Search a number
-
+
10081426680 = 23325134745833
BaseRepresentation
bin10010110001110011…
…00101110011111000
3222000120222112112100
421120321211303320
5131121321123210
64344211543400
7504553466343
oct113071456370
928016875470
1010081426680
114303780096
121b542bab60
13c4882a040
146b8cbb45a
153e00e45c0
hex258e65cf8

10081426680 has 192 divisors, whose sum is σ = 36036524160. Its totient is φ = 2428729344.

The previous prime is 10081426679. The next prime is 10081426681. The reversal of 10081426680 is 8662418001.

It is an interprime number because it is at equal distance from previous prime (10081426679) and next prime (10081426681).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10081426681) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 197044 + ... + 242876.

It is an arithmetic number, because the mean of its divisors is an integer number (187690230).

Almost surely, 210081426680 is an apocalyptic number.

10081426680 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 10081426680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18018262080).

10081426680 is an abundant number, since it is smaller than the sum of its proper divisors (25955097480).

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

10081426680 is a wasteful number, since it uses less digits than its factorization.

10081426680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45910 (or 45903 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 10081426680 in words is "ten billion, eighty-one million, four hundred twenty-six thousand, six hundred eighty".