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97213247712 = 25347172371193
BaseRepresentation
bin101101010001001011…
…1000111000011100000
3100021220221212122210000
41122202113013003200
53043043042411322
6112354213140000
710011014654160
oct1324227070340
9307827778700
1097213247712
1138256386939
1216a1062a600
1392233703a9
1449c2cc85a0
1527de76a3ac
hex16a25c70e0

97213247712 has 960 divisors, whose sum is σ = 367988189184. Its totient is φ = 24524881920.

The previous prime is 97213247711. The next prime is 97213247741. The reversal of 97213247712 is 21774231279.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97213247711) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 503695488 + ... + 503695680.

Almost surely, 297213247712 is an apocalyptic number.

97213247712 is a gapful number since it is divisible by the number (92) 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 97213247712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183994094592).

97213247712 is an abundant number, since it is smaller than the sum of its proper divisors (270774941472).

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

97213247712 is a wasteful number, since it uses less digits than its factorization.

97213247712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333 (or 316 counting only the distinct ones).

The product of its digits is 296352, while the sum is 45.

The spelling of 97213247712 in words is "ninety-seven billion, two hundred thirteen million, two hundred forty-seven thousand, seven hundred twelve".