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97337396520 = 233357213151937
BaseRepresentation
bin101101010100111000…
…0101100110100101000
3100022020121111001221000
41122221300230310220
53043321333142040
6112414410115000
710014053135100
oct1325160546450
9308217431830
1097337396520
113830a471761
1216a4611ba60
139242cba820
1449d55a4200
1527ea5e0130
hex16a9c2cd28

97337396520 has 768 divisors, whose sum is σ = 409592332800. Its totient is φ = 20379340800.

The previous prime is 97337396483. The next prime is 97337396531. The reversal of 97337396520 is 2569373379.

It is a super-2 number, since 2×973373965202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 191 ways as a sum of consecutive naturals, for example, 103881492 + ... + 103882428.

It is an arithmetic number, because the mean of its divisors is an integer number (533323350).

Almost surely, 297337396520 is an apocalyptic number.

97337396520 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 97337396520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204796166400).

97337396520 is an abundant number, since it is smaller than the sum of its proper divisors (312254936280).

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

97337396520 is a wasteful number, since it uses less digits than its factorization.

97337396520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1135 (or 1118 counting only the distinct ones).

The product of its (nonzero) digits is 6429780, while the sum is 54.

The spelling of 97337396520 in words is "ninety-seven billion, three hundred thirty-seven million, three hundred ninety-six thousand, five hundred twenty".