smaller than the sum of its proper divisors (20583557038404).

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

10412396205696 is a wasteful number, since it uses less digits than its factorization.

10412396205696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311673786 (or 311673771 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 54.

The spelling of 10412396205696 in words is "ten trillion, four hundred twelve billion, three hundred ninety-six million, two hundred five thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 32 36 48 58 64 72 87 96 116 128 144 174 192 232 261 288 348 384 464 522 576 696 928 1044 1152 1392 1856 2088 2784 3712 4176 5568 8352 11136 16704 33408 311673737 623347474 935021211 1246694948 1870042422 2493389896 2805063633 3740084844 4986779792 5610127266 7480169688 9038538373 9973559584 11220254532 14960339376 18077076746 19947119168 22440509064 27115615119 29920678752 36154153492 39894238336 44881018128 54231230238 59841357504 72308306984 81346845357 89762036256 108462460476 119682715008 144616613968 162693690714 179524072512 216924920952 289233227936 325387381428 359048145024 433849841904 578466455872 650774762856 867699683808 1156932911744 1301549525712 1735399367616 2603099051424 3470798735232 5206198102848 10412396205696