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481797538560 = 28355131743163
BaseRepresentation
bin1110000001011010101…
…11110000001100000000
31201001121022001212100000
413000231113300030000
530343210132213220
61005200145200000
746544251335552
oct7005527601400
91631538055300
10481797538560
11176369171838
1279461030000
1336582cb0a30
14194679734d2
15c7ecad6390
hex702d5f0300

481797538560 has 1728 divisors, whose sum is σ = 2029413754368. Its totient is φ = 108355387392.

The previous prime is 481797538549. The next prime is 481797538609. The reversal of 481797538560 is 65835797184.

481797538560 is a `hidden beast` number, since 4 + 8 + 1 + 7 + 97 + 538 + 5 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2955813039 + ... + 2955813201.

It is an arithmetic number, because the mean of its divisors is an integer number (1174429256).

Almost surely, 2481797538560 is an apocalyptic number.

481797538560 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 481797538560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1014706877184).

481797538560 is an abundant number, since it is smaller than the sum of its proper divisors (1547616215808).

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

481797538560 is a wasteful number, since it uses less digits than its factorization.

481797538560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 50803200, while the sum is 63.

The spelling of 481797538560 in words is "four hundred eighty-one billion, seven hundred ninety-seven million, five hundred thirty-eight thousand, five hundred sixty".