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20062642432 = 28770115971
BaseRepresentation
bin10010101011110100…
…111010000100000000
31220210012101211111211
4102223310322010000
5312042014024212
613114444015504
71310112434620
oct225364720400
956705354454
1020062642432
118565925228
123a7ab31594
131b7966b571
14d84750880
157c64e19a7
hex4abd3a100

20062642432 has 72 divisors (see below), whose sum is σ = 45836062272. Its totient is φ = 8585472000.

The previous prime is 20062642399. The next prime is 20062642441. The reversal of 20062642432 is 23424626002.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 20062642394 and 20062642403.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1248207 + ... + 1264177.

It is an arithmetic number, because the mean of its divisors is an integer number (636611976).

Almost surely, 220062642432 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 20062642432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22918031136).

20062642432 is an abundant number, since it is smaller than the sum of its proper divisors (25773419840).

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

20062642432 is an equidigital number, since it uses as much as digits as its factorization.

20062642432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16695 (or 16681 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 31.

The spelling of 20062642432 in words is "twenty billion, sixty-two million, six hundred forty-two thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448 701 896 1402 1792 2804 4907 5608 9814 11216 15971 19628 22432 31942 39256 44864 63884 78512 89728 111797 127768 157024 179456 223594 255536 314048 447188 511072 628096 894376 1022144 1256192 1788752 2044288 3577504 4088576 7155008 11195671 14310016 22391342 28620032 44782684 78369697 89565368 156739394 179130736 313478788 358261472 626957576 716522944 1253915152 1433045888 2507830304 2866091776 5015660608 10031321216 20062642432