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120590983488 = 26317359102913
BaseRepresentation
bin111000001001111001…
…0000110000101000000
3102112021012012200102210
41300103302012011000
53433432242432423
6131222043142120
711466233306223
oct1602362060500
9375235180383
10120590983488
1147162514828
121b455814940
13b4aa776c41
145b9da235ba
15320bce1b93
hex1c13c86140

120590983488 has 112 divisors (see below), whose sum is σ = 338776421760. Its totient is φ = 37726715904.

The previous prime is 120590983439. The next prime is 120590983489. The reversal of 120590983488 is 884389095021.

It is a happy number.

120590983488 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1205909834882 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120590983489) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1120320 + ... + 1223232.

It is an arithmetic number, because the mean of its divisors is an integer number (3024789480).

Almost surely, 2120590983488 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120590983488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169388210880).

120590983488 is an abundant number, since it is smaller than the sum of its proper divisors (218185438272).

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

120590983488 is a wasteful number, since it uses less digits than its factorization.

120590983488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103304 (or 103294 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 57.

The spelling of 120590983488 in words is "one hundred twenty billion, five hundred ninety million, nine hundred eighty-three thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 136 192 204 272 359 408 544 718 816 1077 1088 1436 1632 2154 2872 3264 4308 5744 6103 8616 11488 12206 17232 18309 22976 24412 34464 36618 48824 68928 73236 97648 102913 146472 195296 205826 292944 308739 390592 411652 585888 617478 823304 1171776 1234956 1646608 1749521 2469912 3293216 3499042 4939824 5248563 6586432 6998084 9879648 10497126 13996168 19759296 20994252 27992336 36945767 41988504 55984672 73891534 83977008 110837301 111969344 147783068 167954016 221674602 295566136 335908032 443349204 591132272 628078039 886698408 1182264544 1256156078 1773396816 1884234117 2364529088 2512312156 3546793632 3768468234 5024624312 7093587264 7536936468 10049248624 15073872936 20098497248 30147745872 40196994496 60295491744 120590983488