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238180217568 = 253113127172883
BaseRepresentation
bin1101110111010010100…
…1011011001011100000
3211202210012002200210120
43131310221123023200
512400243113430233
6301230220400240
723131220305446
oct3356451331340
9752705080716
10238180217568
1192014583817
123a1b20a6080
13195ca3762a7
14b756b06b96
1562e02e64b3
hex3774a5b2e0

238180217568 has 96 divisors (see below), whose sum is σ = 635726278656. Its totient is φ = 78070745088.

The previous prime is 238180217563. The next prime is 238180217573. The reversal of 238180217568 is 865712081832.

It is an interprime number because it is at equal distance from previous prime (238180217563) and next prime (238180217573).

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 238180217568.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (238180217563) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1291255 + ... + 1464137.

It is an arithmetic number, because the mean of its divisors is an integer number (6622148736).

Almost surely, 2238180217568 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 238180217568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317863139328).

238180217568 is an abundant number, since it is smaller than the sum of its proper divisors (397546061088).

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

238180217568 is a wasteful number, since it uses less digits than its factorization.

238180217568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173136 (or 173128 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 51.

The spelling of 238180217568 in words is "two hundred thirty-eight billion, one hundred eighty million, two hundred seventeen thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 113 127 226 254 339 381 452 508 678 762 904 1016 1356 1524 1808 2032 2712 3048 3616 4064 5424 6096 10848 12192 14351 28702 43053 57404 86106 114808 172212 172883 229616 344424 345766 459232 518649 688848 691532 1037298 1377696 1383064 2074596 2766128 4149192 5532256 8298384 16596768 19535779 21956141 39071558 43912282 58607337 65868423 78143116 87824564 117214674 131736846 156286232 175649128 234429348 263473692 312572464 351298256 468858696 526947384 625144928 702596512 937717392 1053894768 1875434784 2107789536 2481043933 4962087866 7443131799 9924175732 14886263598 19848351464 29772527196 39696702928 59545054392 79393405856 119090108784 238180217568