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129855365136 = 24347110912907
BaseRepresentation
bin111100011101111111…
…0111010000000010000
3110102011211210000220000
41320323332322000100
54111420433141021
6135353231050000
712244636251240
oct1707376720020
9412154700800
10129855365136
1150086a71892
1221200370900
13c325c33983
1463dc1b9b20
1535a02e3b26
hex1e3bfba010

129855365136 has 200 divisors, whose sum is σ = 429951023040. Its totient is φ = 37065206016.

The previous prime is 129855365063. The next prime is 129855365149. The reversal of 129855365136 is 631563558921.

129855365136 is a `hidden beast` number, since 1 + 2 + 9 + 8 + 553 + 6 + 51 + 36 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 10054395 + ... + 10067301.

Almost surely, 2129855365136 is an apocalyptic number.

129855365136 is a gapful number since it is divisible by the number (16) 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 129855365136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214975511520).

129855365136 is an abundant number, since it is smaller than the sum of its proper divisors (300095657904).

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

129855365136 is a wasteful number, since it uses less digits than its factorization.

129855365136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14043 (or 14028 counting only the distinct ones).

The product of its digits is 5832000, while the sum is 54.

The spelling of 129855365136 in words is "one hundred twenty-nine billion, eight hundred fifty-five million, three hundred sixty-five thousand, one hundred thirty-six".