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46039891968 = 216357259
BaseRepresentation
bin101010111000001100…
…010000000000000000
311101211121011211200000
4222320030100000000
51223242203020333
633052254400000
73216624424200
oct527014200000
9141747154600
1046039891968
11185863562a4
128b0a800000
1344594a7935
14232a802400
1512e6d9e713
hexab8310000

46039891968 has 612 divisors, whose sum is σ = 163167666480. Its totient is φ = 12931301376.

The previous prime is 46039891921. The next prime is 46039891981. The reversal of 46039891968 is 86919893064.

It is a happy number.

46039891968 is a `hidden beast` number, since 4 + 603 + 9 + 8 + 9 + 19 + 6 + 8 = 666.

It is a super-2 number, since 2×460398919682 (a number of 22 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 35 ways as a sum of consecutive naturals, for example, 780337123 + ... + 780337181.

Almost surely, 246039891968 is an apocalyptic number.

46039891968 is a gapful number since it is divisible by the number (48) 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 46039891968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81583833240).

46039891968 is an abundant number, since it is smaller than the sum of its proper divisors (117127774512).

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

46039891968 is an frugal number, since it uses more digits than its factorization.

46039891968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 20155392, while the sum is 63.

The spelling of 46039891968 in words is "forty-six billion, thirty-nine million, eight hundred ninety-one thousand, nine hundred sixty-eight".