Search a number
-
+
1297685631060 = 2234571319463297
BaseRepresentation
bin10010111000100100000…
…101110101000001010100
311121001112221110022220000
4102320210011311001110
5132230130010143220
62432052030411300
7162516600603150
oct22704405650124
94531487408800
101297685631060
11460388787595
1218b600360b30
13954a9790c70
1446b4605a060
1523b50b66390
hex12e24175054

1297685631060 has 480 divisors, whose sum is σ = 5274036176640. Its totient is φ = 259386458112.

The previous prime is 1297685631059. The next prime is 1297685631071. The reversal of 1297685631060 is 601365867921.

1297685631060 is a `hidden beast` number, since 1 + 2 + 9 + 7 + 6 + 8 + 563 + 10 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 1297685630988 and 1297685631006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2569332 + ... + 3032628.

It is an arithmetic number, because the mean of its divisors is an integer number (10987575368).

Almost surely, 21297685631060 is an apocalyptic number.

1297685631060 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 1297685631060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2637018088320).

1297685631060 is an abundant number, since it is smaller than the sum of its proper divisors (3976350545580).

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

1297685631060 is a wasteful number, since it uses less digits than its factorization.

1297685631060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 463357 (or 463346 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 1297685631060 in words is "one trillion, two hundred ninety-seven billion, six hundred eighty-five million, six hundred thirty-one thousand, sixty".