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426106121601624 = 23324317730123853
BaseRepresentation
bin110000011100010101001000…
…0000000111100001001011000
32001212201100101020210002200120
41200320222100000330021120
5421322310314112222444
64110130241102233240
7155516102630134122
oct14070522000741130
92055640336702616
10426106121601624
11113852656098082
123b95a279b85820
131539b833a04999
14773190973a212
15343dee87deb19
hex1838a9003c258

426106121601624 has 32 divisors (see below), whose sum is σ = 1065309112894320. Its totient is φ = 142029532681856.

The previous prime is 426106121601613. The next prime is 426106121601731.

It is a happy number.

426106121601624 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 364478319 + ... + 365645534.

Almost surely, 2426106121601624 is an apocalyptic number.

It is an amenable number.

426106121601624 is an abundant number, since it is smaller than the sum of its proper divisors (639202991292696).

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

426106121601624 is a wasteful number, since it uses less digits than its factorization.

426106121601624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 730148179 (or 730148175 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The spelling of 426106121601624 in words is "four hundred twenty-six trillion, one hundred six billion, one hundred twenty-one million, six hundred one thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 24 24317 48634 72951 97268 145902 194536 291804 583608 730123853 1460247706 2190371559 2920495412 4380743118 5840990824 8761486236 17522972472 17754421733401 35508843466802 53263265200203 71017686933604 106526530400406 142035373867208 213053060800812 426106121601624