Search a number
-
+
12650057038080 = 2834571117831123
BaseRepresentation
bin1011100000010101001000…
…1001111111100100000000
31122210100000020002011110000
42320011102021333210000
53124224304100204310
642523204520240000
72443636130453040
oct270052211774400
948710006064400
1012650057038080
11403794a458a60
1215037ba610000
13709b83b6a847
1431a3a1d9d720
1516e0cc64d4c0
hexb815227f900

12650057038080 has 2880 divisors, whose sum is σ = 60526680496128. Its totient is φ = 2441977528320.

The previous prime is 12650057038061. The next prime is 12650057038081. The reversal of 12650057038080 is 8083075005621.

12650057038080 is a `hidden beast` number, since 1 + 26 + 50 + 0 + 570 + 3 + 8 + 0 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (12650057038081) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 11264520399 + ... + 11264521521.

Almost surely, 212650057038080 is an apocalyptic number.

12650057038080 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 12650057038080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30263340248064).

12650057038080 is an abundant number, since it is smaller than the sum of its proper divisors (47876623458048).

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

12650057038080 is a wasteful number, since it uses less digits than its factorization.

12650057038080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1274 (or 1251 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 12650057038080 in words is "twelve trillion, six hundred fifty billion, fifty-seven million, thirty-eight thousand, eighty".