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97867019520 = 2832518114691
BaseRepresentation
bin101101100100101010…
…1000011010100000000
3100100121112001201002200
41123021111003110000
53100412424111040
6112543125513200
710033143640344
oct1331125032400
9310545051080
1097867019520
1138561421316
1216b73572800
1392c894510a
144a45a6b624
15282bd5a630
hex16c9543500

97867019520 has 216 divisors, whose sum is σ = 338868889632. Its totient is φ = 26077900800.

The previous prime is 97867019513. The next prime is 97867019521. The reversal of 97867019520 is 2591076879.

It is a super-2 number, since 2×978670195202 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97867019521) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20860375 + ... + 20865065.

It is an arithmetic number, because the mean of its divisors is an integer number (1568837452).

Almost surely, 297867019520 is an apocalyptic number.

97867019520 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 97867019520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169434444816).

97867019520 is an abundant number, since it is smaller than the sum of its proper divisors (241001870112).

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

97867019520 is a wasteful number, since it uses less digits than its factorization.

97867019520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6529 (or 6512 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 54.

The spelling of 97867019520 in words is "ninety-seven billion, eight hundred sixty-seven million, nineteen thousand, five hundred twenty".