Search a number
-
+
46139940567 = 32717147129287
BaseRepresentation
bin101010111110001001…
…111001111011010111
311102002120102211112200
4222332021321323113
51223443311044232
633110231015543
73222251011110
oct527611717327
9142076384480
1046139940567
1118627880296
128b3820a5b3
1344741375a6
142339c07207
151300a6377c
hexabe279ed7

46139940567 has 48 divisors (see below), whose sum is σ = 80705544192. Its totient is φ = 24797041920.

The previous prime is 46139940547. The next prime is 46139940589. The reversal of 46139940567 is 76504993164.

46139940567 is a `hidden beast` number, since 4 + 6 + 1 + 39 + 9 + 40 + 567 = 666.

It is not a de Polignac number, because 46139940567 - 27 = 46139940439 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46139940527) 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 47 ways as a sum of consecutive naturals, for example, 1560798 + ... + 1590084.

It is an arithmetic number, because the mean of its divisors is an integer number (1681365504).

Almost surely, 246139940567 is an apocalyptic number.

46139940567 is a deficient number, since it is larger than the sum of its proper divisors (34565603625).

46139940567 is a wasteful number, since it uses less digits than its factorization.

46139940567 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30788 (or 30785 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 46139940567 in words is "forty-six billion, one hundred thirty-nine million, nine hundred forty thousand, five hundred sixty-seven".

Divisors: 1 3 7 9 17 21 51 63 119 153 357 1071 1471 4413 10297 13239 25007 29287 30891 75021 87861 92673 175049 205009 225063 263583 497879 525147 615027 1493637 1575441 1845081 3485153 4480911 10455459 31366377 43081177 129243531 301568239 387730593 732380009 904704717 2197140027 2714114151 5126660063 6591420081 15379980189 46139940567