Search a number
-
+
860101678080 = 210325107174443
BaseRepresentation
bin11001000010000100000…
…11100001010000000000
310001020001222001022211200
430201002003201100000
5103042442012144310
61455043015541200
7116066056431201
oct14410203412000
93036058038750
10860101678080
11301848a7a027
1211a83a38a800
13631517b70b8
142d8b45255a8
151758e92b9c0
hexc8420e1400

860101678080 has 264 divisors, whose sum is σ = 3008099776032. Its totient is φ = 227215589376.

The previous prime is 860101678057. The next prime is 860101678081. The reversal of 860101678080 is 80876101068.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (860101678081) 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, 4843339 + ... + 5017781.

Almost surely, 2860101678080 is an apocalyptic number.

860101678080 is a gapful number since it is divisible by the number (80) 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 860101678080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1504049888016).

860101678080 is an abundant number, since it is smaller than the sum of its proper divisors (2147998097952).

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

860101678080 is a wasteful number, since it uses less digits than its factorization.

860101678080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174581 (or 174560 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

The spelling of 860101678080 in words is "eight hundred sixty billion, one hundred one million, six hundred seventy-eight thousand, eighty".