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214879378920 = 23355093517999
BaseRepresentation
bin1100100000011111001…
…1110001110111101000
3202112122022110110011120
43020013303301313220
512010033110111140
6242414134455240
721344624404323
oct3100763616750
9675568413146
10214879378920
1183147897878
123578a804520
1317355b846bb
14a5862a77ba
1558c98ae1d0
hex3207cf1de8

214879378920 has 64 divisors (see below), whose sum is σ = 645904800000. Its totient is φ = 57188575488.

The previous prime is 214879378919. The next prime is 214879378951. The reversal of 214879378920 is 29873978412.

It is a Harshad number since it is a multiple of its sum of digits (60).

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, 1697920 + ... + 1820079.

It is an arithmetic number, because the mean of its divisors is an integer number (10092262500).

Almost surely, 2214879378920 is an apocalyptic number.

214879378920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214879378920 is an abundant number, since it is smaller than the sum of its proper divisors (431025421080).

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

214879378920 is a wasteful number, since it uses less digits than its factorization.

214879378920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3518522 (or 3518518 counting only the distinct ones).

The product of its (nonzero) digits is 12192768, while the sum is 60.

The spelling of 214879378920 in words is "two hundred fourteen billion, eight hundred seventy-nine million, three hundred seventy-eight thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 509 1018 1527 2036 2545 3054 4072 5090 6108 7635 10180 12216 15270 20360 30540 61080 3517999 7035998 10553997 14071996 17589995 21107994 28143992 35179990 42215988 52769985 70359980 84431976 105539970 140719960 211079940 422159880 1790661491 3581322982 5371984473 7162645964 8953307455 10743968946 14325291928 17906614910 21487937892 26859922365 35813229820 42975875784 53719844730 71626459640 107439689460 214879378920