Search a number
-
+
46116276093 = 32291011749413
BaseRepresentation
bin101010111100101111…
…101000011101111101
311102000220220112222200
4222330233220131331
51223421231313333
633104023502113
73221542610346
oct527457503575
9142026815880
1046116276093
1118615487878
128b302b7939
13446c270244
142336a070cd
1512ed93bc13
hexabcbe877d

46116276093 has 24 divisors (see below), whose sum is σ = 69591688920. Its totient is φ = 29390121600.

The previous prime is 46116276083. The next prime is 46116276103. The reversal of 46116276093 is 39067261164.

46116276093 is a `hidden beast` number, since 4 + 6 + 1 + 16 + 27 + 609 + 3 = 666.

It is an interprime number because it is at equal distance from previous prime (46116276083) and next prime (46116276103).

It can be written as a sum of positive squares in 4 ways, for example, as 18604414404 + 27511861689 = 136398^2 + 165867^2 .

It is not a de Polignac number, because 46116276093 - 218 = 46116013949 is a prime.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46116276083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 848346 + ... + 901067.

It is an arithmetic number, because the mean of its divisors is an integer number (2899653705).

Almost surely, 246116276093 is an apocalyptic number.

It is an amenable number.

46116276093 is a deficient number, since it is larger than the sum of its proper divisors (23475412827).

46116276093 is a wasteful number, since it uses less digits than its factorization.

46116276093 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1749549 (or 1749546 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 46116276093 in words is "forty-six billion, one hundred sixteen million, two hundred seventy-six thousand, ninety-three".

Divisors: 1 3 9 29 87 101 261 303 909 2929 8787 26361 1749413 5248239 15744717 50732977 152198931 176690713 456596793 530072139 1590216417 5124030677 15372092031 46116276093