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20491610418756 = 2238279432
BaseRepresentation
bin1001010100011000100110…
…01010001110111001000100
32200112222102120012100000000
410222030103022032321010
510141213304231400011
6111325414343321300
74213320131441601
oct452142312167104
980488376170000
1020491610418756
116590496958a14
12236b4b2a50230
13b58473287449
1450bb291656a8
152580791b7356
hex12a31328ee44

20491610418756 has 81 divisors (see below), whose sum is σ = 53789669488191. Its totient is φ = 6830292360888.

The previous prime is 20491610418743. The next prime is 20491610418767. The reversal of 20491610418756 is 65781401619402.

The square root of 20491610418756 is 4526766.

It is a perfect power (a square), and thus also a powerful number.

20491610418756 is a `hidden beast` number, since 2 + 0 + 4 + 9 + 1 + 610 + 4 + 18 + 7 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (81).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 733322121 + ... + 733350063.

Almost surely, 220491610418756 is an apocalyptic number.

20491610418756 is the 4526766-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20491610418756

20491610418756 is an abundant number, since it is smaller than the sum of its proper divisors (33298059069435).

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

20491610418756 is an frugal number, since it uses more digits than its factorization.

20491610418756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55914 (or 27948 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 20491610418756 in words is "twenty trillion, four hundred ninety-one billion, six hundred ten million, four hundred eighteen thousand, seven hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 729 972 1458 2187 2916 4374 6561 8748 13122 26244 27943 55886 83829 111772 167658 251487 335316 502974 754461 1005948 1508922 2263383 3017844 4526766 6790149 9053532 13580298 20370447 27160596 40740894 61111341 81481788 122222682 183334023 244445364 366668046 733336092 780811249 1561622498 2342433747 3123244996 4684867494 7027301241 9369734988 14054602482 21081903723 28109204964 42163807446 63245711169 84327614892 126491422338 189737133507 252982844676 379474267014 569211400521 758948534028 1138422801042 1707634201563 2276845602084 3415268403126 5122902604689 6830536806252 10245805209378 20491610418756