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46114033632 = 25323313971697
BaseRepresentation
bin101010111100100111…
…000100111111100000
311102000202200121220120
4222330213010333200
51223420143034012
633103503440240
73221514550512
oct527447047740
9142022617816
1046114033632
1118614195aa7
128b2b5b6080
13446b966644
1423365c1bb2
1512ed64758c
hexabc9c4fe0

46114033632 has 192 divisors, whose sum is σ = 130792402944. Its totient is φ = 14184529920.

The previous prime is 46114033631. The next prime is 46114033703. The reversal of 46114033632 is 23633041164.

It is a super-2 number, since 2×461140336322 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 46114033593 and 46114033602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46114033631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27173008 + ... + 27174704.

It is an arithmetic number, because the mean of its divisors is an integer number (681210432).

Almost surely, 246114033632 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 46114033632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65396201472).

46114033632 is an abundant number, since it is smaller than the sum of its proper divisors (84678369312).

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

46114033632 is a wasteful number, since it uses less digits than its factorization.

46114033632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2161 (or 2153 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 33.

Adding to 46114033632 its reverse (23633041164), we get a palindrome (69747074796).

The spelling of 46114033632 in words is "forty-six billion, one hundred fourteen million, thirty-three thousand, six hundred thirty-two".