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238812051856 = 24723125632
BaseRepresentation
bin1101111001101001001…
…1101011100110010000
3211211102020000012111111
43132122103223212100
512403041341124411
6301413031023104
723152661643100
oct3363223534620
9754366005444
10238812051856
11923091a5214
123a34980aa94
131969b239a31
14b7b69b9200
15632aa01721
hex379a4eb990

238812051856 has 135 divisors (see below), whose sum is σ = 557153245323. Its totient is φ = 98870546880.

The previous prime is 238812051791. The next prime is 238812051911. The reversal of 238812051856 is 658150218832.

The square root of 238812051856 is 488684.

It is a perfect power (a square), and thus also a powerful number.

It is a super-2 number, since 2×2388120518562 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 424177431 + ... + 424177993.

Almost surely, 2238812051856 is an apocalyptic number.

238812051856 is the 488684-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 238812051856

238812051856 is an abundant number, since it is smaller than the sum of its proper divisors (318341193467).

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

238812051856 is an frugal number, since it uses more digits than its factorization.

238812051856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1210 (or 603 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 49.

Multiplying 238812051856 by its sum of digits (49), we get a square (11701790540944 = 34207882).

238812051856 divided by its sum of digits (49) gives a square (4873715344 = 698122).

The spelling of 238812051856 in words is "two hundred thirty-eight billion, eight hundred twelve million, fifty-one thousand, eight hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 28 31 49 56 62 98 112 124 196 217 248 392 434 496 563 784 868 961 1126 1519 1736 1922 2252 3038 3472 3844 3941 4504 6076 6727 7688 7882 9008 12152 13454 15376 15764 17453 24304 26908 27587 31528 34906 47089 53816 55174 63056 69812 94178 107632 110348 122171 139624 188356 220696 244342 279248 316969 376712 441392 488684 541043 633938 753424 855197 977368 1082086 1267876 1710394 1954736 2164172 2218783 2535752 3420788 3787301 4328344 4437566 5071504 6841576 7574602 8656688 8875132 9826039 13683152 15149204 15531481 17750264 19652078 26511107 30298408 31062962 35500528 39304156 53022214 60596816 62125924 68782273 78608312 106044428 124251848 137564546 157216624 212088856 248503696 275129092 304607209 424177712 481475911 550258184 609214418 962951822 1100516368 1218428836 1925903644 2132250463 2436857672 3851807288 4264500926 4873715344 7703614576 8529001852 14925753241 17058003704 29851506482 34116007408 59703012964 119406025928 238812051856