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38368145988 = 22331739752639
BaseRepresentation
bin100011101110111010…
…110111001001000100
310200000221102202122000
4203232322313021010
51112034221132423
625343122305300
72525540600634
oct435672671104
9120027382560
1038368145988
11152a98aaa67
1275294b8230
133805c75983
141bdd9846c4
15ee85e4843
hex8eeeb7244

38368145988 has 96 divisors (see below), whose sum is σ = 105591628800. Its totient is φ = 12006517248.

The previous prime is 38368145987. The next prime is 38368145989. The reversal of 38368145988 is 88954186383.

38368145988 is a `hidden beast` number, since 3 + 8 + 36 + 8 + 1 + 4 + 598 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (38368145987) and next prime (38368145989).

It is a super-2 number, since 2×383681459882 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (38368145983) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 702573 + ... + 755211.

It is an arithmetic number, because the mean of its divisors is an integer number (1099912800).

Almost surely, 238368145988 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 38368145988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52795814400).

38368145988 is an abundant number, since it is smaller than the sum of its proper divisors (67223482812).

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

38368145988 is a wasteful number, since it uses less digits than its factorization.

38368145988 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53066 (or 53058 counting only the distinct ones).

The product of its digits is 39813120, while the sum is 63.

The spelling of 38368145988 in words is "thirty-eight billion, three hundred sixty-eight million, one hundred forty-five thousand, nine hundred eighty-eight".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 102 108 153 204 306 397 459 612 794 918 1191 1588 1836 2382 3573 4764 6749 7146 10719 13498 14292 20247 21438 26996 40494 42876 52639 60741 80988 105278 121482 157917 182223 210556 242964 315834 364446 473751 631668 728892 894863 947502 1421253 1789726 1895004 2684589 2842506 3579452 5369178 5685012 8053767 10738356 16107534 20897683 24161301 32215068 41795366 48322602 62693049 83590732 96645204 125386098 188079147 250772196 355260611 376158294 564237441 710521222 752316588 1065781833 1128474882 1421042444 2131563666 2256949764 3197345499 4263127332 6394690998 9592036497 12789381996 19184072994 38368145988