Search a number
-
+
96883080178896 = 24341120993237709
BaseRepresentation
bin10110000001110101011001…
…100101000010110011010000
3110201000221011102202221110000
4112001311121211002303100
5100144313022011211041
6542015250025410000
726256400020615144
oct2601653145026320
9421027142687400
1096883080178896
112896297a02a380
12aa4870b639900
13420a05c606b5b
1419cd247acb224
15b30240705bb6
hex581d59942cd0

96883080178896 has 200 divisors, whose sum is σ = 306045185292000. Its totient is φ = 29344513178880.

The previous prime is 96883080178889. The next prime is 96883080178897. The reversal of 96883080178896 is 69887108038869.

96883080178896 is a `hidden beast` number, since 9 + 68 + 8 + 308 + 0 + 178 + 89 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96883080178897) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 28304490 + ... + 31542198.

It is an arithmetic number, because the mean of its divisors is an integer number (1530225926460).

Almost surely, 296883080178896 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 96883080178896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153022592646000).

96883080178896 is an abundant number, since it is smaller than the sum of its proper divisors (209162105113104).

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

96883080178896 is a wasteful number, since it uses less digits than its factorization.

96883080178896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3239839 (or 3239824 counting only the distinct ones).

The product of its (nonzero) digits is 2006581248, while the sum is 81.

The spelling of 96883080178896 in words is "ninety-six trillion, eight hundred eighty-three billion, eighty million, one hundred seventy-eight thousand, eight hundred ninety-six".