Search a number
-
+
1269970446420 = 2233513503359657
BaseRepresentation
bin10010011110110000001…
…000110010100001010100
311111102000102110001222000
4102132300020302201110
5131301344413241140
62411225534035300
7160516023453444
oct22366010624124
94442012401860
101269970446420
1144a656233115
12186166648b30
13929b0885620
144567724a124
152307c90ea30
hex127b0232854

1269970446420 has 192 divisors, whose sum is σ = 4263414704640. Its totient is φ = 311985755136.

The previous prime is 1269970446379. The next prime is 1269970446443. The reversal of 1269970446420 is 246440799621.

1269970446420 is a `hidden beast` number, since 1 + 2 + 6 + 99 + 70 + 4 + 464 + 20 = 666.

It is a super-2 number, since 2×12699704464202 (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3351232 + ... + 3710888.

It is an arithmetic number, because the mean of its divisors is an integer number (22205284920).

Almost surely, 21269970446420 is an apocalyptic number.

1269970446420 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 1269970446420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2131707352320).

1269970446420 is an abundant number, since it is smaller than the sum of its proper divisors (2993444258220).

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

1269970446420 is a wasteful number, since it uses less digits than its factorization.

1269970446420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360191 (or 360183 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 1269970446420 in words is "one trillion, two hundred sixty-nine billion, nine hundred seventy million, four hundred forty-six thousand, four hundred twenty".