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398057663047248 = 24322764289326717
BaseRepresentation
bin101101010000010000000010…
…1100110110010011001010000
31221012101221101221121120102100
41122200200011212302121100
5404133234043220002443
63530333055501120400
7146562500653143531
oct13240400546623120
91835357357546370
10398057663047248
111059193414a2766
123878a2a9b59100
13141158a4530ba9
147042145120688
1531045d76333d3
hex16a08059b2650

398057663047248 has 30 divisors (see below), whose sum is σ = 1114008598667354. Its totient is φ = 132685887682368.

The previous prime is 398057663047207. The next prime is 398057663047279. The reversal of 398057663047248 is 842740366750893.

398057663047248 is a `hidden beast` number, since 3 + 9 + 8 + 0 + 5 + 76 + 6 + 304 + 7 + 248 = 666.

It can be written as a sum of positive squares in only one way, i.e., 397794727923264 + 262935123984 = 19944792^2 + 512772^2 .

It is a super-2 number, since 2×3980576630472482 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

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, 1382144663215 + ... + 1382144663502.

Almost surely, 2398057663047248 is an apocalyptic number.

It is an amenable number.

398057663047248 is an abundant number, since it is smaller than the sum of its proper divisors (715950935620106).

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

398057663047248 is a wasteful number, since it uses less digits than its factorization.

398057663047248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2764289326731 (or 2764289326722 counting only the distinct ones).

The product of its (nonzero) digits is 1463132160, while the sum is 72.

The spelling of 398057663047248 in words is "three hundred ninety-eight trillion, fifty-seven billion, six hundred sixty-three million, forty-seven thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 2764289326717 5528578653434 8292867980151 11057157306868 16585735960302 22114314613736 24878603940453 33171471920604 44228629227472 49757207880906 66342943841208 99514415761812 132685887682416 199028831523624 398057663047248