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120610336016 = 24172915290357
BaseRepresentation
bin111000001010011101…
…1111010110100010000
3102112022112121220010002
41300110323322310100
53434002221223031
6131224014025132
711466556640462
oct1602473726420
9375275556102
10120610336016
1147172432655
121b4601a81a8
13b4b1791741
145ba2420132
15320d865ccb
hex1c14efad10

120610336016 has 40 divisors (see below), whose sum is σ = 255960592920. Its totient is φ = 54800635904.

The previous prime is 120610336013. The next prime is 120610336079. The reversal of 120610336016 is 610633016021.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 35344000000 + 85266336016 = 188000^2 + 292004^2 .

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a self number, because there is not a number n which added to its sum of digits gives 120610336016.

It is not an unprimeable number, because it can be changed into a prime (120610336013) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7637291 + ... + 7653066.

It is an arithmetic number, because the mean of its divisors is an integer number (6399014823).

Almost surely, 2120610336016 is an apocalyptic number.

120610336016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

120610336016 is an abundant number, since it is smaller than the sum of its proper divisors (135350256904).

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

120610336016 is a wasteful number, since it uses less digits than its factorization.

120610336016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15290411 (or 15290405 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 29.

The spelling of 120610336016 in words is "one hundred twenty billion, six hundred ten million, three hundred thirty-six thousand, sixteen".

Divisors: 1 2 4 8 16 17 29 34 58 68 116 136 232 272 464 493 986 1972 3944 7888 15290357 30580714 61161428 122322856 244645712 259936069 443420353 519872138 886840706 1039744276 1773681412 2079488552 3547362824 4158977104 7094725648 7538146001 15076292002 30152584004 60305168008 120610336016