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120292399738116 = 22323790309609413
BaseRepresentation
bin11011010110011111000001…
…110000010110110100000100
3120202220211201011110202101200
4123112133001300112310010
5111231332313313104431
61103501322054022500
734223560543020564
oct3326370160266404
9522824634422350
10120292399738116
11353687a16aa241
12115a9581347a30
1352176a87947a8
14219c27ca40da4
15dd9134979ee6
hex6d67c1c16d04

120292399738116 has 36 divisors (see below), whose sum is σ = 312290629353612. Its totient is φ = 39013751265984.

The previous prime is 120292399738067. The next prime is 120292399738139. The reversal of 120292399738116 is 611837993292021.

120292399738116 is a `hidden beast` number, since 1 + 2 + 0 + 2 + 9 + 239 + 9 + 7 + 381 + 16 = 666.

120292399738116 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 45167190187716 + 75125209550400 = 6720654^2 + 8667480^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×1202923997381162 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 45154803375 + ... + 45154806038.

It is an arithmetic number, because the mean of its divisors is an integer number (8674739704267).

Almost surely, 2120292399738116 is an apocalyptic number.

It is an amenable number.

120292399738116 is an abundant number, since it is smaller than the sum of its proper divisors (191998229615496).

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

120292399738116 is a wasteful number, since it uses less digits than its factorization.

120292399738116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90309609460 (or 90309609455 counting only the distinct ones).

The product of its (nonzero) digits is 17635968, while the sum is 63.

The spelling of 120292399738116 in words is "one hundred twenty trillion, two hundred ninety-two billion, three hundred ninety-nine million, seven hundred thirty-eight thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 444 666 1332 90309609413 180619218826 270928828239 361238437652 541857656478 812786484717 1083715312956 1625572969434 3251145938868 3341455548281 6682911096562 10024366644843 13365822193124 20048733289686 30073099934529 40097466579372 60146199869058 120292399738116