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21935706012 = 22331121187509
BaseRepresentation
bin10100011011011110…
…000100111110011100
32002121201220022201000
4110123132010332130
5324411020043022
614024354150300
71404405265443
oct243336047634
962551808630
1021935706012
119337152660
124302282390
1320b77306cc
1410c1405d5a
15885b7d6ac
hex51b784f9c

21935706012 has 96 divisors (see below), whose sum is σ = 62335123200. Its totient is φ = 6615604800.

The previous prime is 21935705983. The next prime is 21935706029. The reversal of 21935706012 is 21060753912.

21935706012 is a `hidden beast` number, since 2 + 19 + 3 + 570 + 60 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 206914 + ... + 294422.

It is an arithmetic number, because the mean of its divisors is an integer number (649324200).

Almost surely, 221935706012 is an apocalyptic number.

21935706012 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 21935706012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31167561600).

21935706012 is an abundant number, since it is smaller than the sum of its proper divisors (40399417188).

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

21935706012 is a wasteful number, since it uses less digits than its factorization.

21935706012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87744 (or 87736 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The spelling of 21935706012 in words is "twenty-one billion, nine hundred thirty-five million, seven hundred six thousand, twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 198 211 297 396 422 594 633 844 1188 1266 1899 2321 2532 3798 4642 5697 6963 7596 9284 11394 13926 20889 22788 27852 41778 62667 83556 87509 125334 175018 250668 262527 350036 525054 787581 962599 1050108 1575162 1925198 2362743 2887797 3150324 3850396 4725486 5775594 8663391 9450972 11551188 17326782 18464399 25990173 34653564 36928798 51980346 55393197 73857596 103960692 110786394 166179591 203108389 221572788 332359182 406216778 498538773 609325167 664718364 812433556 997077546 1218650334 1827975501 1994155092 2437300668 3655951002 5483926503 7311902004 10967853006 21935706012