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38423324160 = 293351361701
BaseRepresentation
bin100011110010001101…
…010110011000000000
310200011210021002212000
4203302031112120000
51112142332333120
625352413104000
72530110603144
oct436215263000
9120153232760
1038423324160
1115327a68161
127543a88000
133814524c90
141c07029224
15eed393990
hex8f2356600

38423324160 has 640 divisors, whose sum is σ = 149604174720. Its totient is φ = 9289728000.

The previous prime is 38423324143. The next prime is 38423324167. The reversal of 38423324160 is 6142332483.

38423324160 is a `hidden beast` number, since 3 + 8 + 4 + 233 + 2 + 416 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38423324167) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 54811810 + ... + 54812510.

It is an arithmetic number, because the mean of its divisors is an integer number (233756523).

Almost surely, 238423324160 is an apocalyptic number.

38423324160 is a gapful number since it is divisible by the number (30) 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 38423324160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74802087360).

38423324160 is an abundant number, since it is smaller than the sum of its proper divisors (111180850560).

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

38423324160 is a wasteful number, since it uses less digits than its factorization.

38423324160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 807 (or 785 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 38423324160 in words is "thirty-eight billion, four hundred twenty-three million, three hundred twenty-four thousand, one hundred sixty".