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139191091200 = 215335272931
BaseRepresentation
bin1000000110100001101…
…1111000000000000000
3111022021110121001111000
42001220123320000000
54240030404404300
6143535444052000
713025166516420
oct2015033700000
9438243531430
10139191091200
1154037818a77
1222b86994000
1310183110135
146a46024480
153949bd9c00
hex20686f8000

139191091200 has 1536 divisors, whose sum is σ = 624102912000. Its totient is φ = 29727129600.

The previous prime is 139191091189. The next prime is 139191091201. The reversal of 139191091200 is 2190191931.

It is a tau number, because it is divible by the number of its divisors (1536).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (139191091201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4490035185 + ... + 4490035215.

It is an arithmetic number, because the mean of its divisors is an integer number (406317000).

Almost surely, 2139191091200 is an apocalyptic number.

139191091200 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 139191091200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312051456000).

139191091200 is an abundant number, since it is smaller than the sum of its proper divisors (484911820800).

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

139191091200 is an equidigital number, since it uses as much as digits as its factorization.

139191091200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 4374, while the sum is 36.

The spelling of 139191091200 in words is "one hundred thirty-nine billion, one hundred ninety-one million, ninety-one thousand, two hundred".