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238253180328 = 23343724141233
BaseRepresentation
bin1101110111100011111…
…1110000010110101000
3211202222021101120220000
43131320333300112220
512400420303232303
6301241344303000
723133064422042
oct3357077602650
9752867346800
10238253180328
1192051788819
123a212611a60
131960c511517
14b76269aa92
1562e6909da3
hex3778ff05a8

238253180328 has 160 divisors (see below), whose sum is σ = 688225973160. Its totient is φ = 76948807680.

The previous prime is 238253180287. The next prime is 238253180401. The reversal of 238253180328 is 823081352832.

238253180328 is a `hidden beast` number, since 2 + 3 + 8 + 2 + 5 + 318 + 0 + 328 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 236388495204 + 1864685124 = 486198^2 + 43182^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5757600 + ... + 5798832.

Almost surely, 2238253180328 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 238253180328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344112986580).

238253180328 is an abundant number, since it is smaller than the sum of its proper divisors (449972792832).

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

238253180328 is a wasteful number, since it uses less digits than its factorization.

238253180328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41529 (or 41516 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 238253180328 in words is "two hundred thirty-eight billion, two hundred fifty-three million, one hundred eighty thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 37 54 72 74 81 108 111 148 162 216 222 241 296 324 333 444 482 648 666 723 888 964 999 1332 1446 1928 1998 2169 2664 2892 2997 3996 4338 5784 5994 6507 7992 8676 8917 11988 13014 17352 17834 19521 23976 26028 26751 35668 39042 41233 52056 53502 71336 78084 80253 82466 107004 123699 156168 160506 164932 214008 240759 247398 321012 329864 371097 481518 494796 642024 722277 742194 963036 989592 1113291 1444554 1484388 1525621 1926072 2226582 2889108 2968776 3051242 3339873 4453164 4576863 5778216 6102484 6679746 8906328 9153726 9937153 12204968 13359492 13730589 18307452 19874306 26718984 27461178 29811459 36614904 39748612 41191767 54922356 59622918 79497224 82383534 89434377 109844712 119245836 123575301 164767068 178868754 238491672 247150602 268303131 329534136 357737508 367674661 494301204 536606262 715475016 735349322 804909393 988602408 1073212524 1103023983 1470698644 1609818786 2146425048 2206047966 2941397288 3219637572 3309071949 4412095932 6439275144 6618143898 8824191864 9927215847 13236287796 19854431694 26472575592 29781647541 39708863388 59563295082 79417726776 119126590164 238253180328