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38252311944 = 233711192813877
BaseRepresentation
bin100011101000000000…
…111111010110001000
310122201212110210012020
4203220000333112020
51111320042440234
625323423444440
72522633200230
oct435000772610
9118655423166
1038252311944
111524a484150
1274b6756720
1337b7c7a012
141bcc430cc0
15edd363549
hex8e803f588

38252311944 has 256 divisors, whose sum is σ = 125982259200. Its totient is φ = 9376819200.

The previous prime is 38252311901. The next prime is 38252311997. The reversal of 38252311944 is 44911325283.

It is a happy number.

It is a super-2 number, since 2×382523119442 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 38252311896 and 38252311905.

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, 9864534 + ... + 9868410.

It is an arithmetic number, because the mean of its divisors is an integer number (492118200).

Almost surely, 238252311944 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 38252311944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62991129600).

38252311944 is an abundant number, since it is smaller than the sum of its proper divisors (87729947256).

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

38252311944 is a wasteful number, since it uses less digits than its factorization.

38252311944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4204 (or 4200 counting only the distinct ones).

The product of its digits is 207360, while the sum is 42.

The spelling of 38252311944 in words is "thirty-eight billion, two hundred fifty-two million, three hundred eleven thousand, nine hundred forty-four".