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21492311064 = 23371737203387
BaseRepresentation
bin10100000001000010…
…101010010000011000
32001110211120112011220
4110001002222100120
5323004012423224
613512354452040
71360412426010
oct240102522030
961424515156
1021492311064
119129938454
1241b9894020
132046907233
14107c586c40
1585bc97279
hex5010aa418

21492311064 has 128 divisors (see below), whose sum is σ = 66776348160. Its totient is φ = 5623216128.

The previous prime is 21492311063. The next prime is 21492311131. The reversal of 21492311064 is 46011329412.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21492311063) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3979 + ... + 207365.

It is an arithmetic number, because the mean of its divisors is an integer number (521690220).

Almost surely, 221492311064 is an apocalyptic number.

21492311064 is a gapful number since it is divisible by the number (24) 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 21492311064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33388174080).

21492311064 is an abundant number, since it is smaller than the sum of its proper divisors (45284037096).

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

21492311064 is a wasteful number, since it uses less digits than its factorization.

21492311064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203457 (or 203453 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The spelling of 21492311064 in words is "twenty-one billion, four hundred ninety-two million, three hundred eleven thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 17 21 24 28 34 37 42 51 56 68 74 84 102 111 119 136 148 168 204 222 238 259 296 357 408 444 476 518 629 714 777 888 952 1036 1258 1428 1554 1887 2072 2516 2856 3108 3774 4403 5032 6216 7548 8806 13209 15096 17612 26418 35224 52836 105672 203387 406774 610161 813548 1220322 1423709 1627096 2440644 2847418 3457579 4271127 4881288 5694836 6915158 7525319 8542254 10372737 11389672 13830316 15050638 17084508 20745474 22575957 24203053 27660632 30101276 34169016 41490948 45151914 48406106 52677233 60202552 72609159 82981896 90303828 96812212 105354466 127930423 145218318 158031699 180607656 193624424 210708932 255860846 290436636 316063398 383791269 421417864 511721692 580873272 632126796 767582538 895512961 1023443384 1264253592 1535165076 1791025922 2686538883 3070330152 3582051844 5373077766 7164103688 10746155532 21492311064