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12316238280 = 23325307111439
BaseRepresentation
bin10110111100001101…
…01110000111001000
31011210100011201201100
423132012232013020
5200210424111110
65354043421400
7614131204143
oct133606560710
934710151640
1012316238280
115250217125
122478824860
131213829778
1484ba1b05a
154c13dabc0
hex2de1ae1c8

12316238280 has 96 divisors (see below), whose sum is σ = 40158518400. Its totient is φ = 3273602688.

The previous prime is 12316238261. The next prime is 12316238303. The reversal of 12316238280 is 8283261321.

12316238280 is a `hidden beast` number, since 1 + 2 + 3 + 1 + 623 + 8 + 28 + 0 = 666.

12316238280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54801 + ... + 166239.

It is an arithmetic number, because the mean of its divisors is an integer number (418317900).

Almost surely, 212316238280 is an apocalyptic number.

12316238280 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12316238280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20079259200).

12316238280 is an abundant number, since it is smaller than the sum of its proper divisors (27842280120).

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

12316238280 is a wasteful number, since it uses less digits than its factorization.

12316238280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111763 (or 111756 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 12316238280 in words is "twelve billion, three hundred sixteen million, two hundred thirty-eight thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 307 360 614 921 1228 1535 1842 2456 2763 3070 3684 4605 5526 6140 7368 9210 11052 12280 13815 18420 22104 27630 36840 55260 110520 111439 222878 334317 445756 557195 668634 891512 1002951 1114390 1337268 1671585 2005902 2228780 2674536 3343170 4011804 4457560 5014755 6686340 8023608 10029510 13372680 20059020 34211773 40118040 68423546 102635319 136847092 171058865 205270638 273694184 307905957 342117730 410541276 513176595 615811914 684235460 821082552 1026353190 1231623828 1368470920 1539529785 2052706380 2463247656 3079059570 4105412760 6158119140 12316238280