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46909091151 = 321317163714407
BaseRepresentation
bin101011101011111111…
…111110110101001111
311111002011201201210100
4223223333332311033
51232032211404101
633314424342143
73250310460456
oct535377766517
9144064651710
1046909091151
1118991a6052a
129111914953
1345675a8990
1423b0021b9d
151348344e86
hexaebffed4f

46909091151 has 48 divisors (see below), whose sum is σ = 77314595904. Its totient is φ = 27150584832.

The previous prime is 46909091149. The next prime is 46909091153. The reversal of 46909091151 is 15119090964.

46909091151 is a `hidden beast` number, since 469 + 0 + 90 + 91 + 15 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (46909091149) and next prime (46909091153).

It is not a de Polignac number, because 46909091151 - 21 = 46909091149 is a prime.

It is a super-2 number, since 2×469090911512 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 46909091097 and 46909091106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46909091153) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3248790 + ... + 3263196.

It is an arithmetic number, because the mean of its divisors is an integer number (1610720748).

Almost surely, 246909091151 is an apocalyptic number.

46909091151 is a deficient number, since it is larger than the sum of its proper divisors (30405504753).

46909091151 is a wasteful number, since it uses less digits than its factorization.

46909091151 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16080 (or 16077 counting only the distinct ones).

The product of its (nonzero) digits is 87480, while the sum is 45.

The spelling of 46909091151 in words is "forty-six billion, nine hundred nine million, ninety-one thousand, one hundred fifty-one".

Divisors: 1 3 9 13 17 39 51 117 153 221 663 1637 1989 4911 14407 14733 21281 27829 43221 63843 83487 129663 187291 191529 244919 250461 361777 561873 734757 1085331 1685619 2204271 3183947 3255993 9551841 23584259 28655523 70752777 212258331 306595367 400932403 919786101 1202797209 2759358303 3608391627 5212121239 15636363717 46909091151