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14363924352 = 273233160541
BaseRepresentation
bin11010110000010100…
…00001011110000000
31101002001020221221020
431120022001132000
5213404131034402
610333152425440
71015644225321
oct153012013600
941061227836
1014363924352
116101073a68
12294a548280
13147bb2bc2b
149a396a448
1559106c8bc
hex358281780

14363924352 has 64 divisors (see below), whose sum is σ = 38318164560. Its totient is φ = 4767395840.

The previous prime is 14363924347. The next prime is 14363924353. The reversal of 14363924352 is 25342936341.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14363924353) 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, 9202 + ... + 169742.

Almost surely, 214363924352 is an apocalyptic number.

14363924352 is a gapful number since it is divisible by the number (12) 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 14363924352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19159082280).

14363924352 is an abundant number, since it is smaller than the sum of its proper divisors (23954240208).

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

14363924352 is a wasteful number, since it uses less digits than its factorization.

14363924352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160791 (or 160779 counting only the distinct ones).

The product of its digits is 466560, while the sum is 42.

The spelling of 14363924352 in words is "fourteen billion, three hundred sixty-three million, nine hundred twenty-four thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 233 384 466 699 932 1398 1864 2796 3728 5592 7456 11184 14912 22368 29824 44736 89472 160541 321082 481623 642164 963246 1284328 1926492 2568656 3852984 5137312 7705968 10274624 15411936 20549248 30823872 37406053 61647744 74812106 112218159 149624212 224436318 299248424 448872636 598496848 897745272 1196993696 1795490544 2393987392 3590981088 4787974784 7181962176 14363924352