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481618840961 = 23123716928011
BaseRepresentation
bin1110000001000101011…
…10000100110110000001
31201001010211211002022102
413000202232010312001
530342323410402321
61005130323120145
746536651413366
oct7004256046601
91631124732272
10481618840961
11176287309675
1279411213055
1336554c748cb
141944bd3846d
15c7dc088c0b
hex7022b84d81

481618840961 has 8 divisors (see below), whose sum is σ = 502965092544. Its totient is φ = 460306447920.

The previous prime is 481618840957. The next prime is 481618841051. The reversal of 481618840961 is 169048816184.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 481618840961 - 22 = 481618840957 is a prime.

It is a super-3 number, since 3×4816188409613 (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 481618840897 and 481618840906.

It is not an unprimeable number, because it can be changed into a prime (481618840951) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8435555 + ... + 8492456.

It is an arithmetic number, because the mean of its divisors is an integer number (62870636568).

Almost surely, 2481618840961 is an apocalyptic number.

It is an amenable number.

481618840961 is a deficient number, since it is larger than the sum of its proper divisors (21346251583).

481618840961 is a wasteful number, since it uses less digits than its factorization.

481618840961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16929271.

The product of its (nonzero) digits is 2654208, while the sum is 56.

The spelling of 481618840961 in words is "four hundred eighty-one billion, six hundred eighteen million, eight hundred forty thousand, nine hundred sixty-one".

Divisors: 1 23 1237 28451 16928011 389344253 20939949607 481618840961