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21048821934 = 23729107373433
BaseRepresentation
bin10011100110100110…
…111000100010101110
32000022221001221110120
4103212212320202232
5321101444300214
613400353145410
71343416014540
oct234646704256
960287057416
1021048821934
118a21569508
1240b525b266
131ca5a79c2a
141039701690
15832d92ea9
hex4e69b88ae

21048821934 has 128 divisors (see below), whose sum is σ = 50486768640. Its totient is φ = 5723633664.

The previous prime is 21048821929. The next prime is 21048821947. The reversal of 21048821934 is 43912884012.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 48611382 + ... + 48611814.

It is an arithmetic number, because the mean of its divisors is an integer number (394427880).

Almost surely, 221048821934 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21048821934, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25243384320).

21048821934 is an abundant number, since it is smaller than the sum of its proper divisors (29437946706).

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

21048821934 is a wasteful number, since it uses less digits than its factorization.

21048821934 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 954.

The product of its (nonzero) digits is 110592, while the sum is 42.

The spelling of 21048821934 in words is "twenty-one billion, forty-eight million, eight hundred twenty-one thousand, nine hundred thirty-four".

Divisors: 1 2 3 6 7 14 21 29 42 58 87 107 174 203 214 321 373 406 433 609 642 746 749 866 1119 1218 1299 1498 2238 2247 2598 2611 3031 3103 4494 5222 6062 6206 7833 9093 9309 10817 12557 15666 18186 18618 21634 21721 25114 32451 37671 39911 43442 46331 64902 65163 75342 75719 79822 87899 92662 119733 130326 138993 151438 161509 175798 227157 239466 263697 277986 279377 323018 324317 454314 484527 527394 558754 648634 838131 969054 972951 1130563 1157419 1343599 1676262 1945902 2261126 2314838 2687198 3391689 3472257 4030797 4683761 6783378 6944514 8061594 8101933 9367522 9405193 14051283 16203866 17281463 18810386 24305799 28102566 28215579 32786327 34562926 48611598 51844389 56431158 65572654 98358981 103688778 120970241 196717962 241940482 362910723 501162427 725821446 1002324854 1503487281 3006974562 3508136989 7016273978 10524410967 21048821934