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97027606080 = 2635517292531
BaseRepresentation
bin101101001011101001…
…0111100011001000000
3100021110000120002100000
41122113102330121000
53042203031343310
6112323542200000
710003302021006
oct1322722743100
9307400502300
1097027606080
11381706105a9
121697a423000
1391c3a72682
1449a63a2a76
1527cd2ea4c0
hex16974bc640

97027606080 has 672 divisors, whose sum is σ = 379239719040. Its totient is φ = 23503011840.

The previous prime is 97027606061. The next prime is 97027606163. The reversal of 97027606080 is 8060672079.

It is a happy number.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 38334415 + ... + 38336945.

It is an arithmetic number, because the mean of its divisors is an integer number (564344820).

Almost surely, 297027606080 is an apocalyptic number.

97027606080 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 97027606080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189619859520).

97027606080 is an abundant number, since it is smaller than the sum of its proper divisors (282212112960).

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

97027606080 is a wasteful number, since it uses less digits than its factorization.

97027606080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2609 (or 2587 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 97027606080 in words is "ninety-seven billion, twenty-seven million, six hundred six thousand, eighty".