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4992660456 = 2337174717011
BaseRepresentation
bin1001010011001010…
…11111001111101000
3110212221120102121020
410221211133033220
540211110113311
62143230012440
7234502625250
oct45145371750
913787512536
104992660456
112132254773
12b74047120
1361748bc74
14355110960
151e34a6c06
hex12995f3e8

4992660456 has 64 divisors (see below), whose sum is σ = 14273748480. Its totient is φ = 1425574080.

The previous prime is 4992660443. The next prime is 4992660481. The reversal of 4992660456 is 6540662994.

It is a happy number.

It is a super-2 number, since 2×49926604562 = 49853316857812255872, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4992660399 and 4992660408.

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, 284991 + ... + 302001.

It is an arithmetic number, because the mean of its divisors is an integer number (223027320).

Almost surely, 24992660456 is an apocalyptic number.

It is an amenable number.

4992660456 is an abundant number, since it is smaller than the sum of its proper divisors (9281088024).

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

4992660456 is a wasteful number, since it uses less digits than its factorization.

4992660456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18774 (or 18770 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 51.

The square root of 4992660456 is about 70658.7606457968. The cubic root of 4992660456 is about 1709.1388406979.

The spelling of 4992660456 in words is "four billion, nine hundred ninety-two million, six hundred sixty thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 1747 3494 5241 6988 10482 12229 13976 17011 20964 24458 34022 36687 41928 48916 51033 68044 73374 97832 102066 119077 136088 146748 204132 238154 293496 357231 408264 476308 714462 952616 1428924 2857848 29718217 59436434 89154651 118872868 178309302 208027519 237745736 356618604 416055038 624082557 713237208 832110076 1248165114 1664220152 2496330228 4992660456