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480082131320 = 235112179554137
BaseRepresentation
bin1101111110001110001…
…11111111100101111000
31200220011202020010222112
412333013013333211320
530331202011200240
61004314030111452
746453611533351
oct6770707774570
91626152203875
10480082131320
11175668935a00
127906264b588
133636b79b66c
1419343bdad28
15c74c1dc665
hex6fc71ff978

480082131320 has 96 divisors (see below), whose sum is σ = 1193945734800. Its totient is φ = 173599726080.

The previous prime is 480082131311. The next prime is 480082131349. The reversal of 480082131320 is 23131280084.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 589292 + ... + 1143428.

Almost surely, 2480082131320 is an apocalyptic number.

480082131320 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 480082131320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (596972867400).

480082131320 is an abundant number, since it is smaller than the sum of its proper divisors (713863603480).

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

480082131320 is a wasteful number, since it uses less digits than its factorization.

480082131320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 554349 (or 554334 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

The spelling of 480082131320 in words is "four hundred eighty billion, eighty-two million, one hundred thirty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 121 179 220 242 358 440 484 605 716 895 968 1210 1432 1790 1969 2420 3580 3938 4840 7160 7876 9845 15752 19690 21659 39380 43318 78760 86636 108295 173272 216590 433180 554137 866360 1108274 2216548 2770685 4433096 5541370 6095507 11082740 12191014 22165480 24382028 30477535 48764056 60955070 67050577 99190523 121910140 134101154 198381046 243820280 268202308 335252885 396762092 495952615 536404616 670505770 793524184 991905230 1091095753 1341011540 1983810460 2182191506 2682023080 3967620920 4364383012 5455478765 8728766024 10910957530 12002053283 21821915060 24004106566 43643830120 48008213132 60010266415 96016426264 120020532830 240041065660 480082131320