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192616398434161 = 132431224772
BaseRepresentation
bin101011110010111100000000…
…000000011010111101110001
3221020222221120222122110220201
4223302330000000122331301
5200221311340444343121
61521354430223035201
755400034625454242
oct5362740000327561
9836887528573821
10192616398434161
1156412179464a39
121972a42213bb01
1383628577c2100
14357c97d474cc9
1517405db941e91
hexaf2f0001af71

192616398434161 has 27 divisors (see below), whose sum is σ = 209142270535233. Its totient is φ = 177315610236960.

The previous prime is 192616398434153. The next prime is 192616398434167. The reversal of 192616398434161 is 161434893616291.

It is a happy number.

The square root of 192616398434161 is 13878631.

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

It can be written as a sum of positive squares in 4 ways, for example, as 27653199994161 + 164963198440000 = 5258631^2 + 12843800^2 .

It is not a de Polignac number, because 192616398434161 - 23 = 192616398434153 is a prime.

It is a Smith number, since the sum of its digits (64) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 192616398434093 and 192616398434102.

It is not an unprimeable number, because it can be changed into a prime (192616398434167) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 77761968255 + ... + 77761970731.

Almost surely, 2192616398434161 is an apocalyptic number.

192616398434161 is the 13878631-st square number.

192616398434161 is the 6939316-th centered octagonal number.

It is an amenable number.

192616398434161 is a deficient number, since it is larger than the sum of its proper divisors (16525872101072).

192616398434161 is an frugal number, since it uses more digits than its factorization.

192616398434161 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5842 (or 2921 counting only the distinct ones).

The product of its digits is 40310784, while the sum is 64.

It can be divided in two parts, 1926163 and 98434161, that added together give a square (100360324 = 100182).

The spelling of 192616398434161 in words is "one hundred ninety-two trillion, six hundred sixteen billion, three hundred ninety-eight million, four hundred thirty-four thousand, one hundred sixty-one".

Divisors: 1 13 169 431 2477 5603 32201 72839 185761 418613 1067587 2414893 6135529 13878631 31393609 79761877 180422203 460129997 1036904401 2644412999 5981689961 34377368987 77761969493 446905796831 1139742002569 14816646033397 192616398434161