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481320745398 = 233311163247229
BaseRepresentation
bin1110000000100001111…
…00111011100110110110
31201000101001220021002000
413000100330323212312
530341221102323043
61005040554000130
746526401555203
oct7002074734666
91630331807060
10481320745398
11176144015aa9
1279349416046
13365082928bc
14194204dccaa
15c7c0d042d3
hex7010f3b9b6

481320745398 has 64 divisors (see below), whose sum is σ = 1105058764800. Its totient is φ = 155130625440.

The previous prime is 481320745397. The next prime is 481320745417. The reversal of 481320745398 is 893547023184.

It is a happy number.

481320745398 is a `hidden beast` number, since 4 + 8 + 1 + 3 + 207 + 45 + 398 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (481320745393) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1823248 + ... + 2070476.

It is an arithmetic number, because the mean of its divisors is an integer number (17266543200).

Almost surely, 2481320745398 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 481320745398, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (552529382400).

481320745398 is an abundant number, since it is smaller than the sum of its proper divisors (623738019402).

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

481320745398 is a wasteful number, since it uses less digits than its factorization.

481320745398 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248434 (or 248428 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 481320745398 in words is "four hundred eighty-one billion, three hundred twenty million, seven hundred forty-five thousand, three hundred ninety-eight".

Divisors: 1 2 3 6 9 18 27 31 54 62 93 186 279 558 837 1163 1674 2326 3489 6978 10467 20934 31401 36053 62802 72106 108159 216318 247229 324477 494458 648954 741687 973431 1483374 1946862 2225061 4450122 6675183 7664099 13350366 15328198 22992297 45984594 68976891 137953782 206930673 287527327 413861346 575054654 862581981 1725163962 2587745943 5175491886 7763237829 8913347137 15526475658 17826694274 26740041411 53480082822 80220124233 160440248466 240660372699 481320745398