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54673052512 = 25131379471013
BaseRepresentation
bin110010111010110001…
…001001001101100000
312020010020222211112211
4302322301021031200
51343432300140022
641041053131504
73643564164361
oct627261111540
9166106884484
1054673052512
1121206570621
12a719a89b94
135203c57060
142909205b68
15164ec67e77
hexcbac49360

54673052512 has 96 divisors (see below), whose sum is σ = 117002182752. Its totient is φ = 24998375424.

The previous prime is 54673052477. The next prime is 54673052531. The reversal of 54673052512 is 21525037645.

It is a super-3 number, since 3×546730525123 (a number of 33 digits) contains 333 as substring.

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, 53970918 + ... + 53971930.

It is an arithmetic number, because the mean of its divisors is an integer number (1218772737).

Almost surely, 254673052512 is an apocalyptic number.

54673052512 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 54673052512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58501091376).

54673052512 is an abundant number, since it is smaller than the sum of its proper divisors (62329130240).

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

54673052512 is a wasteful number, since it uses less digits than its factorization.

54673052512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2120 (or 2112 counting only the distinct ones).

The product of its (nonzero) digits is 252000, while the sum is 40.

The spelling of 54673052512 in words is "fifty-four billion, six hundred seventy-three million, fifty-two thousand, five hundred twelve".

Divisors: 1 2 4 8 13 16 26 32 52 104 137 208 274 416 548 947 1013 1096 1781 1894 2026 2192 3562 3788 4052 4384 7124 7576 8104 12311 13169 14248 15152 16208 24622 26338 28496 30304 32416 49244 52676 56992 98488 105352 129739 138781 196976 210704 259478 277562 393952 421408 518956 555124 959311 1037912 1110248 1686607 1804153 1918622 2075824 2220496 3373214 3608306 3837244 4151648 4440992 6746428 7216612 7674488 12471043 13492856 14433224 15348976 24942086 26985712 28866448 30697952 49884172 53971424 57732896 99768344 131425607 199536688 262851214 399073376 525702428 1051404856 1708532891 2102809712 3417065782 4205619424 6834131564 13668263128 27336526256 54673052512