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2980725696 = 263313132689
BaseRepresentation
bin1011000110101010…
…0100001111000000
321200201202112222000
42301222210033000
522101031210241
61211435144000
7133602515244
oct26152441700
97621675860
102980725696
11129a5a6373
126b22a5000
133866c6520
14203c2a424
15126a37eb6
hexb1aa43c0

2980725696 has 112 divisors (see below), whose sum is σ = 9436912800. Its totient is φ = 917139456.

The previous prime is 2980725677. The next prime is 2980725703. The reversal of 2980725696 is 6965270892.

2980725696 is a `hidden beast` number, since 2 + 9 + 8 + 0 + 72 + 569 + 6 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43881 + ... + 88808.

It is an arithmetic number, because the mean of its divisors is an integer number (84258150).

Almost surely, 22980725696 is an apocalyptic number.

2980725696 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

2980725696 is an abundant number, since it is smaller than the sum of its proper divisors (6456187104).

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

2980725696 is a wasteful number, since it uses less digits than its factorization.

2980725696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132723 (or 132707 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The square root of 2980725696 is about 54596.0227122819. The cubic root of 2980725696 is about 1439.1542255595.

The spelling of 2980725696 in words is "two billion, nine hundred eighty million, seven hundred twenty-five thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 96 104 108 117 144 156 192 208 216 234 288 312 351 416 432 468 576 624 702 832 864 936 1248 1404 1728 1872 2496 2808 3744 5616 7488 11232 22464 132689 265378 398067 530756 796134 1061512 1194201 1592268 1724957 2123024 2388402 3184536 3449914 3582603 4246048 4776804 5174871 6369072 6899828 7165206 8492096 9553608 10349742 12738144 13799656 14330412 15524613 19107216 20699484 25476288 27599312 28660824 31049226 38214432 41398968 46573839 55198624 57321648 62098452 76428864 82797936 93147678 110397248 114643296 124196904 165595872 186295356 229286592 248393808 331191744 372590712 496787616 745181424 993575232 1490362848 2980725696