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38916778944 = 2635337310253
BaseRepresentation
bin100100001111100111…
…101110101111000000
310201110011210012120010
4210033213232233000
51114200143411234
625513401344520
72545252106631
oct441747565700
9121404705503
1038916778944
111556056402a
127661198140
133892827b64
141c52799888
15102b8676e9
hex90f9eebc0

38916778944 has 112 divisors (see below), whose sum is σ = 105201610272. Its totient is φ = 12692140032.

The previous prime is 38916778933. The next prime is 38916778951. The reversal of 38916778944 is 44987761983.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 3790522 + ... + 3800774.

Almost surely, 238916778944 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 38916778944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52600805136).

38916778944 is an abundant number, since it is smaller than the sum of its proper divisors (66284831328).

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

38916778944 is a wasteful number, since it uses less digits than its factorization.

38916778944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10694 (or 10684 counting only the distinct ones).

The product of its digits is 73156608, while the sum is 66.

The spelling of 38916778944 in words is "thirty-eight billion, nine hundred sixteen million, seven hundred seventy-eight thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 64 96 106 159 192 212 318 373 424 636 746 848 1119 1272 1492 1696 2238 2544 2984 3392 4476 5088 5968 8952 10176 10253 11936 17904 19769 20506 23872 30759 35808 39538 41012 59307 61518 71616 79076 82024 118614 123036 158152 164048 237228 246072 316304 328096 474456 492144 543409 632608 656192 948912 984288 1086818 1265216 1630227 1897824 1968576 2173636 3260454 3795648 3824369 4347272 6520908 7648738 8694544 11473107 13041816 15297476 17389088 22946214 26083632 30594952 34778176 45892428 52167264 61189904 91784856 104334528 122379808 183569712 202691557 244759616 367139424 405383114 608074671 734278848 810766228 1216149342 1621532456 2432298684 3243064912 4864597368 6486129824 9729194736 12972259648 19458389472 38916778944