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120892306932 = 22324181905357
BaseRepresentation
bin111000010010110111…
…1100011010111110100
3102120001012012111111100
41300211233203113310
53440041412310212
6131312005410100
711506552440225
oct1604557432764
9376035174440
10120892306932
11472a7612571
121b51a709930
13b528019237
145bcba5d24c
1532284b2bdc
hex1c25be35f4

120892306932 has 36 divisors (see below), whose sum is σ = 313042278276. Its totient is φ = 39314570880.

The previous prime is 120892306883. The next prime is 120892306949. The reversal of 120892306932 is 239603298021.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 12885428196 + 108006878736 = 113514^2 + 328644^2 .

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

It is a super-2 number, since 2×1208923069322 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

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, 40951203 + ... + 40954154.

It is an arithmetic number, because the mean of its divisors is an integer number (8695618841).

Almost surely, 2120892306932 is an apocalyptic number.

120892306932 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

120892306932 is an abundant number, since it is smaller than the sum of its proper divisors (192149971344).

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

120892306932 is a wasteful number, since it uses less digits than its factorization.

120892306932 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81905408 (or 81905403 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 120892306932 in words is "one hundred twenty billion, eight hundred ninety-two million, three hundred six thousand, nine hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 41 82 123 164 246 369 492 738 1476 81905357 163810714 245716071 327621428 491432142 737148213 982864284 1474296426 2948592852 3358119637 6716239274 10074358911 13432478548 20148717822 30223076733 40297435644 60446153466 120892306932