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3661660944 = 243327131277
BaseRepresentation
bin1101101001000000…
…1000001100010000
3100110012001122112000
43122100020030100
524444341122234
61403202034000
7156511414224
oct33220101420
910405048460
103661660944
111609a04077
12862348900
134647bc0a6
1426a440784
151666e1899
hexda408310

3661660944 has 80 divisors (see below), whose sum is σ = 10549443840. Its totient is φ = 1216010880.

The previous prime is 3661660931. The next prime is 3661661023. The reversal of 3661660944 is 4490661663.

3661660944 is a `hidden beast` number, since 36 + 6 + 1 + 6 + 609 + 4 + 4 = 666.

It is a super-2 number, since 2×36616609442 = 26815521737629942272, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3661660944.

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, 101434 + ... + 132710.

It is an arithmetic number, because the mean of its divisors is an integer number (131868048).

Almost surely, 23661660944 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3661660944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5274721920).

3661660944 is an abundant number, since it is smaller than the sum of its proper divisors (6887782896).

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

3661660944 is a wasteful number, since it uses less digits than its factorization.

3661660944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31565 (or 31553 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The square root of 3661660944 is about 60511.6595706976. The cubic root of 3661660944 is about 1541.3196289901.

The spelling of 3661660944 in words is "three billion, six hundred sixty-one million, six hundred sixty thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 271 432 542 813 1084 1626 2168 2439 3252 4336 4878 6504 7317 9756 13008 14634 19512 29268 31277 39024 58536 62554 93831 117072 125108 187662 250216 281493 375324 500432 562986 750648 844479 1125972 1501296 1688958 2251944 3377916 4503888 6755832 8476067 13511664 16952134 25428201 33904268 50856402 67808536 76284603 101712804 135617072 152569206 203425608 228853809 305138412 406851216 457707618 610276824 915415236 1220553648 1830830472 3661660944