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21045458640 = 2435653134287
BaseRepresentation
bin10011100110011010…
…000011011011010000
32000022200202001220010
4103212122003123100
5321100114134030
613400153114520
71343345306163
oct234632033320
960280661803
1021045458640
118a1a681628
1240b40b8a40
131ca517010b
1410390a7ada
1583292b6b0
hex4e66836d0

21045458640 has 80 divisors (see below), whose sum is σ = 65341317888. Its totient is φ = 5603486208.

The previous prime is 21045458633. The next prime is 21045458657. The reversal of 21045458640 is 4685454012.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×210454586402 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 89577 + ... + 223863.

Almost surely, 221045458640 is an apocalyptic number.

21045458640 is a gapful number since it is divisible by the number (20) 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 21045458640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32670658944).

21045458640 is an abundant number, since it is smaller than the sum of its proper divisors (44295859248).

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

21045458640 is a wasteful number, since it uses less digits than its factorization.

21045458640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134956 (or 134950 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 39.

The spelling of 21045458640 in words is "twenty-one billion, forty-five million, four hundred fifty-eight thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 653 1306 1959 2612 3265 3918 5224 6530 7836 9795 10448 13060 15672 19590 26120 31344 39180 52240 78360 134287 156720 268574 402861 537148 671435 805722 1074296 1342870 1611444 2014305 2148592 2685740 3222888 4028610 5371480 6445776 8057220 10742960 16114440 32228880 87689411 175378822 263068233 350757644 438447055 526136466 701515288 876894110 1052272932 1315341165 1403030576 1753788220 2104545864 2630682330 3507576440 4209091728 5261364660 7015152880 10522729320 21045458640