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21360997888 = 29315367379
BaseRepresentation
bin10011111001001101…
…101111011000000000
32001010200111010100221
4103321031233120000
5322221403413023
613451344152424
71354226325526
oct237115573000
961120433327
1021360997888
1190717a996a
124181908714
13202564bb29
141068d64316
158504a985d
hex4f936f600

21360997888 has 160 divisors (see below), whose sum is σ = 45678504960. Its totient is φ = 9963233280.

The previous prime is 21360997883. The next prime is 21360997901. The reversal of 21360997888 is 88879906312.

It is a super-2 number, since 2×213609978882 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21360997883) by changing a digit.

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, 56361283 + ... + 56361661.

It is an arithmetic number, because the mean of its divisors is an integer number (285490656).

Almost surely, 221360997888 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 21360997888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22839252480).

21360997888 is an abundant number, since it is smaller than the sum of its proper divisors (24317507072).

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

21360997888 is an equidigital number, since it uses as much as digits as its factorization.

21360997888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 548 (or 532 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 61.

The spelling of 21360997888 in words is "twenty-one billion, three hundred sixty million, nine hundred ninety-seven thousand, eight hundred eighty-eight".

Divisors: 1 2 4 8 16 31 32 53 62 64 67 106 124 128 134 212 248 256 268 379 424 496 512 536 758 848 992 1072 1516 1643 1696 1984 2077 2144 3032 3286 3392 3551 3968 4154 4288 6064 6572 6784 7102 7936 8308 8576 11749 12128 13144 13568 14204 15872 16616 17152 20087 23498 24256 25393 26288 27136 28408 33232 34304 40174 46996 48512 50786 52576 56816 66464 80348 93992 97024 101572 105152 110081 113632 132928 160696 187984 194048 203144 210304 220162 227264 265856 321392 375968 406288 420608 440324 454528 531712 622697 642784 751936 787183 812576 841216 880648 909056 1063424 1245394 1285568 1345829 1503872 1574366 1625152 1761296 1818112 2490788 2571136 2691658 3007744 3148732 3250304 3522592 4981576 5142272 5383316 6015488 6297464 6500608 7045184 9963152 10284544 10766632 12594928 13001216 14090368 19926304 21533264 25189856 28180736 39852608 41720699 43066528 50379712 56361472 79705216 83441398 86133056 100759424 159410432 166882796 172266112 201518848 318820864 333765592 344532224 403037696 667531184 689064448 1335062368 2670124736 5340249472 10680498944 21360997888