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13648293078 = 2378328113933
BaseRepresentation
bin11001011011000000…
…00110110011010110
31022020011200010101020
430231200012303112
5210422430334303
610134150142010
7662134401630
oct145540066326
938204603336
1013648293078
115874118662
12278a951906
1313967a8a84
149368c3a50
1554d30da53
hex32d806cd6

13648293078 has 64 divisors (see below), whose sum is σ = 31686584832. Its totient is φ = 3838544640.

The previous prime is 13648293067. The next prime is 13648293079. The reversal of 13648293078 is 87039284631.

It is a self number, because there is not a number n which added to its sum of digits gives 13648293078.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13648293079) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 972600 + ... + 986532.

It is an arithmetic number, because the mean of its divisors is an integer number (495102888).

Almost surely, 213648293078 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13648293078, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15843292416).

13648293078 is an abundant number, since it is smaller than the sum of its proper divisors (18038291754).

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

13648293078 is a wasteful number, since it uses less digits than its factorization.

13648293078 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14309.

The product of its (nonzero) digits is 1741824, while the sum is 51.

The spelling of 13648293078 in words is "thirteen billion, six hundred forty-eight million, two hundred ninety-three thousand, seventy-eight".

Divisors: 1 2 3 6 7 14 21 42 83 166 249 281 498 562 581 843 1162 1686 1743 1967 3486 3934 5901 11802 13933 23323 27866 41799 46646 69969 83598 97531 139938 163261 195062 292593 326522 489783 585186 979566 1156439 2312878 3469317 3915173 6938634 7830346 8095073 11745519 16190146 23491038 24285219 27406211 48570438 54812422 82218633 164437266 324959359 649918718 974878077 1949756154 2274715513 4549431026 6824146539 13648293078