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556801997130 = 23451936179467
BaseRepresentation
bin10000001101000111111…
…11000011100101001010
31222020012111012010210000
420012203333003211022
533110312302402010
61103442531103430
755141033612461
oct10064377034512
91866174163700
10556801997130
111a5158236685
128bab3a41b76
1340677188472
141cd4108b9d8
15e73c72e7c0
hex81a3fc394a

556801997130 has 80 divisors (see below), whose sum is σ = 1575977626080. Its totient is φ = 140665763808.

The previous prime is 556801997119. The next prime is 556801997131. The reversal of 556801997130 is 31799108655.

556801997130 is a `hidden beast` number, since 5 + 568 + 0 + 1 + 9 + 9 + 71 + 3 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (556801997131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 18074344 + ... + 18105123.

It is an arithmetic number, because the mean of its divisors is an integer number (19699720326).

Almost surely, 2556801997130 is an apocalyptic number.

556801997130 is an abundant number, since it is smaller than the sum of its proper divisors (1019175628950).

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

556801997130 is a wasteful number, since it uses less digits than its factorization.

556801997130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36179505 (or 36179496 counting only the distinct ones).

The product of its (nonzero) digits is 2041200, while the sum is 54.

The spelling of 556801997130 in words is "five hundred fifty-six billion, eight hundred one million, nine hundred ninety-seven thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 19 27 30 38 45 54 57 81 90 95 114 135 162 171 190 270 285 342 405 513 570 810 855 1026 1539 1710 2565 3078 5130 7695 15390 36179467 72358934 108538401 180897335 217076802 325615203 361794670 542692005 651230406 687409873 976845609 1085384010 1374819746 1628076015 1953691218 2062229619 2930536827 3256152030 3437049365 4124459238 4884228045 5861073654 6186688857 6874098730 9768456090 10311148095 12373377714 14652684135 18560066571 20622296190 29305368270 30933444285 37120133142 55680199713 61866888570 92800332855 111360399426 185600665710 278400998565 556801997130