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238853356416 = 273369112661
BaseRepresentation
bin1101111001110011000…
…1001111101110000000
3211211112002201200201000
43132130301033232000
512403132424401131
6301421104212000
723154003013413
oct3363461175600
9754462650630
10238853356416
119232a546a14
123a35b60a000
13196a696c2bc
14b7bc28bb7a
15632e45ece6
hex379cc4fb80

238853356416 has 64 divisors (see below), whose sum is σ = 704949152400. Its totient is φ = 79617784320.

The previous prime is 238853356409. The next prime is 238853356487. The reversal of 238853356416 is 614653358832.

238853356416 is a `hidden beast` number, since 2 + 38 + 8 + 5 + 33 + 564 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (64).

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 polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34552875 + ... + 34559786.

Almost surely, 2238853356416 is an apocalyptic number.

It is an amenable number.

238853356416 is an abundant number, since it is smaller than the sum of its proper divisors (466095795984).

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

238853356416 is an equidigital number, since it uses as much as digits as its factorization.

238853356416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69112684 (or 69112666 counting only the distinct ones).

The product of its digits is 12441600, while the sum is 54.

The spelling of 238853356416 in words is "two hundred thirty-eight billion, eight hundred fifty-three million, three hundred fifty-six thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 288 384 432 576 864 1152 1728 3456 69112661 138225322 207337983 276450644 414675966 552901288 622013949 829351932 1105802576 1244027898 1658703864 1866041847 2211605152 2488055796 3317407728 3732083694 4423210304 4976111592 6634815456 7464167388 8846420608 9952223184 13269630912 14928334776 19904446368 26539261824 29856669552 39808892736 59713339104 79617785472 119426678208 238853356416