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424880419968 = 2732368819809
BaseRepresentation
bin1100010111011001101…
…10001011010010000000
31111121200122110122211200
412023230312023102000
523430123341414333
6523104245541200
742460634660364
oct6135466132200
91447618418750
10424880419968
11154210a14154
126a417714800
13310b2166b34
14167c86dd2a4
15b0bad49c13
hex62ecd8b480

424880419968 has 48 divisors (see below), whose sum is σ = 1222637670150. Its totient is φ = 141626806272.

The previous prime is 424880419937. The next prime is 424880420023. The reversal of 424880419968 is 869914088424.

424880419968 is a `hidden beast` number, since 4 + 2 + 488 + 0 + 4 + 1 + 99 + 68 = 666.

It can be written as a sum of positive squares in only one way, i.e., 294536314944 + 130344105024 = 542712^2 + 361032^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 184408753 + ... + 184411056.

Almost surely, 2424880419968 is an apocalyptic number.

424880419968 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

424880419968 is an abundant number, since it is smaller than the sum of its proper divisors (797757250182).

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

424880419968 is a wasteful number, since it uses less digits than its factorization.

424880419968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368819829 (or 368819814 counting only the distinct ones).

The product of its (nonzero) digits is 31850496, while the sum is 63.

The spelling of 424880419968 in words is "four hundred twenty-four billion, eight hundred eighty million, four hundred nineteen thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 368819809 737639618 1106459427 1475279236 2212918854 2950558472 3319378281 4425837708 5901116944 6638756562 8851675416 11802233888 13277513124 17703350832 23604467776 26555026248 35406701664 47208935552 53110052496 70813403328 106220104992 141626806656 212440209984 424880419968