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38830748968 = 231117187113873
BaseRepresentation
bin100100001010011111…
…100011010100101000
310201020011220102121201
4210022133203110220
51114011132431333
625501045413544
72543155630444
oct441237432450
9121204812551
1038830748968
1115516a44480
12763840a2b4
13387aa65c4b
141c451a3824
15102402217d
hex90a7e3528

38830748968 has 64 divisors (see below), whose sum is σ = 84149694720. Its totient is φ = 16602009600.

The previous prime is 38830748953. The next prime is 38830748981. The reversal of 38830748968 is 86984703883.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2792080 + ... + 2805952.

It is an arithmetic number, because the mean of its divisors is an integer number (1314838980).

Almost surely, 238830748968 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 38830748968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42074847360).

38830748968 is an abundant number, since it is smaller than the sum of its proper divisors (45318945752).

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

38830748968 is a wasteful number, since it uses less digits than its factorization.

38830748968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15778 (or 15774 counting only the distinct ones).

The product of its (nonzero) digits is 55738368, while the sum is 64.

The spelling of 38830748968 in words is "thirty-eight billion, eight hundred thirty million, seven hundred forty-eight thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 11 17 22 34 44 68 88 136 187 374 748 1496 1871 3742 7484 13873 14968 20581 27746 31807 41162 55492 63614 82324 110984 127228 152603 164648 235841 254456 305206 349877 471682 610412 699754 943364 1220824 1399508 1886728 2594251 2799016 5188502 10377004 20754008 25956383 51912766 103825532 207651064 285520213 441258511 571040426 882517022 1142080852 1765034044 2284161704 3530068088 4853843621 9707687242 19415374484 38830748968