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38317438264 = 237316998219
BaseRepresentation
bin100011101011111001…
…011011010100111000
310122220102000112201011
4203223321123110320
51111433231011024
625334111403304
72524353565000
oct435371332470
9118812015634
1038317438264
1115283216556
127514523534
1337c86003c1
141bd6d45000
15ee3e2a094
hex8ebe5b538

38317438264 has 64 divisors (see below), whose sum is σ = 83844000000. Its totient is φ = 16410096864.

The previous prime is 38317438261. The next prime is 38317438297. The reversal of 38317438264 is 46283471383.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38317438261) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4657947 + ... + 4666165.

It is an arithmetic number, because the mean of its divisors is an integer number (1310062500).

Almost surely, 238317438264 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 38317438264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41922000000).

38317438264 is an abundant number, since it is smaller than the sum of its proper divisors (45526561736).

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

38317438264 is a wasteful number, since it uses less digits than its factorization.

38317438264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9945 (or 9927 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 49.

The spelling of 38317438264 in words is "thirty-eight billion, three hundred seventeen million, four hundred thirty-eight thousand, two hundred sixty-four".

Divisors: 1 2 4 7 8 14 28 49 56 98 196 343 392 686 1372 1699 2744 3398 6796 8219 11893 13592 16438 23786 32876 47572 57533 65752 83251 95144 115066 166502 230132 333004 402731 460264 582757 666008 805462 1165514 1610924 2331028 2819117 3221848 4662056 5638234 11276468 13964081 22552936 27928162 55856324 97748567 111712648 195497134 390994268 684239969 781988536 1368479938 2736959876 4789679783 5473919752 9579359566 19158719132 38317438264