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69090693067968 = 26311133789764171
BaseRepresentation
bin11111011010110011011100…
…01101111011010011000000
3100001122000011012012112221220
433231121232031323103000
533023440214411133333
6402535454244115040
720360431532160615
oct1755315615732300
9301560135175856
1069090693067968
1120018220056570
1278ba2a5395a80
132c722bc013530
14130c0163ac50c
157ec31a3ae8b3
hex3ed66e37b4c0

69090693067968 has 448 divisors, whose sum is σ = 223043833474560. Its totient is φ = 18592439500800.

The previous prime is 69090693067967. The next prime is 69090693067973. The reversal of 69090693067968 is 86976039609096.

It is a super-2 number, since 2×690906930679682 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (78).

It is a junction number, because it is equal to n+sod(n) for n = 69090693067893 and 69090693067902.

It is not an unprimeable number, because it can be changed into a prime (69090693067967) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 90030523 + ... + 90794693.

It is an arithmetic number, because the mean of its divisors is an integer number (497865699720).

Almost surely, 269090693067968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 69090693067968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111521916737280).

69090693067968 is an abundant number, since it is smaller than the sum of its proper divisors (153953140406592).

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

69090693067968 is a wasteful number, since it uses less digits than its factorization.

69090693067968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 764336 (or 764326 counting only the distinct ones).

The product of its (nonzero) digits is 1428513408, while the sum is 78.

The spelling of 69090693067968 in words is "sixty-nine trillion, ninety billion, six hundred ninety-three million, sixty-seven thousand, nine hundred sixty-eight".