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480970726068 = 223753831106367
BaseRepresentation
bin1101111111111000001…
…01101101101010110100
31200222110200021102211010
412333330011231222310
530340012001213233
61004542131512220
746514621500530
oct6777405555264
91628420242733
10480970726068
11175a84488328
1279270158670
1336480900981
14193c9c28bc0
15c7a0214b63
hex6ffc16dab4

480970726068 has 48 divisors (see below), whose sum is σ = 1282624487424. Its totient is φ = 137416362720.

The previous prime is 480970726043. The next prime is 480970726127. The reversal of 480970726068 is 860627079084.

It is a super-3 number, since 3×4809707260683 (a number of 36 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 480970725999 and 480970726017.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4468621 + ... + 4574987.

It is an arithmetic number, because the mean of its divisors is an integer number (26721343488).

Almost surely, 2480970726068 is an apocalyptic number.

It is an amenable number.

480970726068 is an abundant number, since it is smaller than the sum of its proper divisors (801653761356).

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

480970726068 is a wasteful number, since it uses less digits than its factorization.

480970726068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160212 (or 160210 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 57.

The spelling of 480970726068 in words is "four hundred eighty billion, nine hundred seventy million, seven hundred twenty-six thousand, sixty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 53831 106367 107662 161493 212734 215324 319101 322986 376817 425468 638202 645972 744569 753634 1130451 1276404 1489138 1507268 2233707 2260902 2978276 4467414 4521804 8934828 5725841977 11451683954 17177525931 22903367908 34355051862 40080893839 68710103724 80161787678 120242681517 160323575356 240485363034 480970726068