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1377118012896 = 25333407467827
BaseRepresentation
bin10100000010100010101…
…000010100010111100000
311212122120201111102011000
4110002202220110113200
5140030314202403041
62532350030152000
7201331160654253
oct24024250242740
94778521442130
101377118012896
1149103a24274a
121a2a8a052600
139cb28127332
144a91d67b09a
1525c4e3b1bb6
hex140a2a145e0

1377118012896 has 96 divisors (see below), whose sum is σ = 4017781716480. Its totient is φ = 458903622528.

The previous prime is 1377118012889. The next prime is 1377118012901. The reversal of 1377118012896 is 6982108117731.

1377118012896 is a `hidden beast` number, since 1 + 377 + 1 + 180 + 1 + 2 + 8 + 96 = 666.

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

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

It is a congruent number.

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, 2709735 + ... + 3177561.

It is an arithmetic number, because the mean of its divisors is an integer number (41851892880).

Almost surely, 21377118012896 is an apocalyptic number.

1377118012896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1377118012896 is an abundant number, since it is smaller than the sum of its proper divisors (2640663703584).

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

1377118012896 is a wasteful number, since it uses less digits than its factorization.

1377118012896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 471253 (or 471239 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 54.

The spelling of 1377118012896 in words is "one trillion, three hundred seventy-seven billion, one hundred eighteen million, twelve thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 3407 6814 10221 13628 20442 27256 30663 40884 54512 61326 81768 91989 109024 122652 163536 183978 245304 327072 367956 467827 490608 735912 935654 981216 1403481 1471824 1871308 2806962 2943648 3742616 4210443 5613924 7485232 8420886 11227848 12631329 14970464 16841772 22455696 25262658 33683544 44911392 50525316 67367088 101050632 134734176 202101264 404202528 1593886589 3187773178 4781659767 6375546356 9563319534 12751092712 14344979301 19126639068 25502185424 28689958602 38253278136 43034937903 51004370848 57379917204 76506556272 86069875806 114759834408 153013112544 172139751612 229519668816 344279503224 459039337632 688559006448 1377118012896