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152312424786064 = 24412752532
BaseRepresentation
bin100010101000011011111111…
…111110010110100010010000
3201222021220222202200012102101
4202220123333332112202100
5124430441321221123224
61255535210104330144
744040131606134144
oct4250337776264220
9658256882605371
10152312424786064
1144593378018a84
12150bb202a73954
1366cb0000a29aa
142987d64203224
151291ee0799044
hex8a86fff96890

152312424786064 has 45 divisors (see below), whose sum is σ = 302482586804619. Its totient is φ = 74297756478720.

The previous prime is 152312424786013. The next prime is 152312424786089. The reversal of 152312424786064 is 460687424213251.

The square root of 152312424786064 is 12341492.

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 18433455296400 + 133878969489664 = 4293420^2 + 11570608^2 .

It is a super-2 number, since 2×1523124247860642 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 152312424785996 and 152312424786014.

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, 2023967062 + ... + 2024042314.

Almost surely, 2152312424786064 is an apocalyptic number.

152312424786064 is the 12341492-nd square number.

It is an amenable number.

152312424786064 is a deficient number, since it is larger than the sum of its proper divisors (150170162018555).

152312424786064 is an frugal number, since it uses more digits than its factorization.

152312424786064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150596 (or 75296 counting only the distinct ones).

The product of its (nonzero) digits is 15482880, while the sum is 55.

The spelling of 152312424786064 in words is "one hundred fifty-two trillion, three hundred twelve billion, four hundred twenty-four million, seven hundred eighty-six thousand, sixty-four".

Divisors: 1 2 4 8 16 41 82 164 328 656 1681 3362 6724 13448 26896 75253 150506 301012 602024 1204048 3085373 6170746 12341492 24682984 49365968 126500293 253000586 506001172 1012002344 2024004688 5663014009 11326028018 22652056036 45304112072 90608224144 232183574369 464367148738 928734297476 1857468594952 3714937189904 9519526549129 19039053098258 38078106196516 76156212393032 152312424786064