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51106001004 = 2234810119471
BaseRepresentation
bin101111100110001001…
…111011000001101100
311212220122221211210000
4233212021323001230
51314131114013004
635251110544300
73456311561322
oct574611730154
9155818854700
1051106001004
111a746006a73
129aa3368090
134a85c41ca6
14268b591d12
1514e1a13c39
hexbe627b06c

51106001004 has 60 divisors (see below), whose sum is σ = 133624535968. Its totient is φ = 17032356000.

The previous prime is 51106001003. The next prime is 51106001029. The reversal of 51106001004 is 40010060115.

51106001004 is a `hidden beast` number, since 51 + 1 + 0 + 600 + 10 + 0 + 4 = 666.

It is a super-2 number, since 2×511060010042 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (51106001003) 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 19 ways as a sum of consecutive naturals, for example, 2614989 + ... + 2634459.

Almost surely, 251106001004 is an apocalyptic number.

51106001004 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

51106001004 is an abundant number, since it is smaller than the sum of its proper divisors (82518534964).

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

51106001004 is a wasteful number, since it uses less digits than its factorization.

51106001004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27588 (or 27577 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

Adding to 51106001004 its reverse (40010060115), we get a palindrome (91116061119).

The spelling of 51106001004 in words is "fifty-one billion, one hundred six million, one thousand, four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 8101 16202 19471 24303 32404 38942 48606 58413 72909 77884 97212 116826 145818 175239 218727 233652 291636 350478 437454 525717 656181 700956 874908 1051434 1312362 1577151 2102868 2624724 3154302 6308604 157734571 315469142 473203713 630938284 946407426 1419611139 1892814852 2839222278 4258833417 5678444556 8517666834 12776500251 17035333668 25553000502 51106001004