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116006128433760 = 25351923743491857
BaseRepresentation
bin11010011000000111001000…
…000100111011101001100000
3120012202002002112211000200110
4122120013020010323221200
5110201121022334340020
61050420251340251320
733302111002044615
oct3230071004735140
9505662075730613
10116006128433760
1133a65a17255634
1211016921840b40
134c9643c1b7906
142090a25a1250c
15d628bb7028e0
hex6981c813ba60

116006128433760 has 1152 divisors, whose sum is σ = 406598180212224. Its totient is φ = 27762445025280.

The previous prime is 116006128433759. The next prime is 116006128433761. The reversal of 116006128433760 is 67334821600611.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (116006128433759) and next prime (116006128433761).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116006128433761) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 135363043252 + ... + 135363044108.

It is an arithmetic number, because the mean of its divisors is an integer number (352949809212).

Almost surely, 2116006128433760 is an apocalyptic number.

116006128433760 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 116006128433760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203299090106112).

116006128433760 is an abundant number, since it is smaller than the sum of its proper divisors (290592051778464).

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

116006128433760 is a wasteful number, since it uses less digits than its factorization.

116006128433760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1484 (or 1457 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 48.

The spelling of 116006128433760 in words is "one hundred sixteen trillion, six billion, one hundred twenty-eight million, four hundred thirty-three thousand, seven hundred sixty".