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422601406084 = 2211213222732
BaseRepresentation
bin1100010011001010000…
…00011011011010000100
31111101210211002202112001
412021211000123122010
523410441424443314
6522050154435044
742350312453134
oct6114500333204
91441724082461
10422601406084
11153251527300
1269aa0432a84
1330b0ac5bc00
141664db74ac4
15aed5c21674
hex626501b684

422601406084 has 81 divisors (see below), whose sum is σ = 880624473519. Its totient is φ = 177237265920.

The previous prime is 422601406079. The next prime is 422601406099. The reversal of 422601406084 is 480604106224.

It is a happy number.

The square root of 422601406084 is 650078.

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 1400406084 + 421201000000 = 37422^2 + 649000^2 .

It is a Duffinian number.

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, 185921172 + ... + 185923444.

Almost surely, 2422601406084 is an apocalyptic number.

422601406084 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

422601406084 is the 650078-th square number.

It is an amenable number.

422601406084 is an abundant number, since it is smaller than the sum of its proper divisors (458023067435).

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

422601406084 is a wasteful number, since it uses less digits than its factorization.

422601406084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4598 (or 2299 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 37.

It can be divided in two parts, 42260140 and 6084, that added together give a palindrome (42266224).

The spelling of 422601406084 in words is "four hundred twenty-two billion, six hundred one million, four hundred six thousand, eighty-four".

Divisors: 1 2 4 11 13 22 26 44 52 121 143 169 242 286 338 484 572 676 1573 1859 2273 3146 3718 4546 6292 7436 9092 20449 25003 29549 40898 50006 59098 81796 100012 118196 275033 325039 384137 550066 650078 768274 1100132 1300156 1536548 3575429 4225507 5166529 7150858 8451014 10333058 14301716 16902028 20666116 46480577 56831819 67164877 92961154 113663638 134329754 185922308 227327276 268659508 625150009 738813647 873143401 1250300018 1477627294 1746286802 2500600036 2955254588 3492573604 8126950117 9604577411 16253900234 19209154822 32507800468 38418309644 105650351521 211300703042 422601406084