Search a number
-
+
46265361391368 = 23347127593135433
BaseRepresentation
bin10101000010011111111100…
…11011100101111100001000
320001210220222120201221210000
422201033332123211330020
522031002430004010433
6242222002534523000
712513363533134230
oct1241177633457410
9201726876657700
1046265361391368
1113818036408439
125232653b06460
131ca7a60376622
14b5d380cd4cc0
155537053bc113
hex2a13fe6e5f08

46265361391368 has 320 divisors, whose sum is σ = 149517055733760. Its totient is φ = 13092378292224.

The previous prime is 46265361391321. The next prime is 46265361391391. The reversal of 46265361391368 is 86319316356264.

46265361391368 is a `hidden beast` number, since 4 + 6 + 2 + 6 + 5 + 3 + 613 + 9 + 1 + 3 + 6 + 8 = 666.

It is a super-2 number, since 2×462653613913682 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 341542980 + ... + 341678412.

It is an arithmetic number, because the mean of its divisors is an integer number (467240799168).

Almost surely, 246265361391368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46265361391368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74758527866880).

46265361391368 is an abundant number, since it is smaller than the sum of its proper divisors (103251694342392).

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

46265361391368 is a wasteful number, since it uses less digits than its factorization.

46265361391368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136178 (or 136165 counting only the distinct ones).

The product of its digits is 100776960, while the sum is 63.

The spelling of 46265361391368 in words is "forty-six trillion, two hundred sixty-five billion, three hundred sixty-one million, three hundred ninety-one thousand, three hundred sixty-eight".