Search a number
-
+
69296280109056 = 2163872111323
BaseRepresentation
bin11111100000110010011000…
…01010010000000000000000
3100002100122210220111100000000
433300121030022100000000
533040322240201442211
6403214134400000000
720411330264166300
oct1760311412200000
9302318726440000
1069296280109056
11200974296313a0
127932100000000
132c887c39a0580
141317d5a4c3600
1580284e098656
hex3f064c290000

69296280109056 has 3672 divisors, whose sum is σ = 296443016460864. Its totient is φ = 15892123484160.

The previous prime is 69296280109013. The next prime is 69296280109087. The reversal of 69296280109056 is 65090108269296.

69296280109056 is a `hidden beast` number, since 6 + 9 + 296 + 280 + 10 + 9 + 0 + 56 = 666.

It is a super-2 number, since 2×692962801090562 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 69296280108984 and 69296280109002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 3012881743861 + ... + 3012881743883.

Almost surely, 269296280109056 is an apocalyptic number.

69296280109056 is a gapful number since it is divisible by the number (66) 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 69296280109056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148221508230432).

69296280109056 is an abundant number, since it is smaller than the sum of its proper divisors (227146736351808).

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

69296280109056 is an frugal number, since it uses more digits than its factorization.

69296280109056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 25194240, while the sum is 63.

The spelling of 69296280109056 in words is "sixty-nine trillion, two hundred ninety-six billion, two hundred eighty million, one hundred nine thousand, fifty-six".