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238933101152 = 25311237194713
BaseRepresentation
bin1101111010000110000…
…1011100101001100000
3211211201122210010220202
43132201201130221200
512403313333214102
6301433033324332
723155661564354
oct3364141345140
9754648703822
10238933101152
1192370563359
123a3822666a8
13196ba340435
14b7c8ac9464
156336462e02
hex37a185ca60

238933101152 has 48 divisors (see below), whose sum is σ = 485968758912. Its totient is φ = 115518735360.

The previous prime is 238933101089. The next prime is 238933101167. The reversal of 238933101152 is 251101339832.

It is a happy number.

It is a super-2 number, since 2×2389331011522 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1129748 + ... + 1324460.

It is an arithmetic number, because the mean of its divisors is an integer number (10124349144).

Almost surely, 2238933101152 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 238933101152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242984379456).

238933101152 is an abundant number, since it is smaller than the sum of its proper divisors (247035657760).

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

238933101152 is a wasteful number, since it uses less digits than its factorization.

238933101152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195991 (or 195983 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 38.

The spelling of 238933101152 in words is "two hundred thirty-eight billion, nine hundred thirty-three million, one hundred one thousand, one hundred fifty-two".

Divisors: 1 2 4 8 16 31 32 62 124 248 496 992 1237 2474 4948 9896 19792 38347 39584 76694 153388 194713 306776 389426 613552 778852 1227104 1557704 3115408 6036103 6230816 12072206 24144412 48288824 96577648 193155296 240859981 481719962 963439924 1926879848 3853759696 7466659411 7707519392 14933318822 29866637644 59733275288 119466550576 238933101152