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38620199040 = 273520114687
BaseRepresentation
bin100011111101111100…
…010111100010000000
310200200111201101102020
4203331330113202000
51113043232332130
625424124521440
72535021163323
oct437574274200
9120614641366
1038620199040
1115419106175
1275999b0280
1338462569a7
141c252367ba
1510107d1e10
hex8fdf17880

38620199040 has 64 divisors (see below), whose sum is σ = 123101890560. Its totient is φ = 10298719232.

The previous prime is 38620199003. The next prime is 38620199071. The reversal of 38620199040 is 4099102683.

38620199040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 38620198983 and 38620199001.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10055424 + ... + 10059263.

It is an arithmetic number, because the mean of its divisors is an integer number (1923467040).

Almost surely, 238620199040 is an apocalyptic number.

38620199040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

38620199040 is an abundant number, since it is smaller than the sum of its proper divisors (84481691520).

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

38620199040 is a wasteful number, since it uses less digits than its factorization.

38620199040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20114709 (or 20114697 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 42.

The spelling of 38620199040 in words is "thirty-eight billion, six hundred twenty million, one hundred ninety-nine thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 960 1920 20114687 40229374 60344061 80458748 100573435 120688122 160917496 201146870 241376244 301720305 321834992 402293740 482752488 603440610 643669984 804587480 965504976 1206881220 1287339968 1609174960 1931009952 2413762440 2574679936 3218349920 3862019904 4827524880 6436699840 7724039808 9655049760 12873399680 19310099520 38620199040