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46068236107488 = 25347113105121379
BaseRepresentation
bin10100111100110000110001…
…10110010011111011100000
320001010002011120201222110000
422132120120312103323200
522014240221420414423
6241551242215540000
712463214556643620
oct1236303066237340
9201102146658400
1046068236107488
111375147a316a91
1252003bb08a600
131c922a67b4a0a
14b53a00926880
1554d5194e0843
hex29e618d93ee0

46068236107488 has 480 divisors, whose sum is σ = 156366674069760. Its totient is φ = 13032849715200.

The previous prime is 46068236107477. The next prime is 46068236107513. The reversal of 46068236107488 is 88470163286064.

46068236107488 is a `hidden beast` number, since 4 + 6 + 0 + 6 + 8 + 2 + 3 + 610 + 7 + 4 + 8 + 8 = 666.

46068236107488 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×460682361074882 (a number of 28 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2154825183 + ... + 2154846561.

It is an arithmetic number, because the mean of its divisors is an integer number (325763904312).

Almost surely, 246068236107488 is an apocalyptic number.

46068236107488 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 46068236107488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78183337034880).

46068236107488 is an abundant number, since it is smaller than the sum of its proper divisors (110298437962272).

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

46068236107488 is a wasteful number, since it uses less digits than its factorization.

46068236107488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22572 (or 22555 counting only the distinct ones).

The product of its (nonzero) digits is 74317824, while the sum is 63.

The spelling of 46068236107488 in words is "forty-six trillion, sixty-eight billion, two hundred thirty-six million, one hundred seven thousand, four hundred eighty-eight".