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20864624896 = 28293190659
BaseRepresentation
bin10011011011101000…
…001110100100000000
31222212002110202122001
4103123220032210000
5320212320444041
613330213153344
71336021246123
oct233350164400
958762422561
1020864624896
11893759a555
12406362b854
131c768668bb
14101d0743ba
15821b0b131
hex4dba0e900

20864624896 has 72 divisors (see below), whose sum is σ = 44474169600. Its totient is φ = 9747548160.

The previous prime is 20864624881. The next prime is 20864624899. The reversal of 20864624896 is 69842646802.

It is not an unprimeable number, because it can be changed into a prime (20864624899) 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, 184815 + ... + 275473.

It is an arithmetic number, because the mean of its divisors is an integer number (617696800).

Almost surely, 220864624896 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 20864624896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22237084800).

20864624896 is an abundant number, since it is smaller than the sum of its proper divisors (23609544704).

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

20864624896 is an equidigital number, since it uses as much as digits as its factorization.

20864624896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90735 (or 90721 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 55.

The spelling of 20864624896 in words is "twenty billion, eight hundred sixty-four million, six hundred twenty-four thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 16 29 31 32 58 62 64 116 124 128 232 248 256 464 496 899 928 992 1798 1856 1984 3596 3712 3968 7192 7424 7936 14384 28768 57536 90659 115072 181318 230144 362636 725272 1450544 2629111 2810429 2901088 5258222 5620858 5802176 10516444 11241716 11604352 21032888 22483432 23208704 42065776 44966864 81502441 84131552 89933728 163004882 168263104 179867456 326009764 336526208 359734912 652019528 673052416 719469824 1304039056 2608078112 5216156224 10432312448 20864624896