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128948166120 = 23352081516371
BaseRepresentation
bin111100000010111101…
…0001101110111101000
3110022211121201112210110
41320011322031313220
54103041212303440
6135123222414320
712213312220164
oct1700572156750
9408747645713
10128948166120
114a760972834
1220ba85913a0
13c20ccb9617
146353907ca4
15354a844080
hex1e05e8dde8

128948166120 has 64 divisors (see below), whose sum is σ = 387031141440. Its totient is φ = 34369587200.

The previous prime is 128948166103. The next prime is 128948166173. The reversal of 128948166120 is 21661849821.

It is a super-2 number, since 2×1289481661202 (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 128948166120.

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, 8466 + ... + 507905.

It is an arithmetic number, because the mean of its divisors is an integer number (6047361585).

Almost surely, 2128948166120 is an apocalyptic number.

128948166120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

128948166120 is an abundant number, since it is smaller than the sum of its proper divisors (258082975320).

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

128948166120 is a wasteful number, since it uses less digits than its factorization.

128948166120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 518466 (or 518462 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 48.

The spelling of 128948166120 in words is "one hundred twenty-eight billion, nine hundred forty-eight million, one hundred sixty-six thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 2081 4162 6243 8324 10405 12486 16648 20810 24972 31215 41620 49944 62430 83240 124860 249720 516371 1032742 1549113 2065484 2581855 3098226 4130968 5163710 6196452 7745565 10327420 12392904 15491130 20654840 30982260 61964520 1074568051 2149136102 3223704153 4298272204 5372840255 6447408306 8596544408 10745680510 12894816612 16118520765 21491361020 25789633224 32237041530 42982722040 64474083060 128948166120