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54722311074 = 2334187728183
BaseRepresentation
bin110010111101101101…
…000011001110100010
312020020200200102121000
4302331231003032202
51344032402423244
641050013012430
73645032653344
oct627555031642
9166220612530
1054722311074
1121231355282
12a732484116
135211212b32
142911989294
151654248169
hexcbdb433a2

54722311074 has 64 divisors (see below), whose sum is σ = 124717582080. Its totient is φ = 17774951040.

The previous prime is 54722311069. The next prime is 54722311129. The reversal of 54722311074 is 47011322745.

54722311074 is a `hidden beast` number, since 5 + 472 + 2 + 3 + 110 + 74 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1927587 + ... + 1955769.

It is an arithmetic number, because the mean of its divisors is an integer number (1948712220).

Almost surely, 254722311074 is an apocalyptic number.

54722311074 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 54722311074, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62358791040).

54722311074 is an abundant number, since it is smaller than the sum of its proper divisors (69995271006).

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

54722311074 is a wasteful number, since it uses less digits than its factorization.

54722311074 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29112 (or 29106 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The spelling of 54722311074 in words is "fifty-four billion, seven hundred twenty-two million, three hundred eleven thousand, seventy-four".

Divisors: 1 2 3 6 9 18 27 41 54 82 123 246 369 738 877 1107 1754 2214 2631 5262 7893 15786 23679 28183 35957 47358 56366 71914 84549 107871 169098 215742 253647 323613 507294 647226 760941 970839 1155503 1521882 1941678 2311006 3466509 6933018 10399527 20799054 24716491 31198581 49432982 62397162 74149473 148298946 222448419 444896838 667345257 1013376131 1334690514 2026752262 3040128393 6080256786 9120385179 18240770358 27361155537 54722311074