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54893071292160 = 283514295070649
BaseRepresentation
bin11000111101100110010100…
…00000111101011100000000
321012100201121112001012222110
430132303022000331130000
524143332002222322120
6312425310120335320
714363615323233333
oct1436631200753400
9235321545035873
1054893071292160
1116544025759822
1261a678a614540
1324825186a358a
14d7aba5a5061a
15652d64c112e0
hex31ecca03d700

54893071292160 has 72 divisors (see below), whose sum is σ = 175314746451600. Its totient is φ = 14638152343552.

The previous prime is 54893071292069. The next prime is 54893071292231. The reversal of 54893071292160 is 6129217039845.

It is a hoax number, since the sum of its digits (57) 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 54893071292160.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7147531485 + ... + 7147539164.

It is an arithmetic number, because the mean of its divisors is an integer number (2434927034050).

It is a 2-persistent number, because it is pandigital, and so is 2⋅54893071292160 = 109786142584320, but 3⋅54893071292160 = 164679213876480 is not.

Almost surely, 254893071292160 is an apocalyptic number.

It is an amenable number.

54893071292160 is an abundant number, since it is smaller than the sum of its proper divisors (120421675159440).

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

54893071292160 is a wasteful number, since it uses less digits than its factorization.

54893071292160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14295070673 (or 14295070659 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 57.

The spelling of 54893071292160 in words is "fifty-four trillion, eight hundred ninety-three billion, seventy-one million, two hundred ninety-two thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 640 768 960 1280 1920 3840 14295070649 28590141298 42885211947 57180282596 71475353245 85770423894 114360565192 142950706490 171540847788 214426059735 228721130384 285901412980 343081695576 428852119470 457442260768 571802825960 686163391152 857704238940 914884521536 1143605651920 1372326782304 1715408477880 1829769043072 2287211303840 2744653564608 3430816955760 3659538086144 4574422607680 5489307129216 6861633911520 9148845215360 10978614258432 13723267823040 18297690430720 27446535646080 54893071292160