Search a number
-
+
46217195136 = 273472293137
BaseRepresentation
bin101011000010110000…
…100110111010000000
311102021221210202220000
4223002300212322000
51224123100221021
633122030520000
73224206451100
oct530260467200
9142257722800
1046217195136
1118667446842
128b5a066000
134487146158
142346197200
151307723b26
hexac2c26e80

46217195136 has 480 divisors, whose sum is σ = 165567312900. Its totient is φ = 12745506816.

The previous prime is 46217195117. The next prime is 46217195207. The reversal of 46217195136 is 63159171264.

46217195136 is a `hidden beast` number, since 4 + 62 + 1 + 71 + 9 + 513 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 39632846400 + 6584348736 = 199080^2 + 81144^2 .

It is a junction number, because it is equal to n+sod(n) for n = 46217195091 and 46217195100.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 14731360 + ... + 14734496.

Almost surely, 246217195136 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 46217195136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82783656450).

46217195136 is an abundant number, since it is smaller than the sum of its proper divisors (119350117764).

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

46217195136 is a wasteful number, since it uses less digits than its factorization.

46217195136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3206 (or 3178 counting only the distinct ones).

The product of its digits is 272160, while the sum is 45.

The spelling of 46217195136 in words is "forty-six billion, two hundred seventeen million, one hundred ninety-five thousand, one hundred thirty-six".