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14377472296 = 2311414099743
BaseRepresentation
bin11010110001111011…
…01101000100101000
31101002222202021012221
431120331231010220
5213421113103141
610334355043424
71016200332565
oct153075550450
941088667187
1014377472296
116108787810
122952ba0574
131481893675
149a569586c
15592346bd1
hex358f6d128

14377472296 has 64 divisors (see below), whose sum is σ = 30202502400. Its totient is φ = 6359577600.

The previous prime is 14377472281. The next prime is 14377472297. The reversal of 14377472296 is 69227477341.

14377472296 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (14377472297) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1470801 + ... + 1480543.

It is an arithmetic number, because the mean of its divisors is an integer number (471914100).

Almost surely, 214377472296 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14377472296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15101251200).

14377472296 is an abundant number, since it is smaller than the sum of its proper divisors (15825030104).

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

14377472296 is a wasteful number, since it uses less digits than its factorization.

14377472296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10210 (or 10206 counting only the distinct ones).

The product of its digits is 3556224, while the sum is 52.

The spelling of 14377472296 in words is "fourteen billion, three hundred seventy-seven million, four hundred seventy-two thousand, two hundred ninety-six".

Divisors: 1 2 4 8 11 22 41 44 82 88 164 328 409 451 818 902 1636 1804 3272 3608 4499 8998 9743 16769 17996 19486 33538 35992 38972 67076 77944 107173 134152 184459 214346 368918 399463 428692 737836 798926 857384 1475672 1597852 3195704 3984887 4394093 7969774 8788186 15939548 17576372 31879096 35152744 43833757 87667514 163380367 175335028 326760734 350670056 653521468 1307042936 1797184037 3594368074 7188736148 14377472296