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14201179956 = 22331910764679
BaseRepresentation
bin11010011100111010…
…01100111100110100
31100122201000200121000
431032131030330310
5213041000224311
610305100323300
71011630016005
oct151635147464
940581020530
1014201179956
116028217767
122903b43530
1314541ba282
1498a0c51ac
15581b22056
hex34e74cf34

14201179956 has 96 divisors (see below), whose sum is σ = 39118464000. Its totient is φ = 4442602464.

The previous prime is 14201179943. The next prime is 14201179991. The reversal of 14201179956 is 65997110241.

14201179956 is a `hidden beast` number, since 1 + 420 + 1 + 179 + 9 + 56 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 187225 + ... + 251903.

It is an arithmetic number, because the mean of its divisors is an integer number (407484000).

Almost surely, 214201179956 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 14201179956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19559232000).

14201179956 is an abundant number, since it is smaller than the sum of its proper divisors (24917284044).

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

14201179956 is a wasteful number, since it uses less digits than its factorization.

14201179956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64818 (or 64810 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 45.

The spelling of 14201179956 in words is "fourteen billion, two hundred one million, one hundred seventy-nine thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 107 108 114 171 214 228 321 342 428 513 642 684 963 1026 1284 1926 2033 2052 2889 3852 4066 5778 6099 8132 11556 12198 18297 24396 36594 54891 64679 73188 109782 129358 194037 219564 258716 388074 582111 776148 1164222 1228901 1746333 2328444 2457802 3492666 3686703 4915604 6920653 6985332 7373406 11060109 13841306 14746812 20761959 22120218 27682612 33180327 41523918 44240436 62285877 66360654 83047836 124571754 131492407 132721308 186857631 249143508 262984814 373715262 394477221 525969628 747430524 788954442 1183431663 1577908884 2366863326 3550294989 4733726652 7100589978 14201179956