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38054177720 = 23513312271281
BaseRepresentation
bin100011011100001101…
…001010101110111000
310122020001122112010122
4203130031022232320
51110413332141340
625252025032412
72515006113356
oct433415125670
9118201575118
1038054177720
1115158655a59
127460325708
133785bc7030
141baddb67d6
15ecac76db5
hex8dc34abb8

38054177720 has 192 divisors, whose sum is σ = 95970510720. Its totient is φ = 13499136000.

The previous prime is 38054177713. The next prime is 38054177723. The reversal of 38054177720 is 2777145083.

38054177720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (44) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38054177723) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 135423980 + ... + 135424260.

It is an arithmetic number, because the mean of its divisors is an integer number (499846410).

Almost surely, 238054177720 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 38054177720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47985255360).

38054177720 is an abundant number, since it is smaller than the sum of its proper divisors (57916333000).

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

38054177720 is a wasteful number, since it uses less digits than its factorization.

38054177720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 638 (or 603 counting only the distinct ones).

The product of its (nonzero) digits is 329280, while the sum is 44.

The spelling of 38054177720 in words is "thirty-eight billion, fifty-four million, one hundred seventy-seven thousand, seven hundred twenty".