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480072561372 = 223368319973259
BaseRepresentation
bin1101111110001101000…
…11011111001011011100
31200220011002012221111000
412333012203133023130
530331142033430442
61004313045030300
746453434304545
oct6770643371334
91626132187430
10480072561372
11175663499958
127905b3b5390
13363697ca781
14193428294cc
15c74b44bd4c
hex6fc68df2dc

480072561372 has 96 divisors (see below), whose sum is σ = 1247461689600. Its totient is φ = 159660870336.

The previous prime is 480072561343. The next prime is 480072561413. The reversal of 480072561372 is 273165270084.

480072561372 is a `hidden beast` number, since 4 + 8 + 0 + 0 + 7 + 25 + 613 + 7 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 147305079 + ... + 147308337.

It is an arithmetic number, because the mean of its divisors is an integer number (12994392600).

Almost surely, 2480072561372 is an apocalyptic number.

It is an amenable number.

480072561372 is an abundant number, since it is smaller than the sum of its proper divisors (767389128228).

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

480072561372 is a wasteful number, since it uses less digits than its factorization.

480072561372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5952 (or 5944 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 480072561372 in words is "four hundred eighty billion, seventy-two million, five hundred sixty-one thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 683 1366 1997 2049 2732 3259 3994 4098 5991 6147 6518 7988 8196 9777 11982 12294 13036 17973 18441 19554 23964 24588 29331 35946 36882 39108 53919 58662 71892 73764 87993 107838 117324 175986 215676 351972 1363951 2225897 2727902 4091853 4451794 5455804 6508223 6677691 8183706 8903588 12275559 13016446 13355382 16367412 19524669 20033073 24551118 26032892 26710764 36826677 39049338 40066146 49102236 58574007 60099219 73653354 78098676 80132292 117148014 120198438 147306708 175722021 234296028 240396876 351444042 702888084 4445116309 8890232618 13335348927 17780465236 26670697854 40006046781 53341395708 80012093562 120018140343 160024187124 240036280686 480072561372