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481920369699321 = 32730797332560057
BaseRepresentation
bin110110110010011011101010…
…0011100100010100111111001
32100012100010201011111120212100
41231210313110130202213321
51001131240404120334241
64424543054514534013
7203336412006141030
oct15544672434424771
92305303634446770
10481920369699321
1112a61131006a073
1246073490897309
13178b9b852a2007
1487010db06b717
153aaacc4c519b6
hex1b64dd47229f9

481920369699321 has 48 divisors (see below), whose sum is σ = 798224773650304. Its totient is φ = 274457746351872.

The previous prime is 481920369699319. The next prime is 481920369699337. The reversal of 481920369699321 is 123996963029184.

481920369699321 is a `hidden beast` number, since 4 + 8 + 1 + 9 + 203 + 6 + 9 + 6 + 99 + 321 = 666.

It is not a de Polignac number, because 481920369699321 - 21 = 481920369699319 is a prime.

It is a super-2 number, since 2×4819203696993212 (a number of 30 digits) contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 481920369699321.

It is not an unprimeable number, because it can be changed into a prime (481920369699221) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 186965925 + ... + 189525981.

Almost surely, 2481920369699321 is an apocalyptic number.

It is an amenable number.

481920369699321 is a deficient number, since it is larger than the sum of its proper divisors (316304403950983).

481920369699321 is a wasteful number, since it uses less digits than its factorization.

481920369699321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2570110 (or 2570107 counting only the distinct ones).

The product of its (nonzero) digits is 272097792, while the sum is 72.

The spelling of 481920369699321 in words is "four hundred eighty-one trillion, nine hundred twenty billion, three hundred sixty-nine million, six hundred ninety-nine thousand, three hundred twenty-one".

Divisors: 1 3 7 9 21 63 307 921 2149 2763 6447 9733 19341 29199 68131 87597 204393 613179 2560057 2988031 7680171 8964093 17920399 20916217 23040513 26892279 53761197 62748651 161283591 188245953 785937499 2357812497 5501562493 7073437491 16504687479 24917034781 49514062437 74751104343 174419243467 224253313029 523257730401 1569773191203 7649529677767 22948589033301 53546707744369 68845767099903 160640123233107 481920369699321