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52992214912 = 2771323197803
BaseRepresentation
bin110001010110100101…
…010000011110000000
312001210010012102211101
4301112211100132000
51332012001334122
640202211024144
73554124252250
oct612645203600
9161703172741
1052992214912
11205237a643a
12a32ab9b054
134cc69598b0
1427c9cab960
1515a23ec027
hexc56950780

52992214912 has 128 divisors (see below), whose sum is σ = 135582773760. Its totient is φ = 20052375552.

The previous prime is 52992214909. The next prime is 52992214931. The reversal of 52992214912 is 21941229925.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (46) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (46).

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, 169003 + ... + 366805.

It is an arithmetic number, because the mean of its divisors is an integer number (1059240420).

Almost surely, 252992214912 is an apocalyptic number.

52992214912 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 52992214912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67791386880).

52992214912 is an abundant number, since it is smaller than the sum of its proper divisors (82590558848).

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

52992214912 is a wasteful number, since it uses less digits than its factorization.

52992214912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197860 (or 197848 counting only the distinct ones).

The product of its digits is 233280, while the sum is 46.

The spelling of 52992214912 in words is "fifty-two billion, nine hundred ninety-two million, two hundred fourteen thousand, nine hundred twelve".

Divisors: 1 2 4 7 8 13 14 16 23 26 28 32 46 52 56 64 91 92 104 112 128 161 182 184 208 224 299 322 364 368 416 448 598 644 728 736 832 896 1196 1288 1456 1472 1664 2093 2392 2576 2912 2944 4186 4784 5152 5824 8372 9568 10304 11648 16744 19136 20608 33488 38272 66976 133952 197803 267904 395606 791212 1384621 1582424 2571439 2769242 3164848 4549469 5142878 5538484 6329696 9098938 10285756 11076968 12659392 18000073 18197876 20571512 22153936 25318784 31846283 36000146 36395752 41143024 44307872 59143097 63692566 72000292 72791504 82286048 88615744 118286194 127385132 144000584 145583008 164572096 177231488 236572388 254770264 288001168 291166016 329144192 414001679 473144776 509540528 576002336 582332032 828003358 946289552 1019081056 1152004672 1656006716 1892579104 2038162112 2304009344 3312013432 3785158208 4076324224 6624026864 7570316416 13248053728 26496107456 52992214912