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123727834896 = 24311322811179
BaseRepresentation
bin111001100111011000…
…0001110111100010000
3102211100210202020121120
41303032300032330100
54011343311204041
6132501220522240
711640043146501
oct1631660167420
9384323666546
10123727834896
1148522156706
121bb90250380
13b88a605633
145dba490ba8
1533423b9366
hex1ccec0ef10

123727834896 has 40 divisors (see below), whose sum is σ = 322458840480. Its totient is φ = 40877630976.

The previous prime is 123727834889. The next prime is 123727834907. The reversal of 123727834896 is 698438727321.

It is a happy number.

123727834896 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11400166 + ... + 11411013.

It is an arithmetic number, because the mean of its divisors is an integer number (8061471012).

Almost surely, 2123727834896 is an apocalyptic number.

123727834896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

123727834896 is an abundant number, since it is smaller than the sum of its proper divisors (198731005584).

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

123727834896 is a wasteful number, since it uses less digits than its factorization.

123727834896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22811303 (or 22811297 counting only the distinct ones).

The product of its digits is 24385536, while the sum is 60.

The spelling of 123727834896 in words is "one hundred twenty-three billion, seven hundred twenty-seven million, eight hundred thirty-four thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 48 113 226 339 452 678 904 1356 1808 2712 5424 22811179 45622358 68433537 91244716 136867074 182489432 273734148 364978864 547468296 1094936592 2577663227 5155326454 7732989681 10310652908 15465979362 20621305816 30931958724 41242611632 61863917448 123727834896