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120152167060 = 22541538273343
BaseRepresentation
bin110111111100110100…
…0001001001010010100
3102111010121111111110111
41233321220021022110
53432032423321220
6131110325532404
711452324366102
oct1577150111224
9374117444414
10120152167060
1146a57847522
121b352874104
13b43a894753
145b5b636c72
1531d351215a
hex1bf9a09294

120152167060 has 96 divisors (see below), whose sum is σ = 263747860992. Its totient is φ = 45934586880.

The previous prime is 120152167021. The next prime is 120152167063. The reversal of 120152167060 is 60761251021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120152167063) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35939749 + ... + 35943091.

It is an arithmetic number, because the mean of its divisors is an integer number (2747373552).

Almost surely, 2120152167060 is an apocalyptic number.

120152167060 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120152167060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131873930496).

120152167060 is an abundant number, since it is smaller than the sum of its proper divisors (143595693932).

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

120152167060 is a wasteful number, since it uses less digits than its factorization.

120152167060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4273 (or 4271 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 31.

The spelling of 120152167060 in words is "one hundred twenty billion, one hundred fifty-two million, one hundred sixty-seven thousand, sixty".

Divisors: 1 2 4 5 10 20 41 53 82 106 164 205 212 265 410 530 820 827 1060 1654 2173 3308 3343 4135 4346 6686 8270 8692 10865 13372 16540 16715 21730 33430 33907 43460 43831 66860 67814 87662 135628 137063 169535 175324 177179 219155 274126 339070 354358 438310 548252 678140 685315 708716 876620 885895 1370630 1771790 1797071 2741260 2764661 3543580 3594142 5529322 7188284 7264339 8985355 11058644 13823305 14528678 17970710 27646610 29057356 35941420 36321695 55293220 72643390 113351101 145286780 146527033 226702202 293054066 453404404 566755505 586108132 732635165 1133511010 1465270330 2267022020 2930540660 6007608353 12015216706 24030433412 30038041765 60076083530 120152167060