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20290188288 = 21039417019
BaseRepresentation
bin10010111001011000…
…111011010000000000
31221101001120100202010
4102321120323100000
5313023242011123
613153213052520
71315544516616
oct227130732000
957331510663
1020290188288
118672311857
123b23187140
131bb484b796
14da6a636b6
157db48c993
hex4b963b400

20290188288 has 88 divisors (see below), whose sum is σ = 54145933920. Its totient is φ = 6755246080.

The previous prime is 20290188283. The next prime is 20290188307. The reversal of 20290188288 is 88288109202.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20290188283) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2887243 + ... + 2894261.

Almost surely, 220290188288 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 20290188288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27072966960).

20290188288 is an abundant number, since it is smaller than the sum of its proper divisors (33855745632).

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

20290188288 is an equidigital number, since it uses as much as digits as its factorization.

20290188288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7983 (or 7965 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 48.

The spelling of 20290188288 in words is "twenty billion, two hundred ninety million, one hundred eighty-eight thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 941 1024 1536 1882 2823 3072 3764 5646 7019 7528 11292 14038 15056 21057 22584 28076 30112 42114 45168 56152 60224 84228 90336 112304 120448 168456 180672 224608 240896 336912 361344 449216 481792 673824 722688 898432 963584 1347648 1445376 1796864 2695296 2890752 3593728 5390592 6604879 7187456 10781184 13209758 19814637 21562368 26419516 39629274 52839032 79258548 105678064 158517096 211356128 317034192 422712256 634068384 845424512 1268136768 1690849024 2536273536 3381698048 5072547072 6763396096 10145094144 20290188288