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238371676368 = 24377919147017
BaseRepresentation
bin1101111000000000001…
…1110010000011010000
3211210021112100210220020
43132000003302003100
512401141122120433
6301301220143440
723136033550410
oct3360003620320
9753245323806
10238371676368
1192102662631
123a246237b80
131962ac2ca17
14b774304640
156302014cb3
hex37800f20d0

238371676368 has 160 divisors (see below), whose sum is σ = 716418908160. Its totient is φ = 66890603520.

The previous prime is 238371676297. The next prime is 238371676373. The reversal of 238371676368 is 863676173832.

238371676368 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

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, 5046396 + ... + 5093412.

It is an arithmetic number, because the mean of its divisors is an integer number (4477618176).

Almost surely, 2238371676368 is an apocalyptic number.

238371676368 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 238371676368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358209454080).

238371676368 is an abundant number, since it is smaller than the sum of its proper divisors (478047231792).

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

238371676368 is a wasteful number, since it uses less digits than its factorization.

238371676368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47305 (or 47299 counting only the distinct ones).

The product of its digits is 36578304, while the sum is 60.

The spelling of 238371676368 in words is "two hundred thirty-eight billion, three hundred seventy-one million, six hundred seventy-six thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 79 84 112 158 168 191 237 316 336 382 474 553 573 632 764 948 1106 1146 1264 1337 1528 1659 1896 2212 2292 2674 3056 3318 3792 4011 4424 4584 5348 6636 8022 8848 9168 10696 13272 15089 16044 21392 26544 30178 32088 45267 47017 60356 64176 90534 94034 105623 120712 141051 181068 188068 211246 241424 282102 316869 329119 362136 376136 422492 564204 633738 658238 724272 752272 844984 987357 1128408 1267476 1316476 1689968 1974714 2256816 2534952 2632952 3714343 3949428 5069904 5265904 7428686 7898856 8980247 11143029 14857372 15797712 17960494 22286058 26000401 26940741 29714744 35920988 44572116 52000802 53881482 59429488 62861729 71841976 78001203 89144232 104001604 107762964 125723458 143683952 156002406 178288464 188585187 208003208 215525928 251446916 312004812 377170374 416006416 431051856 502893832 624009624 709439513 754340748 1005787664 1248019248 1418879026 1508681496 2128318539 2837758052 3017362992 4256637078 4966076591 5675516104 8513274156 9932153182 11351032208 14898229773 17026548312 19864306364 29796459546 34053096624 39728612728 59592919092 79457225456 119185838184 238371676368