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54638881846011 = 3371731747223493
BaseRepresentation
bin11000110110001100110110…
…01001001011001011111011
321011110102111121202110011000
430123012123021023023323
524130200412223033021
6312112431130340043
714336346266500011
oct1433063311131373
9234412447673130
1054638881846011
1116456246407691
12616546ab8a623
132464569692688
14d6c770a928b1
1564b4391eeb26
hex31b19b24b2fb

54638881846011 has 64 divisors (see below), whose sum is σ = 83259060157440. Its totient is φ = 35400489143040.

The previous prime is 54638881845973. The next prime is 54638881846069. The reversal of 54638881846011 is 11064818883645.

It is a happy number.

54638881846011 is a `hidden beast` number, since 5 + 4 + 6 + 3 + 8 + 8 + 8 + 18 + 4 + 601 + 1 = 666.

It is not a de Polignac number, because 54638881846011 - 223 = 54638873457403 is a prime.

It is a super-2 number, since 2×546388818460112 (a number of 28 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 54638881846011.

It is not an unprimeable number, because it can be changed into a prime (54638881846091) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 244365181 + ... + 244588673.

It is an arithmetic number, because the mean of its divisors is an integer number (1300922814960).

Almost surely, 254638881846011 is an apocalyptic number.

54638881846011 is a deficient number, since it is larger than the sum of its proper divisors (28620178311429).

54638881846011 is a wasteful number, since it uses less digits than its factorization.

54638881846011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225393 (or 225387 counting only the distinct ones).

The product of its (nonzero) digits is 35389440, while the sum is 63.

The spelling of 54638881846011 in words is "fifty-four trillion, six hundred thirty-eight billion, eight hundred eighty-one million, eight hundred forty-six thousand, eleven".

Divisors: 1 3 9 27 71 73 213 219 639 657 1747 1917 1971 5183 5241 15549 15723 46647 47169 124037 127531 139941 223493 372111 382593 670479 1116333 1147779 2011437 3348999 3443337 6034311 9054701 15868003 16314989 27164103 47604009 48944967 81492309 142812027 146834901 244476927 390442271 428436081 440504703 1158364219 1171326813 3475092657 3513980439 10425277971 10541941317 27721401241 28502285783 31275833913 83164203723 85506857349 249492611169 256520572047 748477833507 769561716141 2023662290593 6070986871779 18212960615337 54638881846011