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172195121296 = 2411294312
BaseRepresentation
bin1010000001011110100…
…0010000100010010000
3121110110120111111110001
42200113220100202100
510310123422340141
6211034431015344
715304104244462
oct2402750204220
9543416444401
10172195121296
1167033725300
122945796a554
131331296ac23
148497404132
15472c401a31
hex2817a10890

172195121296 has 45 divisors (see below), whose sum is σ = 366754014739. Its totient is φ = 78262210400.

The previous prime is 172195121257. The next prime is 172195121321. The reversal of 172195121296 is 692121591271.

The square root of 172195121296 is 414964.

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

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

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, 18253701 + ... + 18263131.

Almost surely, 2172195121296 is an apocalyptic number.

172195121296 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

172195121296 is the 414964-th square number.

It is an amenable number.

172195121296 is an abundant number, since it is smaller than the sum of its proper divisors (194558893443).

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

172195121296 is an frugal number, since it uses more digits than its factorization.

172195121296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18892 (or 9444 counting only the distinct ones).

The product of its digits is 136080, while the sum is 46.

The spelling of 172195121296 in words is "one hundred seventy-two billion, one hundred ninety-five million, one hundred twenty-one thousand, two hundred ninety-six".

Divisors: 1 2 4 8 11 16 22 44 88 121 176 242 484 968 1936 9431 18862 37724 75448 103741 150896 207482 414964 829928 1141151 1659856 2282302 4564604 9129208 18258416 88943761 177887522 355775044 711550088 978381371 1423100176 1956762742 3913525484 7827050968 10762195081 15654101936 21524390162 43048780324 86097560648 172195121296