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20073993312 = 2531747925679
BaseRepresentation
bin10010101100100000…
…001101010001100000
31220210222202111222210
4102230200031101200
5312102420241222
613115531202120
71310311061562
oct225440152140
956728674883
1020073993312
11857127831a
123a828a6340
131b7bb13c69
14d86067332
157c74d4d0c
hex4ac80d460

20073993312 has 96 divisors (see below), whose sum is σ = 55912550400. Its totient is φ = 6284331008.

The previous prime is 20073993307. The next prime is 20073993341. The reversal of 20073993312 is 21339937002.

It is a tau number, because it is divible by the number of its divisors (96).

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, 768889 + ... + 794567.

It is an arithmetic number, because the mean of its divisors is an integer number (582422400).

Almost surely, 220073993312 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 20073993312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27956275200).

20073993312 is an abundant number, since it is smaller than the sum of its proper divisors (35838557088).

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

20073993312 is a wasteful number, since it uses less digits than its factorization.

20073993312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26188 (or 26180 counting only the distinct ones).

The product of its (nonzero) digits is 61236, while the sum is 39.

The spelling of 20073993312 in words is "twenty billion, seventy-three million, nine hundred ninety-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 204 272 408 479 544 816 958 1437 1632 1916 2874 3832 5748 7664 8143 11496 15328 16286 22992 24429 25679 32572 45984 48858 51358 65144 77037 97716 102716 130288 154074 195432 205432 260576 308148 390864 410864 436543 616296 781728 821728 873086 1232592 1309629 1746172 2465184 2619258 3492344 5238516 6984688 10477032 12300241 13969376 20954064 24600482 36900723 41908128 49200964 73801446 98401928 147602892 196803856 209104097 295205784 393607712 418208194 590411568 627312291 836416388 1180823136 1254624582 1672832776 2509249164 3345665552 5018498328 6691331104 10036996656 20073993312