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21275434979460 = 223251061111401377
BaseRepresentation
bin1001101011001100100101…
…01111101001000010000100
32210022220121122101121201100
410311212102233221002010
510242034042323320320
6113125444440100100
74324046053331514
oct465462257510204
983286548347640
1021275434979460
11686295243a762
1224773a4164630
13bb435a01285c
14537a4512b844
1526d6523ab790
hex135992be9084

21275434979460 has 72 divisors (see below), whose sum is σ = 64596311836056. Its totient is φ = 5668102010880.

The previous prime is 21275434979453. The next prime is 21275434979489. The reversal of 21275434979460 is 6497943457212.

21275434979460 is a `hidden beast` number, since 2 + 1 + 2 + 7 + 54 + 3 + 497 + 94 + 6 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3331179823104 + 17944255156356 = 1825152^2 + 4236066^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55509709 + ... + 55891668.

It is an arithmetic number, because the mean of its divisors is an integer number (897170997723).

Almost surely, 221275434979460 is an apocalyptic number.

21275434979460 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21275434979460 is an abundant number, since it is smaller than the sum of its proper divisors (43320876856596).

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

21275434979460 is a wasteful number, since it uses less digits than its factorization.

21275434979460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111402453 (or 111402448 counting only the distinct ones).

The product of its (nonzero) digits is 91445760, while the sum is 63.

The spelling of 21275434979460 in words is "twenty-one trillion, two hundred seventy-five billion, four hundred thirty-four million, nine hundred seventy-nine thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1061 2122 3183 4244 5305 6366 9549 10610 12732 15915 19098 21220 31830 38196 47745 63660 95490 190980 111401377 222802754 334204131 445605508 557006885 668408262 1002612393 1114013770 1336816524 1671020655 2005224786 2228027540 3342041310 4010449572 5013061965 6684082620 10026123930 20052247860 118196860997 236393721994 354590582991 472787443988 590984304985 709181165982 1063771748973 1181968609970 1418362331964 1772952914955 2127543497946 2363937219940 3545905829910 4255086995892 5318858744865 7091811659820 10637717489730 21275434979460