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120946914980 = 22537376143457
BaseRepresentation
bin111000010100011111…
…1110111011010100100
3102120011222221212122122
41300220333313122210
53440144402234410
6131321240045112
711511114546323
oct1605077673244
9376158855578
10120946914980
1147325420391
121b534a63798
13b536428ba8
145bd4dd60ba
15322d19ce55
hex1c28ff76a4

120946914980 has 48 divisors (see below), whose sum is σ = 260928437616. Its totient is φ = 47057633280.

The previous prime is 120946914973. The next prime is 120946915003. The reversal of 120946914980 is 89419649021.

It can be written as a sum of positive squares in 8 ways, for example, as 3648884836 + 117298030144 = 60406^2 + 342488^2 .

It is a super-3 number, since 3×1209469149803 (a number of 34 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2761412 + ... + 2804868.

It is an arithmetic number, because the mean of its divisors is an integer number (5436009117).

Almost surely, 2120946914980 is an apocalyptic number.

120946914980 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120946914980 is an abundant number, since it is smaller than the sum of its proper divisors (139981522636).

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

120946914980 is a wasteful number, since it uses less digits than its factorization.

120946914980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47264 (or 47262 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 53.

The spelling of 120946914980 in words is "one hundred twenty billion, nine hundred forty-six million, nine hundred fourteen thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 20 37 74 148 185 370 740 3761 7522 15044 18805 37610 43457 75220 86914 139157 173828 217285 278314 434570 556628 695785 869140 1391570 1607909 2783140 3215818 6431636 8039545 16079090 32158180 163441777 326883554 653767108 817208885 1634417770 3268835540 6047345749 12094691498 24189382996 30236728745 60473457490 120946914980