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23094769917168 = 2433471137449267
BaseRepresentation
bin1010100000001001010111…
…00011101001110011110000
310000202211122020001101111000
411100010223203221303300
511011341042044322133
6121041331341522000
74602353633210415
oct520045343516360
9100684566041430
1023094769917168
1173a44895a2204
12270bb07873300
13cb6a9ac068b1
1459bb1574010c
152a0b345b0413
hex15012b8e9cf0

23094769917168 has 80 divisors (see below), whose sum is σ = 67700980431360. Its totient is φ = 7534463937984.

The previous prime is 23094769917161. The next prime is 23094769917181. The reversal of 23094769917168 is 86171996749032.

23094769917168 is a `hidden beast` number, since 2 + 3 + 0 + 9 + 476 + 9 + 91 + 7 + 1 + 68 = 666.

It is a super-2 number, since 2×230947699171682 (a number of 28 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 23094769917096 and 23094769917105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23094769917161) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 568704330 + ... + 568744937.

It is an arithmetic number, because the mean of its divisors is an integer number (846262255392).

Almost surely, 223094769917168 is an apocalyptic number.

It is an amenable number.

23094769917168 is an abundant number, since it is smaller than the sum of its proper divisors (44606210514192).

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

23094769917168 is a wasteful number, since it uses less digits than its factorization.

23094769917168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1137449331 (or 1137449319 counting only the distinct ones).

The product of its (nonzero) digits is 246903552, while the sum is 72.

The spelling of 23094769917168 in words is "twenty-three trillion, ninety-four billion, seven hundred sixty-nine million, nine hundred seventeen thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 47 48 54 72 94 108 141 144 188 216 282 376 423 432 564 752 846 1128 1269 1692 2256 2538 3384 5076 6768 10152 20304 1137449267 2274898534 3412347801 4549797068 6824695602 9099594136 10237043403 13649391204 18199188272 20474086806 27298782408 30711130209 40948173612 53460115549 54597564816 61422260418 81896347224 106920231098 122844520836 160380346647 163792694448 213840462196 245689041672 320760693294 427680924392 481141039941 491378083344 641521386588 855361848784 962282079882 1283042773176 1443423119823 1924564159764 2566085546352 2886846239646 3849128319528 5773692479292 7698256639056 11547384958584 23094769917168