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48676555567656 = 23321574306135489
BaseRepresentation
bin10110001000101011001001…
…10011011011001000101000
320101100102200211222020202200
423010111210303123020220
522340004041211131111
6251305411222100200
713152523265356632
oct1304254463331050
9211312624866680
1048676555567656
111456767a693985
125561a13b7a660
13212124446bc83
14c03d5a521a52
155962c78db256
hex2c4564cdb228

48676555567656 has 48 divisors (see below), whose sum is σ = 132672034446900. Its totient is φ = 16122171267072.

The previous prime is 48676555567637. The next prime is 48676555567657. The reversal of 48676555567656 is 65676555567684.

48676555567656 is a `hidden beast` number, since 4 + 8 + 6 + 7 + 6 + 5 + 5 + 556 + 7 + 6 + 56 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 48668287302756 + 8268264900 = 6976266^2 + 90930^2 .

It is a super-2 number, since 2×486765555676562 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (48676555567657) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2153056441 + ... + 2153079048.

Almost surely, 248676555567656 is an apocalyptic number.

It is an amenable number.

48676555567656 is an abundant number, since it is smaller than the sum of its proper divisors (83995478879244).

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

48676555567656 is a wasteful number, since it uses less digits than its factorization.

48676555567656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4306135658 (or 4306135651 counting only the distinct ones).

The product of its digits is 38102400000, while the sum is 81.

The spelling of 48676555567656 in words is "forty-eight trillion, six hundred seventy-six billion, five hundred fifty-five million, five hundred sixty-seven thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 157 314 471 628 942 1256 1413 1884 2826 3768 5652 11304 4306135489 8612270978 12918406467 17224541956 25836812934 34449083912 38755219401 51673625868 77510438802 103347251736 155020877604 310041755208 676063271773 1352126543546 2028189815319 2704253087092 4056379630638 5408506174184 6084569445957 8112759261276 12169138891914 16225518522552 24338277783828 48676555567656