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123368745168 = 243495191933
BaseRepresentation
bin111001011100101011…
…0011010100011010000
3102210102210001121010000
41302321112122203100
54010124344321133
6132401432210000
711625123013614
oct1627126324320
9383383047100
10123368745168
1148358493239
121baabb39900
13b8310b8cc6
145d848d9344
153320ad7413
hex1cb959a8d0

123368745168 has 50 divisors (see below), whose sum is σ = 357064944434. Its totient is φ = 41122914624.

The previous prime is 123368745163. The next prime is 123368745211. The reversal of 123368745168 is 861547863321.

123368745168 is a `hidden beast` number, since 1 + 23 + 36 + 8 + 74 + 516 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 101230876224 + 22137868944 = 318168^2 + 148788^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123368745163) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 47594671 + ... + 47597262.

Almost surely, 2123368745168 is an apocalyptic number.

123368745168 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

123368745168 is an abundant number, since it is smaller than the sum of its proper divisors (233696199266).

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

123368745168 is an equidigital number, since it uses as much as digits as its factorization.

123368745168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95191953 (or 95191938 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 54.

The spelling of 123368745168 in words is "one hundred twenty-three billion, three hundred sixty-eight million, seven hundred forty-five thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 95191933 190383866 285575799 380767732 571151598 761535464 856727397 1142303196 1523070928 1713454794 2284606392 2570182191 3426909588 4569212784 5140364382 6853819176 7710546573 10280728764 13707638352 15421093146 20561457528 30842186292 41122915056 61684372584 123368745168