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21999963936 = 2533113156431
BaseRepresentation
bin10100011111010011…
…001100111100100000
32002210012210222000010
4110133103030330200
5330023442321221
614035011324520
71406115415356
oct243723147440
962705728003
1021999963936
11936a451585
12431b8b0740
1320c7b3b752
1410c9b717d6
1588b622c76
hex51f4ccf20

21999963936 has 96 divisors (see below), whose sum is σ = 60068929536. Its totient is φ = 7042464000.

The previous prime is 21999963929. The next prime is 21999963971. The reversal of 21999963936 is 63936999912.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×219999639362 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 361641 + ... + 418071.

It is an arithmetic number, because the mean of its divisors is an integer number (625718016).

Almost surely, 221999963936 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21999963936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30034464768).

21999963936 is an abundant number, since it is smaller than the sum of its proper divisors (38068965600).

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

21999963936 is a wasteful number, since it uses less digits than its factorization.

21999963936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56606 (or 56598 counting only the distinct ones).

The product of its digits is 38263752, while the sum is 66.

The spelling of 21999963936 in words is "twenty-one billion, nine hundred ninety-nine million, nine hundred sixty-three thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 124 131 186 248 262 372 393 496 524 744 786 992 1048 1488 1572 2096 2976 3144 4061 4192 6288 8122 12183 12576 16244 24366 32488 48732 56431 64976 97464 112862 129952 169293 194928 225724 338586 389856 451448 677172 902896 1354344 1749361 1805792 2708688 3498722 5248083 5417376 6997444 7392461 10496166 13994888 14784922 20992332 22177383 27989776 29569844 41984664 44354766 55979552 59139688 83969328 88709532 118279376 167938656 177419064 229166291 236558752 354838128 458332582 687498873 709676256 916665164 1374997746 1833330328 2749995492 3666660656 5499990984 7333321312 10999981968 21999963936