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91689570000 = 2434547103157
BaseRepresentation
bin101010101100100011…
…1111100111011010000
322202200000002202110000
41111121013330323100
53000240012220000
6110042133410000
76424103325420
oct1253107747320
9282600082400
1091689570000
1135981410036
121592a799900
138852b89342
14461b46a480
1525b9870000
hex15591fced0

91689570000 has 1000 divisors, whose sum is σ = 385104427136. Its totient is φ = 20621952000.

The previous prime is 91689569987. The next prime is 91689570001. The reversal of 91689570000 is 7598619.

It is a tau number, because it is divible by the number of its divisors (1000).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (91689570001) by changing a digit.

It is a polite number, since it can be written in 199 ways as a sum of consecutive naturals, for example, 584009922 + ... + 584010078.

Almost surely, 291689570000 is an apocalyptic number.

91689570000 is a gapful number since it is divisible by the number (90) 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 91689570000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192552213568).

91689570000 is an abundant number, since it is smaller than the sum of its proper divisors (293414857136).

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

91689570000 is a wasteful number, since it uses less digits than its factorization.

91689570000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 45.

The spelling of 91689570000 in words is "ninety-one billion, six hundred eighty-nine million, five hundred seventy thousand".