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38122274240 = 2651771891109
BaseRepresentation
bin100011100000010000…
…111011110111000000
310122101210210011222222
4203200100323313000
51111033300233430
625302500350212
72516463661451
oct434020736700
9118353704888
1038122274240
1115193036976
12747b0a5368
13379704a32b
141bb9061128
15ed1c289e5
hex8e043bdc0

38122274240 has 224 divisors, whose sum is σ = 98656444800. Its totient is φ = 13978173440.

The previous prime is 38122274233. The next prime is 38122274279. The reversal of 38122274240 is 4247222183.

It is a self number, because there is not a number n which added to its sum of digits gives 38122274240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34374806 + ... + 34375914.

Almost surely, 238122274240 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 38122274240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49328222400).

38122274240 is an abundant number, since it is smaller than the sum of its proper divisors (60534170560).

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

38122274240 is a wasteful number, since it uses less digits than its factorization.

38122274240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1303 (or 1293 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 35.

The spelling of 38122274240 in words is "thirty-eight billion, one hundred twenty-two million, two hundred seventy-four thousand, two hundred forty".