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46893752091 = 344128195009
BaseRepresentation
bin101011101011000101…
…011101111100011011
311111001002212102120000
4223223011131330123
51232014300031331
633313115504043
73250033213254
oct535305357433
9144032772500
1046893752091
111898433401a
129108758023
134564367c04
1423abd8bb2b
151346d150e6
hexaeb15df1b

46893752091 has 40 divisors (see below), whose sum is σ = 71799512400. Its totient is φ = 30483095040.

The previous prime is 46893752089. The next prime is 46893752107. The reversal of 46893752091 is 19025739864.

46893752091 is a `hidden beast` number, since 4 + 6 + 89 + 37 + 520 + 9 + 1 = 666.

It is not a de Polignac number, because 46893752091 - 21 = 46893752089 is a prime.

It is not an unprimeable number, because it can be changed into a prime (46893752891) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 9359395 + ... + 9364403.

It is an arithmetic number, because the mean of its divisors is an integer number (1794987810).

It is a 1-persistent number, because it is pandigital, but 2⋅46893752091 = 93787504182 is not.

Almost surely, 246893752091 is an apocalyptic number.

46893752091 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

46893752091 is a deficient number, since it is larger than the sum of its proper divisors (24905760309).

46893752091 is a wasteful number, since it uses less digits than its factorization.

46893752091 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7881 (or 7872 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 46893752091 in words is "forty-six billion, eight hundred ninety-three million, seven hundred fifty-two thousand, ninety-one".

Divisors: 1 3 9 27 41 81 123 369 1107 2819 3321 5009 8457 15027 25371 45081 76113 115579 135243 205369 228339 346737 405729 616107 1040211 1848321 3120633 5544963 9361899 14120371 16634889 42361113 127083339 381250017 578935211 1143750051 1736805633 5210416899 15631250697 46893752091