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69160104000 = 26325313371997
BaseRepresentation
bin100000001101001000…
…0110111000001000000
320121111212221022011100
41000122100313001000
52113114441312000
651434405014400
74665565120161
oct1003220670100
9217455838140
1069160104000
1127370091849
12114a16b4400
1366a2436380
1434c1263768
151beba07a00
hex101a437040

69160104000 has 672 divisors, whose sum is σ = 273765544416. Its totient is φ = 16555622400.

The previous prime is 69160103993. The next prime is 69160104001. The reversal of 69160104000 is 40106196.

It can be written as a sum of positive squares in 16 ways, for example, as 63455625216 + 5704478784 = 251904^2 + 75528^2 .

It is not an unprimeable number, because it can be changed into a prime (69160104001) 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, 34631002 + ... + 34632998.

It is an arithmetic number, because the mean of its divisors is an integer number (407389203).

Almost surely, 269160104000 is an apocalyptic number.

69160104000 is a gapful number since it is divisible by the number (60) 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 69160104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136882772208).

69160104000 is an abundant number, since it is smaller than the sum of its proper divisors (204605440416).

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

69160104000 is a wasteful number, since it uses less digits than its factorization.

69160104000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2080 (or 2057 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The spelling of 69160104000 in words is "sixty-nine billion, one hundred sixty million, one hundred four thousand".