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21274878592 = 271126956171
BaseRepresentation
bin10011110100000101…
…001110001010000000
32000220200102210220101
4103310011032022000
5322032332103332
613435030252144
71352132325052
oct236405161200
960820383811
1021274878592
1190281291a0
124158ab7054
132010858376
14105b7478d2
15847b47ae7
hex4f414e280

21274878592 has 64 divisors (see below), whose sum is σ = 46409306400. Its totient is φ = 9634278400.

The previous prime is 21274878571. The next prime is 21274878613. The reversal of 21274878592 is 29587847212.

It is an interprime number because it is at equal distance from previous prime (21274878571) and next prime (21274878613).

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 350667 + ... + 406837.

Almost surely, 221274878592 is an apocalyptic number.

21274878592 is a gapful number since it is divisible by the number (22) 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 21274878592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23204653200).

21274878592 is an abundant number, since it is smaller than the sum of its proper divisors (25134427808).

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

21274878592 is a wasteful number, since it uses less digits than its factorization.

21274878592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56465 (or 56453 counting only the distinct ones).

The product of its digits is 4515840, while the sum is 55.

The spelling of 21274878592 in words is "twenty-one billion, two hundred seventy-four million, eight hundred seventy-eight thousand, five hundred ninety-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 269 352 538 704 1076 1408 2152 2959 4304 5918 8608 11836 17216 23672 34432 47344 56171 94688 112342 189376 224684 378752 449368 617881 898736 1235762 1797472 2471524 3594944 4943048 7189888 9886096 15109999 19772192 30219998 39544384 60439996 79088768 120879992 166209989 241759984 332419978 483519968 664839956 967039936 1329679912 1934079872 2659359824 5318719648 10637439296 21274878592