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21274408160 = 255677432671
BaseRepresentation
bin10011110100000011…
…011011010011100000
32000220122112220120222
4103310003123103200
5322032222030120
613435012222212
71352125325405
oct236403332340
960818486528
1021274408160
119027937805
12415890a968
1320107221c5
14105b6642ac
15847aa3525
hex4f40db4e0

21274408160 has 96 divisors (see below), whose sum is σ = 51098729472. Its totient is φ = 8368335360.

The previous prime is 21274408147. The next prime is 21274408229. The reversal of 21274408160 is 6180447212.

It is a self number, because there is not a number n which added to its sum of digits gives 21274408160.

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, 7963625 + ... + 7966295.

It is an arithmetic number, because the mean of its divisors is an integer number (532278432).

Almost surely, 221274408160 is an apocalyptic number.

21274408160 is a gapful number since it is divisible by the number (20) 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 21274408160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25549364736).

21274408160 is an abundant number, since it is smaller than the sum of its proper divisors (29824321312).

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

21274408160 is a wasteful number, since it uses less digits than its factorization.

21274408160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3496 (or 3488 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 35.

The spelling of 21274408160 in words is "twenty-one billion, two hundred seventy-four million, four hundred eight thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 67 80 134 160 268 335 536 670 743 1072 1340 1486 2144 2671 2680 2972 3715 5342 5360 5944 7430 10684 10720 11888 13355 14860 21368 23776 26710 29720 42736 49781 53420 59440 85472 99562 106840 118880 178957 199124 213680 248905 357914 398248 427360 497810 715828 796496 894785 995620 1431656 1592992 1789570 1984553 1991240 2863312 3579140 3969106 3982480 5726624 7158280 7938212 7964960 9922765 14316560 15876424 19845530 28633120 31752848 39691060 63505696 79382120 132965051 158764240 265930102 317528480 531860204 664825255 1063720408 1329650510 2127440816 2659301020 4254881632 5318602040 10637204080 21274408160