Search a number
-
+
97668522586680 = 233537411601335117
BaseRepresentation
bin10110001101010000111001…
…100110000011001000111000
3110210211000112021020101010120
4112031100321212003020320
5100300200113240233210
6543420144434213240
726400214016126313
oct2615207146031070
9423730467211116
1097668522586680
1129135a95872621
12ab54992724220
1342661435a6526
141a192788b197a
15b458b0972270
hex58d439983238

97668522586680 has 256 divisors, whose sum is σ = 308457727724160. Its totient is φ = 24707432448000.

The previous prime is 97668522586651. The next prime is 97668522586699. The reversal of 97668522586680 is 8668522586679.

It is a super-2 number, since 2×976685225866802 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 97668522586596 and 97668522586605.

It is a congruent number.

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, 291278482 + ... + 291613598.

Almost surely, 297668522586680 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 97668522586680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154228863862080).

97668522586680 is an abundant number, since it is smaller than the sum of its proper divisors (210789205137480).

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

97668522586680 is a wasteful number, since it uses less digits than its factorization.

97668522586680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336810 (or 336806 counting only the distinct ones).

The product of its (nonzero) digits is 4180377600, while the sum is 78.

The spelling of 97668522586680 in words is "ninety-seven trillion, six hundred sixty-eight billion, five hundred twenty-two million, five hundred eighty-six thousand, six hundred eighty".