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97995805992 = 233372173117569
BaseRepresentation
bin101101101000100000…
…0010101010100101000
3100100221111101201221000
41123101000111110220
53101143411242432
6113004010115000
710036266415200
oct1332100252450
9310844351830
1097995805992
1138618094517
1216baa71ba60
139319527426
144a58bd3400
1528382e957c
hex16d1015528

97995805992 has 384 divisors, whose sum is σ = 346114944000. Its totient is φ = 25500303360.

The previous prime is 97995805939. The next prime is 97995806011. The reversal of 97995805992 is 29950859979.

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

It is a self number, because there is not a number n which added to its sum of digits gives 97995805992.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5568984 + ... + 5586552.

It is an arithmetic number, because the mean of its divisors is an integer number (901341000).

Almost surely, 297995805992 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 97995805992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173057472000).

97995805992 is an abundant number, since it is smaller than the sum of its proper divisors (248119138008).

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

97995805992 is a wasteful number, since it uses less digits than its factorization.

97995805992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17646 (or 17629 counting only the distinct ones).

The product of its (nonzero) digits is 165337200, while the sum is 72.

The spelling of 97995805992 in words is "ninety-seven billion, nine hundred ninety-five million, eight hundred five thousand, nine hundred ninety-two".