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94381619904 = 2635111331372
BaseRepresentation
bin101011111100110010…
…1010011101011000000
3100000121121200001200000
41113321211103223000
53021243143314104
6111205221400000
76550602350415
oct1277145235300
9300547601600
1094381619904
1137032a66a70
1216360269000
138b9181b290
1447d4bd010c
1526c5d84639
hex15f9953ac0

94381619904 has 1008 divisors, whose sum is σ = 349670071296. Its totient is φ = 24858316800.

The previous prime is 94381619887. The next prime is 94381619923. The reversal of 94381619904 is 40991618349.

It is a happy number.

94381619904 is a `hidden beast` number, since 9 + 438 + 16 + 199 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 2550854574 + ... + 2550854610.

It is an arithmetic number, because the mean of its divisors is an integer number (346894912).

Almost surely, 294381619904 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 94381619904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174835035648).

94381619904 is an abundant number, since it is smaller than the sum of its proper divisors (255288451392).

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

94381619904 is a wasteful number, since it uses less digits than its factorization.

94381619904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 54.

The spelling of 94381619904 in words is "ninety-four billion, three hundred eighty-one million, six hundred nineteen thousand, nine hundred four".