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10694131008000 = 29353112312479
BaseRepresentation
bin1001101110011110101111…
…1000010100001000000000
31101212100102101011222002020
42123213223320110020000
52400203040014224000
634424452125321440
72152424351512056
oct233475370241000
941770371158066
1010694131008000
1134533a0182100
121248716a06280
135c75b5708c1b
1428d854ba81d6
151382a3b3eba0
hex9b9ebe14200

10694131008000 has 1440 divisors, whose sum is σ = 40467124938240. Its totient is φ = 2503649280000.

The previous prime is 10694131007993. The next prime is 10694131008007. The reversal of 10694131008000 is 80013149601.

It is an interprime number because it is at equal distance from previous prime (10694131007993) and next prime (10694131008007).

It is a super-2 number, since 2×106941310080002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (10694131008007) 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 143 ways as a sum of consecutive naturals, for example, 22325951761 + ... + 22325952239.

It is an arithmetic number, because the mean of its divisors is an integer number (28102170096).

Almost surely, 210694131008000 is an apocalyptic number.

10694131008000 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 10694131008000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20233562469120).

10694131008000 is an abundant number, since it is smaller than the sum of its proper divisors (29772993930240).

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

10694131008000 is an equidigital number, since it uses as much as digits as its factorization.

10694131008000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 599 (or 531 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 33.

The spelling of 10694131008000 in words is "ten trillion, six hundred ninety-four billion, one hundred thirty-one million, eight thousand".