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14396645376 = 2133365089
BaseRepresentation
bin11010110100001101…
…10110000000000000
31101011022211100202000
431122012312000000
5213441020123001
610340322024000
71016522316021
oct153206660000
941138740660
1014396645376
116118592833
1229594a8000
131485847599
149a8046c48
15593d82a86
hex35a1b6000

14396645376 has 112 divisors (see below), whose sum is σ = 42654778800. Its totient is φ = 4798808064.

The previous prime is 14396645371. The next prime is 14396645399. The reversal of 14396645376 is 67354669341.

14396645376 is a `hidden beast` number, since 1 + 43 + 9 + 6 + 64 + 537 + 6 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14396645371) 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, 188640 + ... + 253728.

Almost surely, 214396645376 is an apocalyptic number.

14396645376 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 14396645376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21327389400).

14396645376 is an abundant number, since it is smaller than the sum of its proper divisors (28258133424).

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

14396645376 is an frugal number, since it uses more digits than its factorization.

14396645376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65124 (or 65094 counting only the distinct ones).

The product of its digits is 9797760, while the sum is 54.

The spelling of 14396645376 in words is "fourteen billion, three hundred ninety-six million, six hundred forty-five thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 512 576 768 864 1024 1152 1536 1728 2048 2304 3072 3456 4096 4608 6144 6912 8192 9216 12288 13824 18432 24576 27648 36864 55296 65089 73728 110592 130178 195267 221184 260356 390534 520712 585801 781068 1041424 1171602 1562136 1757403 2082848 2343204 3124272 3514806 4165696 4686408 6248544 7029612 8331392 9372816 12497088 14059224 16662784 18745632 24994176 28118448 33325568 37491264 49988352 56236896 66651136 74982528 99976704 112473792 133302272 149965056 199953408 224947584 266604544 299930112 399906816 449895168 533209088 599860224 799813632 899790336 1199720448 1599627264 1799580672 2399440896 3599161344 4798881792 7198322688 14396645376