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54534343032 = 233213359162293
BaseRepresentation
bin110010110010100000…
…000000100101111000
312012202120222122220200
4302302200000211320
51343141242434112
641015220122200
73640261160511
oct626240004570
9165676878820
1054534343032
1121145240094
12a69b536360
1351b12ac240
1428d4a19a08
1516429b8cdc
hexcb2800978

54534343032 has 96 divisors (see below), whose sum is σ = 159502543200. Its totient is φ = 16732954368.

The previous prime is 54534342977. The next prime is 54534343043. The reversal of 54534343032 is 23034343545.

54534343032 is a `hidden beast` number, since 5 + 4 + 5 + 343 + 4 + 303 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 254878 + ... + 417170.

It is an arithmetic number, because the mean of its divisors is an integer number (1661484825).

Almost surely, 254534343032 is an apocalyptic number.

54534343032 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54534343032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79751271600).

54534343032 is an abundant number, since it is smaller than the sum of its proper divisors (104968200168).

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

54534343032 is a wasteful number, since it uses less digits than its factorization.

54534343032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162677 (or 162670 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 36.

Adding to 54534343032 its reverse (23034343545), we get a palindrome (77568686577).

The spelling of 54534343032 in words is "fifty-four billion, five hundred thirty-four million, three hundred forty-three thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 359 468 718 936 1077 1436 2154 2872 3231 4308 4667 6462 8616 9334 12924 14001 18668 25848 28002 37336 42003 56004 84006 112008 162293 168012 324586 336024 486879 649172 973758 1298344 1460637 1947516 2109809 2921274 3895032 4219618 5842548 6329427 8439236 11685096 12658854 16878472 18988281 25317708 37976562 50635416 58263187 75953124 116526374 151906248 174789561 233052748 349579122 466105496 524368683 699158244 757421431 1048737366 1398316488 1514842862 2097474732 2272264293 3029685724 4194949464 4544528586 6059371448 6816792879 9089057172 13633585758 18178114344 27267171516 54534343032