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123047632050 = 23527311376811
BaseRepresentation
bin111001010011000110…
…1011101110010110010
3102202121101211100201120
41302212031131302302
54004000143211200
6132305521443110
711614143421020
oct1624615356262
9382541740646
10123047632050
11482031a91a2
121ba204a0496
13b7ac708245
145d53dcb710
1533028079a0
hex1ca635dcb2

123047632050 has 96 divisors (see below), whose sum is σ = 349874463744. Its totient is φ = 28034664000.

The previous prime is 123047632027. The next prime is 123047632067. The reversal of 123047632050 is 50236740321.

It is a super-2 number, since 2×1230476320502 (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 138145 + ... + 514955.

It is an arithmetic number, because the mean of its divisors is an integer number (3644525664).

Almost surely, 2123047632050 is an apocalyptic number.

123047632050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 123047632050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174937231872).

123047632050 is an abundant number, since it is smaller than the sum of its proper divisors (226826831694).

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

123047632050 is a wasteful number, since it uses less digits than its factorization.

123047632050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377144 (or 377139 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 33.

The spelling of 123047632050 in words is "one hundred twenty-three billion, forty-seven million, six hundred thirty-two thousand, fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 25 30 35 42 50 70 75 105 150 175 210 311 350 525 622 933 1050 1555 1866 2177 3110 4354 4665 6531 7775 9330 10885 13062 15550 21770 23325 32655 46650 54425 65310 108850 163275 326550 376811 753622 1130433 1884055 2260866 2637677 3768110 5275354 5652165 7913031 9420275 11304330 13188385 15826062 18840550 26376770 28260825 39565155 56521650 65941925 79130310 117188221 131883850 197825775 234376442 351564663 395651550 585941105 703129326 820317547 1171882210 1640635094 1757823315 2460952641 2929705525 3515646630 4101587735 4921905282 5859411050 8203175470 8789116575 12304763205 17578233150 20507938675 24609526410 41015877350 61523816025 123047632050