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20079862875136 = 21023326012
BaseRepresentation
bin1001001000011001101010…
…00110000000010000000000
32122002121122011112220201001
410210030311012000100000
510112442024344001021
6110412321152421344
74141502502166351
oct444146506002000
978077564486631
1020079862875136
116441905126189
122303741547854
13b286a4ba707c
144d5c28addd28
1524c4cb2ba091
hex124335180400

20079862875136 has 99 divisors (see below), whose sum is σ = 40380319431543. Its totient is φ = 9980207923200.

The previous prime is 20079862875113. The next prime is 20079862875161. The reversal of 20079862875136 is 63157826897002.

The square root of 20079862875136 is 4481056.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 64475366400 + 20015387508736 = 253920^2 + 4473856^2 .

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 33410753236 + ... + 33410753836.

Almost surely, 220079862875136 is an apocalyptic number.

20079862875136 is the 4481056-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20079862875136

20079862875136 is an abundant number, since it is smaller than the sum of its proper divisors (20300456556407).

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

20079862875136 is an frugal number, since it uses more digits than its factorization.

20079862875136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1688 (or 836 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 64.

20079862875136 divided by its sum of digits (64) gives a square (313747857424 = 5601322).

The spelling of 20079862875136 in words is "twenty trillion, seventy-nine billion, eight hundred sixty-two million, eight hundred seventy-five thousand, one hundred thirty-six".

Divisors: 1 2 4 8 16 32 64 128 233 256 466 512 601 932 1024 1202 1864 2404 3728 4808 7456 9616 14912 19232 29824 38464 54289 59648 76928 108578 119296 140033 153856 217156 238592 280066 307712 361201 434312 560132 615424 722402 868624 1120264 1444804 1737248 2240528 2889608 3474496 4481056 5779216 6948992 8962112 11558432 13897984 17924224 23116864 27795968 32627689 35848448 46233728 55591936 65255378 71696896 84159833 92467456 130510756 143393792 168319666 184934912 261021512 336639332 369869824 522043024 673278664 1044086048 1346557328 2088172096 2693114656 4176344192 5386229312 8352688384 10772458624 16705376768 19609241089 21544917248 33410753536 39218482178 43089834496 78436964356 86179668992 156873928712 313747857424 627495714848 1254991429696 2509982859392 5019965718784 10039931437568 20079862875136