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20857873824 = 253272423173
BaseRepresentation
bin10011011011001110…
…011110010110100000
31222211121202202220100
4103123032132112200
5320204103430244
613325412342400
71335610000524
oct233316362640
958747682810
1020857873824
1189337a9357
124061314a00
131c75341a98
14101c1d7d84
15821225b69
hex4db39e5a0

20857873824 has 36 divisors (see below), whose sum is σ = 59314579506. Its totient is φ = 6952624512.

The previous prime is 20857873823. The next prime is 20857873831. The reversal of 20857873824 is 42837875802.

20857873824 is a `hidden beast` number, since 208 + 57 + 8 + 7 + 382 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 19326560400 + 1531313424 = 139020^2 + 39132^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (20857873823) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 36211299 + ... + 36211874.

Almost surely, 220857873824 is an apocalyptic number.

20857873824 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

20857873824 is an abundant number, since it is smaller than the sum of its proper divisors (38456705682).

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

20857873824 is a wasteful number, since it uses less digits than its factorization.

20857873824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72423189 (or 72423178 counting only the distinct ones).

The product of its (nonzero) digits is 6021120, while the sum is 54.

The spelling of 20857873824 in words is "twenty billion, eight hundred fifty-seven million, eight hundred seventy-three thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 72423173 144846346 217269519 289692692 434539038 579385384 651808557 869078076 1158770768 1303617114 1738156152 2317541536 2607234228 3476312304 5214468456 6952624608 10428936912 20857873824