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97995086280 = 2335574131719
BaseRepresentation
bin101101101000011110…
…1100101100111001000
3100100221110001011200000
41123100331211213020
53101143220230110
6113003542443000
710036260330000
oct1332075454710
9310843034600
1097995086280
1138617742813
1216baa433460
139319334970
144a58a87000
1528382061c0
hex16d0f659c8

97995086280 has 1920 divisors, whose sum is σ = 462474230400. Its totient is φ = 18435465216.

The previous prime is 97995086257. The next prime is 97995086281. The reversal of 97995086280 is 8268059979.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (97995086281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 5157636111 + ... + 5157636129.

It is an arithmetic number, because the mean of its divisors is an integer number (240871995).

Almost surely, 297995086280 is an apocalyptic number.

97995086280 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 97995086280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231237115200).

97995086280 is an abundant number, since it is smaller than the sum of its proper divisors (364479144120).

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

97995086280 is a wasteful number, since it uses less digits than its factorization.

97995086280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 19595520, while the sum is 63.

The spelling of 97995086280 in words is "ninety-seven billion, nine hundred ninety-five million, eighty-six thousand, two hundred eighty".