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46157275164 = 2237114132887
BaseRepresentation
bin101010111111001100…
…000010000000011100
311102010210001112010210
4222333030002000130
51224012230301124
633112050332420
73222551236230
oct527714020034
9142123045123
1046157275164
1118636640000
128b41b8a110
1344778c6750
14233c23a5c0
151302339a29
hexabf30201c

46157275164 has 240 divisors, whose sum is σ = 145859248640. Its totient is φ = 11062846080.

The previous prime is 46157275163. The next prime is 46157275181.

46157275164 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×461572751642 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46157275163) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 15986529 + ... + 15989415.

Almost surely, 246157275164 is an apocalyptic number.

46157275164 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46157275164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72929624320).

46157275164 is an abundant number, since it is smaller than the sum of its proper divisors (99701973476).

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

46157275164 is a wasteful number, since it uses less digits than its factorization.

46157275164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2958 (or 2923 counting only the distinct ones).

The product of its digits is 1411200, while the sum is 48.

The spelling of 46157275164 in words is "forty-six billion, one hundred fifty-seven million, two hundred seventy-five thousand, one hundred sixty-four".