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481253441328 = 243211243679587
BaseRepresentation
bin1110000000011001111…
…00001011111100110000
31201000012101020212020200
413000030330023330300
530341101340110303
61005030151235200
746524623520342
oct7001474137460
91630171225220
10481253441328
1117610a026500
127932a978b00
13364c73591ca
14194155bd292
15c7b9e5c3a3
hex700cf0bf30

481253441328 has 360 divisors, whose sum is σ = 1537610378304. Its totient is φ = 140302229760.

The previous prime is 481253441299. The next prime is 481253441369. The reversal of 481253441328 is 823144352184.

481253441328 is a `hidden beast` number, since 4 + 81 + 2 + 534 + 4 + 1 + 32 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 50193751 + ... + 50203337.

Almost surely, 2481253441328 is an apocalyptic number.

481253441328 is a gapful number since it is divisible by the number (48) 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 481253441328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (768805189152).

481253441328 is an abundant number, since it is smaller than the sum of its proper divisors (1056356936976).

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

481253441328 is a wasteful number, since it uses less digits than its factorization.

481253441328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9733 (or 9713 counting only the distinct ones).

The product of its digits is 737280, while the sum is 45.

The spelling of 481253441328 in words is "four hundred eighty-one billion, two hundred fifty-three million, four hundred forty-one thousand, three hundred twenty-eight".