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338191097764 = 22132223672
BaseRepresentation
bin1001110101111011100…
…00101001111110100100
31012022221010012210212111
410322331300221332210
521020103410112024
6415210212530404
733301455620602
oct4727560517644
91168833183774
10338191097764
11120476070313
1255663620a04
1325b781c5100
141252339a872
158be547ea94
hex4ebdc29fa4

338191097764 has 27 divisors (see below), whose sum is σ = 640890778017. Its totient is φ = 156081220464.

The previous prime is 338191097701. The next prime is 338191097837. The reversal of 338191097764 is 467790191833.

The square root of 338191097764 is 581542.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 50028268900 + 288162828864 = 223670^2 + 536808^2 .

It is a super-2 number, since 2×3381910977642 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 338191097699 and 338191097708.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 15108909 + ... + 15131275.

Almost surely, 2338191097764 is an apocalyptic number.

338191097764 is the 581542-nd square number.

It is an amenable number.

338191097764 is a deficient number, since it is larger than the sum of its proper divisors (302699680253).

338191097764 is an frugal number, since it uses more digits than its factorization.

338191097764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44764 (or 22382 counting only the distinct ones).

The product of its (nonzero) digits is 6858432, while the sum is 58.

The spelling of 338191097764 in words is "three hundred thirty-eight billion, one hundred ninety-one million, ninety-seven thousand, seven hundred sixty-four".

Divisors: 1 2 4 13 26 52 169 338 676 22367 44734 89468 290771 581542 1163084 3780023 7560046 15120092 500282689 1000565378 2001130756 6503674957 13007349914 26014699828 84547774441 169095548882 338191097764