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97135147080 = 233352632811217
BaseRepresentation
bin101101001110110110…
…1001011100001001000
3100021201111220201212000
41122131231023201020
53042413044201310
6112342343151000
710006046061426
oct1323555134110
9307644821760
1097135147080
1138216292764
12169aa445460
1392101266ba
1449b6798116
1527d798e4c0
hex169db4b848

97135147080 has 256 divisors, whose sum is σ = 326439590400. Its totient is φ = 25691258880.

The previous prime is 97135147063. The next prime is 97135147127. The reversal of 97135147080 is 8074153179.

97135147080 is a `hidden beast` number, since 9 + 71 + 35 + 1 + 470 + 80 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 79814632 + ... + 79815848.

It is an arithmetic number, because the mean of its divisors is an integer number (1275154650).

Almost surely, 297135147080 is an apocalyptic number.

97135147080 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 97135147080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163219795200).

97135147080 is an abundant number, since it is smaller than the sum of its proper divisors (229304443320).

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

97135147080 is a wasteful number, since it uses less digits than its factorization.

97135147080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1781 (or 1771 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The spelling of 97135147080 in words is "ninety-seven billion, one hundred thirty-five million, one hundred forty-seven thousand, eighty".