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136825182432 = 25322153220663
BaseRepresentation
bin111111101101101101…
…0101001100011100000
3111002011120201102210100
41333123122221203200
54220204221314212
6142505010302400
712612440601261
oct1773332514340
9432146642710
10136825182432
1153033280774
1222626587a00
13cb96bcc713
14689db1a968
15385c149bdc
hex1fdb6a98e0

136825182432 has 72 divisors (see below), whose sum is σ = 389279099664. Its totient is φ = 45587003904.

The previous prime is 136825182421. The next prime is 136825182433. The reversal of 136825182432 is 234281528631.

136825182432 is a `hidden beast` number, since 1 + 3 + 6 + 82 + 518 + 24 + 32 = 666.

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

It is a super-2 number, since 2×1368251824322 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136825182433) 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, 509733 + ... + 730395.

It is an arithmetic number, because the mean of its divisors is an integer number (5406654162).

Almost surely, 2136825182432 is an apocalyptic number.

136825182432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

136825182432 is an abundant number, since it is smaller than the sum of its proper divisors (252453917232).

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

136825182432 is a wasteful number, since it uses less digits than its factorization.

136825182432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222832 (or 222821 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The spelling of 136825182432 in words is "one hundred thirty-six billion, eight hundred twenty-five million, one hundred eighty-two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 2153 4306 6459 8612 12918 17224 19377 25836 34448 38754 51672 68896 77508 103344 155016 206688 220663 310032 441326 620064 661989 882652 1323978 1765304 1985967 2647956 3530608 3971934 5295912 7061216 7943868 10591824 15887736 21183648 31775472 63550944 475087439 950174878 1425262317 1900349756 2850524634 3800699512 4275786951 5701049268 7601399024 8551573902 11402098536 15202798048 17103147804 22804197072 34206295608 45608394144 68412591216 136825182432