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38379499928 = 237112914391493
BaseRepresentation
bin100011101111100110…
…001011000110011000
310200001201210121022022
4203233212023012120
51112100122444203
625344205514012
72526036236540
oct435746130630
9120051717268
1038379499928
1115305255390
127531272908
13380841c893
141c0129c320
15ee95d8a38
hex8ef98b198

38379499928 has 128 divisors (see below), whose sum is σ = 92938752000. Its totient is φ = 14417733120.

The previous prime is 38379499909. The next prime is 38379499937. The reversal of 38379499928 is 82999497383.

38379499928 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25705550 + ... + 25707042.

It is an arithmetic number, because the mean of its divisors is an integer number (726084000).

Almost surely, 238379499928 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 38379499928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46469376000).

38379499928 is an abundant number, since it is smaller than the sum of its proper divisors (54559252072).

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

38379499928 is a wasteful number, since it uses less digits than its factorization.

38379499928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2985 (or 2981 counting only the distinct ones).

The product of its digits is 211631616, while the sum is 71.

The spelling of 38379499928 in words is "thirty-eight billion, three hundred seventy-nine million, four hundred ninety-nine thousand, nine hundred twenty-eight".

Divisors: 1 2 4 7 8 11 14 22 28 29 44 56 58 77 88 116 154 203 232 308 319 406 616 638 812 1276 1439 1493 1624 2233 2552 2878 2986 4466 5756 5972 8932 10073 10451 11512 11944 15829 16423 17864 20146 20902 31658 32846 40292 41731 41804 43297 63316 65692 80584 83462 83608 86594 110803 114961 126632 131384 166924 173188 221606 229922 292117 303079 333848 346376 443212 459041 459844 476267 584234 606158 886424 918082 919688 952534 1168468 1212316 1836164 1905068 2148427 2336936 2424632 3213287 3333869 3672328 3810136 4296854 6426574 6667738 8593708 12853148 13335476 15038989 17187416 23632697 25706296 26670952 30077978 47265394 60155956 62304383 94530788 120311912 124608766 165428879 189061576 249217532 330857758 436130681 498435064 661715516 685348213 872261362 1323431032 1370696426 1744522724 2741392852 3489045448 4797437491 5482785704 9594874982 19189749964 38379499928