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55140819120 = 2433525528157
BaseRepresentation
bin110011010110101001…
…100010000010110000
312021022212011211201000
4303112221202002300
51400412022202440
641155323042000
73661304141412
oct632651420260
9167285154630
1055140819120
11214266115a2
12a82a670300
135279b3472a
1429513aa9b2
15167ad65730
hexcd6a620b0

55140819120 has 80 divisors (see below), whose sum is σ = 189929495520. Its totient is φ = 14704217856.

The previous prime is 55140819103. The next prime is 55140819121. The reversal of 55140819120 is 2191804155.

55140819120 is a `hidden beast` number, since 5 + 514 + 0 + 8 + 19 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (55140819121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12761919 + ... + 12766238.

It is an arithmetic number, because the mean of its divisors is an integer number (2374118694).

Almost surely, 255140819120 is an apocalyptic number.

It is an amenable number.

55140819120 is an abundant number, since it is smaller than the sum of its proper divisors (134788676400).

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

55140819120 is a wasteful number, since it uses less digits than its factorization.

55140819120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25528179 (or 25528167 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 36.

The spelling of 55140819120 in words is "fifty-five billion, one hundred forty million, eight hundred nineteen thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 1080 2160 25528157 51056314 76584471 102112628 127640785 153168942 204225256 229753413 255281570 306337884 382922355 408450512 459506826 510563140 612675768 689260239 765844710 919013652 1021126280 1148767065 1225351536 1378520478 1531689420 1838027304 2042252560 2297534130 2757040956 3063378840 3446301195 3676054608 4595068260 5514081912 6126757680 6892602390 9190136520 11028163824 13785204780 18380273040 27570409560 55140819120