Search a number
-
+
420127405506 = 23329268280591
BaseRepresentation
bin1100001110100011000…
…10110111010111000010
31111011102101211111202000
412013101202313113002
523340410103434011
6521000500204430
742232102011354
oct6072142672702
91434371744660
10420127405506
111521a1a71026
126950b999716
1330805533843
14164973710d4
15addd92e356
hex61d18b75c2

420127405506 has 32 divisors (see below), whose sum is σ = 965810131200. Its totient is φ = 135213417360.

The previous prime is 420127405501. The next prime is 420127405507. The reversal of 420127405506 is 605504721024.

It is a happy number.

420127405506 is a `hidden beast` number, since 4 + 20 + 12 + 74 + 0 + 550 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (420127405501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 134138730 + ... + 134141861.

It is an arithmetic number, because the mean of its divisors is an integer number (30181566600).

Almost surely, 2420127405506 is an apocalyptic number.

420127405506 is an abundant number, since it is smaller than the sum of its proper divisors (545682725694).

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

420127405506 is a wasteful number, since it uses less digits than its factorization.

420127405506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268280631 (or 268280625 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The spelling of 420127405506 in words is "four hundred twenty billion, one hundred twenty-seven million, four hundred five thousand, five hundred six".

Divisors: 1 2 3 6 9 18 27 29 54 58 87 174 261 522 783 1566 268280591 536561182 804841773 1609683546 2414525319 4829050638 7243575957 7780137139 14487151914 15560274278 23340411417 46680822834 70021234251 140042468502 210063702753 420127405506