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46623922942680 = 23335315333261127
BaseRepresentation
bin10101001100111011110100…
…10111010111001011011000
320010002012111100120000122000
422212131322113113023120
522102341243233131210
6243054422353201000
712551316163054416
oct1246357227271330
9203065440500560
1046623922942680
1113946105021a26
125290041560160
132002803911235
14b7287784a2b6
1555cbddd91ac0
hex2a677a5d72d8

46623922942680 has 256 divisors, whose sum is σ = 160457097830400. Its totient is φ = 12029677908480.

The previous prime is 46623922942669. The next prime is 46623922942697. The reversal of 46623922942680 is 8624922932664.

It is a happy number.

46623922942680 is a `hidden beast` number, since 4 + 6 + 6 + 23 + 92 + 29 + 426 + 80 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 178418277 + ... + 178679403.

It is an arithmetic number, because the mean of its divisors is an integer number (626785538400).

Almost surely, 246623922942680 is an apocalyptic number.

46623922942680 is a gapful number since it is divisible by the number (40) 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 46623922942680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80228548915200).

46623922942680 is an abundant number, since it is smaller than the sum of its proper divisors (113833174887720).

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

46623922942680 is a wasteful number, since it uses less digits than its factorization.

46623922942680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266511 (or 266501 counting only the distinct ones).

The product of its (nonzero) digits is 107495424, while the sum is 63.

The spelling of 46623922942680 in words is "forty-six trillion, six hundred twenty-three billion, nine hundred twenty-two million, nine hundred forty-two thousand, six hundred eighty".