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20644406240 = 255238216833
BaseRepresentation
bin10011001110100000…
…001010001111100000
31222021202002111102112
4103032200022033200
5314234431444430
613252305134452
71330405362203
oct231640121740
958252074375
1020644406240
118834257a67
12400192a428
131c400507c3
14ddbb0b93a
1580c60b195
hex4ce80a3e0

20644406240 has 96 divisors (see below), whose sum is σ = 50962395456. Its totient is φ = 7887953920.

The previous prime is 20644406239. The next prime is 20644406257. The reversal of 20644406240 is 4260444602.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 20644406197 and 20644406206.

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, 3017864 + ... + 3024696.

It is an arithmetic number, because the mean of its divisors is an integer number (530858286).

Almost surely, 220644406240 is an apocalyptic number.

20644406240 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 20644406240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25481197728).

20644406240 is an abundant number, since it is smaller than the sum of its proper divisors (30317989216).

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

20644406240 is a wasteful number, since it uses less digits than its factorization.

20644406240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7692 (or 7684 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

The spelling of 20644406240 in words is "twenty billion, six hundred forty-four million, four hundred six thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 80 92 115 160 184 230 368 460 736 821 920 1642 1840 3284 3680 4105 6568 6833 8210 13136 13666 16420 18883 26272 27332 32840 34165 37766 54664 65680 68330 75532 94415 109328 131360 136660 151064 157159 188830 218656 273320 302128 314318 377660 546640 604256 628636 755320 785795 1093280 1257272 1510640 1571590 2514544 3021280 3143180 5029088 5609893 6286360 11219786 12572720 22439572 25145440 28049465 44879144 56098930 89758288 112197860 129027539 179516576 224395720 258055078 448791440 516110156 645137695 897582880 1032220312 1290275390 2064440624 2580550780 4128881248 5161101560 10322203120 20644406240