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238232100794688 = 26357111332331127
BaseRepresentation
bin110110001010101110111011…
…101111011111000101000000
31011020111202200201022020100000
4312022232323233133011000
5222211143320300412223
62202402152150200000
7101115462354153060
oct6612567357370500
91136452621266300
10238232100794688
11699a9737222a20
1222876b88653000
13a2c1262cb2000
1442b86d0b913a0
151c81e6c4ee543
hexd8abbbbdf140

238232100794688 has 5376 divisors, whose sum is σ = 1038303897845760. Its totient is φ = 52456423219200.

The previous prime is 238232100794659. The next prime is 238232100794717. The reversal of 238232100794688 is 886497001232832.

238232100794688 is a `hidden beast` number, since 2 + 3 + 82 + 3 + 21 + 0 + 0 + 79 + 468 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (238232100794659) and next prime (238232100794717).

It is a super-2 number, since 2×2382321007946882 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 1875843313281 + ... + 1875843313407.

It is an arithmetic number, because the mean of its divisors is an integer number (193136885760).

Almost surely, 2238232100794688 is an apocalyptic number.

238232100794688 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 238232100794688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (519151948922880).

238232100794688 is an abundant number, since it is smaller than the sum of its proper divisors (800071797051072).

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

238232100794688 is a wasteful number, since it uses less digits than its factorization.

238232100794688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 55738368, while the sum is 63.

The spelling of 238232100794688 in words is "two hundred thirty-eight trillion, two hundred thirty-two billion, one hundred million, seven hundred ninety-four thousand, six hundred eighty-eight".