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91897198848 = 28327131632689
BaseRepresentation
bin101010110010101111…
…1111111100100000000
322210012110210101200100
41111211133333210000
53001201140330343
6110114511522400
76432204205350
oct1254537774400
9283173711610
1091897198848
1135a78633724
1215988229400
138886bb4b50
14463ac76b60
1525ccbd49d3
hex15657ff900

91897198848 has 432 divisors, whose sum is σ = 328230098560. Its totient is φ = 24078974976.

The previous prime is 91897198847. The next prime is 91897198859. The reversal of 91897198848 is 84889179819.

It is a happy number.

It is a super-2 number, since 2×918971988482 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (91897198847) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34173888 + ... + 34176576.

Almost surely, 291897198848 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 91897198848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164115049280).

91897198848 is an abundant number, since it is smaller than the sum of its proper divisors (236332899712).

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

91897198848 is a wasteful number, since it uses less digits than its factorization.

91897198848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2894 (or 2877 counting only the distinct ones).

The product of its digits is 83607552, while the sum is 72.

The spelling of 91897198848 in words is "ninety-one billion, eight hundred ninety-seven million, one hundred ninety-eight thousand, eight hundred forty-eight".