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123380988768 = 25322318626357
BaseRepresentation
bin111001011101000010…
…1000111101101100000
3102210110122002122011200
41302322011013231200
54010141013120033
6132402550441200
711625332046342
oct1627205075540
9383418078150
10123380988768
1148364396014
121bab4063200
13b8337b4b3b
145d863a5292
153321c05013
hex1cba147b60

123380988768 has 72 divisors (see below), whose sum is σ = 366119692848. Its totient is φ = 39338863872.

The previous prime is 123380988767. The next prime is 123380988799. The reversal of 123380988768 is 867889083321.

123380988768 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123380988767) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9306555 + ... + 9319802.

It is an arithmetic number, because the mean of its divisors is an integer number (5084995734).

Almost surely, 2123380988768 is an apocalyptic number.

123380988768 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

123380988768 is an abundant number, since it is smaller than the sum of its proper divisors (242738704080).

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

123380988768 is a wasteful number, since it uses less digits than its factorization.

123380988768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18626396 (or 18626385 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 63.

The spelling of 123380988768 in words is "one hundred twenty-three billion, three hundred eighty million, nine hundred eighty-eight thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 69 72 92 96 138 144 184 207 276 288 368 414 552 736 828 1104 1656 2208 3312 6624 18626357 37252714 55879071 74505428 111758142 149010856 167637213 223516284 298021712 335274426 428406211 447032568 596043424 670548852 856812422 894065136 1285218633 1341097704 1713624844 1788130272 2570437266 2682195408 3427249688 3855655899 5140874532 5364390816 6854499376 7711311798 10281749064 13708998752 15422623596 20563498128 30845247192 41126996256 61690494384 123380988768