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238581881641216 = 28292332892
BaseRepresentation
bin110110001111110100101100…
…010011100001100100000000
31011021202012112112200021122201
4312033310230103201210000
5222232411143200004331
62203231000415442544
7101152654303251661
oct6617645423414400
91137665475607581
10238581881641216
116a02400a407aa3
1222912925526454
13a31823734b309
1442cb5d3497368
151c8b0e01b3a61
hexd8fd2c4e1900

238581881641216 has 81 divisors (see below), whose sum is σ = 493234674350691. Its totient is φ = 115174000177152.

The previous prime is 238581881641199. The next prime is 238581881641277. The reversal of 238581881641216 is 612146188185832.

The square root of 238581881641216 is 15446096.

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

It can be written as a sum of positive squares in 4 ways, for example, as 72200776386816 + 166381105254400 = 8497104^2 + 12898880^2 .

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 7166971900 + ... + 7167005188.

Almost surely, 2238581881641216 is an apocalyptic number.

238581881641216 is the 15446096-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 238581881641216

238581881641216 is an abundant number, since it is smaller than the sum of its proper divisors (254652792709475).

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

238581881641216 is an frugal number, since it uses more digits than its factorization.

238581881641216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66652 (or 33320 counting only the distinct ones).

The product of its digits is 35389440, while the sum is 64.

238581881641216 divided by its sum of digits (64) gives a square (3727841900644 = 19307622).

The spelling of 238581881641216 in words is "two hundred thirty-eight trillion, five hundred eighty-one billion, eight hundred eighty-one million, six hundred forty-one thousand, two hundred sixteen".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 232 256 464 841 928 1682 1856 3364 3712 6728 7424 13456 26912 33289 53824 66578 107648 133156 215296 266312 532624 965381 1065248 1930762 2130496 3861524 4260992 7723048 8521984 15446096 27996049 30892192 55992098 61784384 111984196 123568768 223968392 247137536 447936784 895873568 1108157521 1791747136 2216315042 3583494272 4432630084 7166988544 8865260168 17730520336 32136568109 35461040672 64273136218 70922081344 128546272436 141844162688 257092544872 283688325376 514185089744 931960475161 1028370179488 1863920950322 2056740358976 3727841900644 4113480717952 7455683801288 8226961435904 14911367602576 29822735205152 59645470410304 119290940820608 238581881641216