Search a number
-
+
126848509696 = 283076072659
BaseRepresentation
bin111011000100011000…
…0101010011100000000
3110010102021211221122201
41312020300222130000
54034241204302241
6134135015442544
712110265353656
oct1661060523400
9403367757581
10126848509696
1149883749897
1220701386454
13bc66cbbc7c
1461d4b0add6
153476348931
hex1d88c2a700

126848509696 has 72 divisors (see below), whose sum is σ = 254540464640. Its totient is φ = 63089777664.

The previous prime is 126848509673. The next prime is 126848509699. The reversal of 126848509696 is 696905848621.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126848509699) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47704015 + ... + 47706673.

Almost surely, 2126848509696 is an apocalyptic number.

126848509696 is a gapful number since it is divisible by the number (16) 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 126848509696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127270232320).

126848509696 is an abundant number, since it is smaller than the sum of its proper divisors (127691954944).

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

126848509696 is an equidigital number, since it uses as much as digits as its factorization.

126848509696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3589 (or 3575 counting only the distinct ones).

The product of its (nonzero) digits is 44789760, while the sum is 64.

The spelling of 126848509696 in words is "one hundred twenty-six billion, eight hundred forty-eight million, five hundred nine thousand, six hundred ninety-six".

Divisors: 1 2 4 8 16 32 64 128 256 307 607 614 1214 1228 2428 2456 2659 4856 4912 5318 9712 9824 10636 19424 19648 21272 38848 39296 42544 77696 78592 85088 155392 170176 186349 340352 372698 680704 745396 816313 1490792 1614013 1632626 2981584 3228026 3265252 5963168 6456052 6530504 11926336 12912104 13061008 23852672 25824208 26122016 47705344 51648416 52244032 103296832 104488064 206593664 208976128 413187328 495501991 991003982 1982007964 3964015928 7928031856 15856063712 31712127424 63424254848 126848509696