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38722141920 = 25357114722291
BaseRepresentation
bin100100000100000001…
…001111111011100000
310200221121112121202110
4210010001033323200
51113300332020140
625442205515320
72540366530020
oct440401177340
9120847477673
1038722141920
1115470704390
127607b72b40
1338613ca917
141c349b1a80
15101971c380
hex90404fee0

38722141920 has 384 divisors, whose sum is σ = 155314962432. Its totient is φ = 7874611200.

The previous prime is 38722141919. The next prime is 38722142027. The reversal of 38722141920 is 2914122783.

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, 1725975 + ... + 1748265.

It is an arithmetic number, because the mean of its divisors is an integer number (404466048).

Almost surely, 238722141920 is an apocalyptic number.

38722141920 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 38722141920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77657481216).

38722141920 is an abundant number, since it is smaller than the sum of its proper divisors (116592820512).

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

38722141920 is a wasteful number, since it uses less digits than its factorization.

38722141920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22374 (or 22366 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The spelling of 38722141920 in words is "thirty-eight billion, seven hundred twenty-two million, one hundred forty-one thousand, nine hundred twenty".