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97135814412 = 223371317641907
BaseRepresentation
bin101101001110110111…
…1101110011100001100
3100021201120011122021000
41122131233232130030
53042413232030122
6112342405340300
710006054541130
oct1323557563414
9307646148230
1097135814412
11382166a907a
12169aa707690
1392102cb380
1449b68cd3c0
1527d7a720ac
hex169dbee70c

97135814412 has 384 divisors, whose sum is σ = 329055713280. Its totient is φ = 24047124480.

The previous prime is 97135814383. The next prime is 97135814441. The reversal of 97135814412 is 21441853179.

97135814412 is a `hidden beast` number, since 9 + 7 + 13 + 581 + 44 + 12 = 666.

It is an interprime number because it is at equal distance from previous prime (97135814383) and next prime (97135814441).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 107095263 + ... + 107096169.

It is an arithmetic number, because the mean of its divisors is an integer number (856915920).

Almost surely, 297135814412 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 97135814412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164527856640).

97135814412 is an abundant number, since it is smaller than the sum of its proper divisors (231919898868).

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

97135814412 is a wasteful number, since it uses less digits than its factorization.

97135814412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1598 (or 1590 counting only the distinct ones).

The product of its digits is 241920, while the sum is 45.

The spelling of 97135814412 in words is "ninety-seven billion, one hundred thirty-five million, eight hundred fourteen thousand, four hundred twelve".