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99023063040 = 21132511195397
BaseRepresentation
bin101110000111000111…
…1000000100000000000
3100110121002100210200100
41130032033000200000
53110244401004130
6113253543522400
710103612101536
oct1341617004000
9313532323610
1099023063040
1138aa4a34990
1217236759400
1394512b8c35
144b153d8156
1528985b1c60
hex170e3c0800

99023063040 has 1152 divisors, whose sum is σ = 405676252800. Its totient is φ = 22083010560.

The previous prime is 99023063023. The next prime is 99023063047. The reversal of 99023063040 is 4036032099.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 99023062986 and 99023063004.

It is not an unprimeable number, because it can be changed into a prime (99023063047) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1020856272 + ... + 1020856368.

It is an arithmetic number, because the mean of its divisors is an integer number (352149525).

Almost surely, 299023063040 is an apocalyptic number.

99023063040 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 99023063040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202838126400).

99023063040 is an abundant number, since it is smaller than the sum of its proper divisors (306653189760).

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

99023063040 is a wasteful number, since it uses less digits than its factorization.

99023063040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The spelling of 99023063040 in words is "ninety-nine billion, twenty-three million, sixty-three thousand, forty".