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426215446940196 = 22321723219972
BaseRepresentation
bin110000011101001000000010…
…0010100000000101000100100
32001220002210120022200201120100
41200322100010110000220210
5421331103213404041241
64110252401231504100
7155530023050155464
oct14072200424005044
92056083508621510
10426215446940196
11113894a57425061
123b9774aa988030
13153a8c374c4834
147736d1b09dba4
153441c9656c9b6
hex183a404500a24

426215446940196 has 81 divisors (see below), whose sum is σ = 1078543671948561. Its totient is φ = 141918258240864.

The previous prime is 426215446940111. The next prime is 426215446940209. The reversal of 426215446940196 is 691049644512624.

The square root of 426215446940196 is 20644986.

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

426215446940196 is a `hidden beast` number, since 4 + 2 + 6 + 2 + 15 + 446 + 94 + 0 + 1 + 96 = 666.

It can be written as a sum of positive squares in only one way, i.e., 10604596860900 + 415610850079296 = 3256470^2 + 20386536^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 213427864270 + ... + 213427866266.

Almost surely, 2426215446940196 is an apocalyptic number.

426215446940196 is the 20644986-th square number.

It is an amenable number.

426215446940196 is an abundant number, since it is smaller than the sum of its proper divisors (652328225008365).

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

426215446940196 is an frugal number, since it uses more digits than its factorization.

426215446940196 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7450 (or 3725 counting only the distinct ones).

The product of its (nonzero) digits is 89579520, while the sum is 63.

The spelling of 426215446940196 in words is "four hundred twenty-six trillion, two hundred fifteen billion, four hundred forty-six million, nine hundred forty thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 36 1723 1997 3446 3994 5169 5991 6892 7988 10338 11982 15507 17973 20676 23964 31014 35946 62028 71892 2968729 3440831 3988009 5937458 6881662 7976018 8906187 10322493 11874916 11964027 13763324 15952036 17812374 20644986 23928054 26718561 30967479 35624748 35892081 41289972 47856108 53437122 61934958 71784162 106874244 123869916 143568324 5928551813 6871339507 11857103626 13742679014 17785655439 20614018521 23714207252 27485358028 35571310878 41228037042 53356966317 61842055563 71142621756 82456074084 106713932634 123684111126 213427865268 247368222252 11839317970561 23678635941122 35517953911683 47357271882244 71035907823366 106553861735049 142071815646732 213107723470098 426215446940196