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20321514511232 = 2711192333027217
BaseRepresentation
bin1001001111011011110001…
…01001110101101110000000
32122221201101021201221111012
410213231320221311232000
510130421430203324412
6111115324101540052
74165116034204634
oct447557051655600
978851337657435
1020321514511232
116525340185030
122342542114628
13b454064c055c
145037d0884dc4
15253921224c22
hex127b78a75b80

20321514511232 has 128 divisors (see below), whose sum is σ = 48510377798400. Its totient is φ = 8370417623040.

The previous prime is 20321514511187. The next prime is 20321514511303. The reversal of 20321514511232 is 23211541512302.

20321514511232 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

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

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15898313 + ... + 17128904.

It is an arithmetic number, because the mean of its divisors is an integer number (378987326550).

Almost surely, 220321514511232 is an apocalyptic number.

20321514511232 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

20321514511232 is an abundant number, since it is smaller than the sum of its proper divisors (28188863287168).

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

20321514511232 is a wasteful number, since it uses less digits than its factorization.

20321514511232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33027284 (or 33027272 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 32.

The spelling of 20321514511232 in words is "twenty trillion, three hundred twenty-one billion, five hundred fourteen million, five hundred eleven thousand, two hundred thirty-two".

Divisors: 1 2 4 8 11 16 19 22 23 32 38 44 46 64 76 88 92 128 152 176 184 209 253 304 352 368 418 437 506 608 704 736 836 874 1012 1216 1408 1472 1672 1748 2024 2432 2944 3344 3496 4048 4807 6688 6992 8096 9614 13376 13984 16192 19228 26752 27968 32384 38456 55936 76912 153824 307648 615296 33027217 66054434 132108868 264217736 363299387 528435472 627517123 726598774 759625991 1056870944 1255034246 1453197548 1519251982 2113741888 2510068492 2906395096 3038503964 4227483776 5020136984 5812790192 6077007928 6902688353 8355885901 10040273968 11625580384 12154015856 13805376706 14432893829 16711771802 20080547936 23251160768 24308031712 27610753412 28865787658 33423543604 40161095872 46502321536 48616063424 55221506824 57731575316 66847087208 80322191744 97232126848 110443013648 115463150632 133694174416 158761832119 220886027296 230926301264 267388348832 317523664238 441772054592 461852602528 534776697664 635047328476 883544109184 923705205056 1069553395328 1270094656952 1847410410112 2540189313904 5080378627808 10160757255616 20321514511232