Search a number
-
+
117097788487680 = 211325711213257449
BaseRepresentation
bin11010100111111111110100…
…000101100011100000000000
3120100121102212012210122011100
4122213333310011203200000
5110322012232323101210
61053013551552014400
733444015234310560
oct3247776405434000
9510542765718140
10117097788487680
1134346990960700
1211172404531400
1350453741a6b40
1420cb7c5600da0
15d80eaee085c0
hex6a7ff4163800

117097788487680 has 3456 divisors, whose sum is σ = 552395830896000. Its totient is φ = 22323092520960.

The previous prime is 117097788487649. The next prime is 117097788487681. The reversal of 117097788487680 is 86784887790711.

117097788487680 is a `hidden beast` number, since 1 + 1 + 7 + 0 + 9 + 7 + 78 + 8 + 487 + 68 + 0 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 117097788487680.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117097788487681) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 260796856096 + ... + 260796856544.

It is an arithmetic number, because the mean of its divisors is an integer number (159836756625).

Almost surely, 2117097788487680 is an apocalyptic number.

117097788487680 is a gapful number since it is divisible by the number (10) 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 117097788487680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276197915448000).

117097788487680 is an abundant number, since it is smaller than the sum of its proper divisors (435298042408320).

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

117097788487680 is a wasteful number, since it uses less digits than its factorization.

117097788487680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 781 (or 747 counting only the distinct ones).

The product of its (nonzero) digits is 2124251136, while the sum is 81.

The spelling of 117097788487680 in words is "one hundred seventeen trillion, ninety-seven billion, seven hundred eighty-eight million, four hundred eighty-seven thousand, six hundred eighty".