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34130061160 = 2351365634733
BaseRepresentation
bin11111110010010011…
…110110011101101000
310021002120201202012021
4133302103312131220
51024344243424120
623402405354224
72315526506326
oct376223663550
9107076652167
1034130061160
1113524591118
126746108974
1332abc24080
14191ab76d16
15d4b4e0aaa
hex7f24f6768

34130061160 has 32 divisors (see below), whose sum is σ = 82699764840. Its totient is φ = 12601868544.

The previous prime is 34130061149. The next prime is 34130061191. The reversal of 34130061160 is 6116003143.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 8995763716 + 25134297444 = 94846^2 + 158538^2 .

It is a super-2 number, since 2×341300611602 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32816847 + ... + 32817886.

Almost surely, 234130061160 is an apocalyptic number.

It is an amenable number.

34130061160 is an abundant number, since it is smaller than the sum of its proper divisors (48569703680).

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

34130061160 is a wasteful number, since it uses less digits than its factorization.

34130061160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65634757 (or 65634753 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 25.

The spelling of 34130061160 in words is "thirty-four billion, one hundred thirty million, sixty-one thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 65634733 131269466 262538932 328173665 525077864 656347330 853251529 1312694660 1706503058 2625389320 3413006116 4266257645 6826012232 8532515290 17065030580 34130061160