Search a number
-
+
63145714605984 = 2533174299136343
BaseRepresentation
bin11100101101110010000011…
…11000110101111110100000
322021120200010102101201212000
432112321001320311332200
531234034410414342414
6342144424003404000
716205061450052623
oct1626710170657640
9267520112351760
1063145714605984
1119135a46764a8a
1270ba090083600
1329307ccb8352a
1411843a9bb9dba
15747871a79b09
hex396e41e35fa0

63145714605984 has 96 divisors (see below), whose sum is σ = 195008824563840. Its totient is φ = 19810420263936.

The previous prime is 63145714605973. The next prime is 63145714606033. The reversal of 63145714605984 is 48950641754136.

63145714605984 is a `hidden beast` number, since 6 + 3 + 1 + 4 + 5 + 7 + 14 + 605 + 9 + 8 + 4 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2149553484 + ... + 2149582859.

It is an arithmetic number, because the mean of its divisors is an integer number (2031341922540).

Almost surely, 263145714605984 is an apocalyptic number.

It is an amenable number.

63145714605984 is an abundant number, since it is smaller than the sum of its proper divisors (131863109957856).

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

63145714605984 is a wasteful number, since it uses less digits than its factorization.

63145714605984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4299136379 (or 4299136365 counting only the distinct ones).

The product of its (nonzero) digits is 87091200, while the sum is 63.

The spelling of 63145714605984 in words is "sixty-three trillion, one hundred forty-five billion, seven hundred fourteen million, six hundred five thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 68 72 96 102 108 136 144 153 204 216 272 288 306 408 432 459 544 612 816 864 918 1224 1632 1836 2448 3672 4896 7344 14688 4299136343 8598272686 12897409029 17196545372 25794818058 34393090744 38692227087 51589636116 68786181488 73085317831 77384454174 103179272232 116076681261 137572362976 146170635662 154768908348 206358544464 219255953493 232153362522 292341271324 309537816696 412717088928 438511906986 464306725044 584682542648 619075633392 657767860479 877023813972 928613450088 1169365085296 1238151266784 1315535720958 1754047627944 1857226900176 1973303581437 2338730170592 2631071441916 3508095255888 3714453800352 3946607162874 5262142883832 7016190511776 7893214325748 10524285767664 15786428651496 21048571535328 31572857302992 63145714605984