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468593479980 = 2232521112337901
BaseRepresentation
bin1101101000110100101…
…10010001000100101100
31122210112002022012010100
412310122112101010230
530134134412324410
6555134024311100
745566116601133
oct6643226210454
91583462265110
10468593479980
1117080289212a
1276997012490
133525a563612
141897408a91a
15c2c87c78c0
hex6d1a59112c

468593479980 has 72 divisors (see below), whose sum is σ = 1428136832304. Its totient is φ = 124366032000.

The previous prime is 468593479961. The next prime is 468593479997. The reversal of 468593479980 is 89974395864.

468593479980 is a `hidden beast` number, since 4 + 68 + 5 + 9 + 3 + 479 + 98 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 468593479899 and 468593479908.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6130971 + ... + 6206930.

It is an arithmetic number, because the mean of its divisors is an integer number (19835233782).

Almost surely, 2468593479980 is an apocalyptic number.

It is an amenable number.

468593479980 is an abundant number, since it is smaller than the sum of its proper divisors (959543352324).

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

468593479980 is a wasteful number, since it uses less digits than its factorization.

468593479980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12338127 (or 12338122 counting only the distinct ones).

The product of its (nonzero) digits is 470292480, while the sum is 72.

The spelling of 468593479980 in words is "four hundred sixty-eight billion, five hundred ninety-three million, four hundred seventy-nine thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 211 422 633 844 1055 1266 1899 2110 2532 3165 3798 4220 6330 7596 9495 12660 18990 37980 12337901 24675802 37013703 49351604 61689505 74027406 111041109 123379010 148054812 185068515 222082218 246758020 370137030 444164436 555205545 740274060 1110411090 2220822180 2603297111 5206594222 7809891333 10413188444 13016485555 15619782666 23429673999 26032971110 31239565332 39049456665 46859347998 52065942220 78098913330 93718695996 117148369995 156197826660 234296739990 468593479980