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34122960555680 = 255213268503473
BaseRepresentation
bin1111100001000110111101…
…11100010100111010100000
311110211010022210100212211002
413300203132330110322200
513433032310400240210
6200323512140411132
710121205526025363
oct760433674247240
9143733283325732
1034122960555680
11a966514717077
1239b1312546aa8
131606a208a5929
1485d7baccc0da
153e293aadb4a5
hex1f08def14ea0

34122960555680 has 24 divisors (see below), whose sum is σ = 80615494313172. Its totient is φ = 13649184222208.

The previous prime is 34122960555667. The next prime is 34122960555701. The reversal of 34122960555680 is 8655506922143.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 31051508022544 + 3071452533136 = 5572388^2 + 1752556^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 106634251577 + ... + 106634251896.

Almost surely, 234122960555680 is an apocalyptic number.

It is an amenable number.

34122960555680 is an abundant number, since it is smaller than the sum of its proper divisors (46492533757492).

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

34122960555680 is a wasteful number, since it uses less digits than its factorization.

34122960555680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213268503488 (or 213268503480 counting only the distinct ones).

The product of its (nonzero) digits is 15552000, while the sum is 56.

The spelling of 34122960555680 in words is "thirty-four trillion, one hundred twenty-two billion, nine hundred sixty million, five hundred fifty-five thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 213268503473 426537006946 853074013892 1066342517365 1706148027784 2132685034730 3412296055568 4265370069460 6824592111136 8530740138920 17061480277840 34122960555680