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16856561648448 = 2632197148552609
BaseRepresentation
bin1111010101001011100101…
…0111101000001101000000
32012200110201202121222211200
43311102321113220031000
54202134214240222243
655503444132541200
73356563211626614
oct365227127501500
965613652558750
1016856561648448
115409911667875
121a82ab8481800
1395374a75b902
14423c0d225344
151e3727b3ead3
hexf54b95e8340

16856561648448 has 84 divisors (see below), whose sum is σ = 48561551103780. Its totient is φ = 5590331744256.

The previous prime is 16856561648359. The next prime is 16856561648533. The reversal of 16856561648448 is 84484616565861.

16856561648448 is a `hidden beast` number, since 1 + 6 + 8 + 5 + 65 + 61 + 64 + 8 + 448 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 8888316643584 + 7968245004864 = 2981328^2 + 2822808^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

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, 74162833 + ... + 74389776.

Almost surely, 216856561648448 is an apocalyptic number.

16856561648448 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

16856561648448 is an abundant number, since it is smaller than the sum of its proper divisors (31704989455332).

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

16856561648448 is a wasteful number, since it uses less digits than its factorization.

16856561648448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148552824 (or 148552811 counting only the distinct ones).

The product of its digits is 1061683200, while the sum is 72.

The spelling of 16856561648448 in words is "sixteen trillion, eight hundred fifty-six billion, five hundred sixty-one million, six hundred forty-eight thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 197 288 394 576 591 788 1182 1576 1773 2364 3152 3546 4728 6304 7092 9456 12608 14184 18912 28368 37824 56736 113472 148552609 297105218 445657827 594210436 891315654 1188420872 1336973481 1782631308 2376841744 2673946962 3565262616 4753683488 5347893924 7130525232 9507366976 10695787848 14261050464 21391575696 28522100928 29264863973 42783151392 58529727946 85566302784 87794591919 117059455892 175589183838 234118911784 263383775757 351178367676 468237823568 526767551514 702356735352 936475647136 1053535103028 1404713470704 1872951294272 2107070206056 2809426941408 4214140412112 5618853882816 8428280824224 16856561648448