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46647644674664 = 2311248189715573
BaseRepresentation
bin10101001101101000000000…
…10010100101101001101000
320010011110201120011212101002
422212310000102211221220
522103233334014042124
6243113344312214132
712553116056340035
oct1246640022455150
9203143646155332
1046647644674664
1113955178354300
12529476199a348
132004b1437b337
14b73a8812c38c
1555d62b7180ae
hex2a6d004a5a68

46647644674664 has 24 divisors (see below), whose sum is σ = 96138482570130. Its totient is φ = 21203474851680.

The previous prime is 46647644674637. The next prime is 46647644674693.

46647644674664 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 46643026384900 + 4618289764 = 6829570^2 + 67958^2 .

It is a junction number, because it is equal to n+sod(n) for n = 46647644674591 and 46647644674600.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 24094856819 + ... + 24094858754.

Almost surely, 246647644674664 is an apocalyptic number.

46647644674664 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

46647644674664 is an abundant number, since it is smaller than the sum of its proper divisors (49490837895466).

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

46647644674664 is a wasteful number, since it uses less digits than its factorization.

46647644674664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48189715601 (or 48189715586 counting only the distinct ones).

The product of its digits is 9364045824, while the sum is 74.

The spelling of 46647644674664 in words is "forty-six trillion, six hundred forty-seven billion, six hundred forty-four million, six hundred seventy-four thousand, six hundred sixty-four".

Divisors: 1 2 4 8 11 22 44 88 121 242 484 968 48189715573 96379431146 192758862292 385517724584 530086871303 1060173742606 2120347485212 4240694970424 5830955584333 11661911168666 23323822337332 46647644674664