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14377356348 = 22317411819497
BaseRepresentation
bin11010110001111010…
…10000110000111100
31101002222112101011120
431120331100300330
5213421100400343
610334352350540
71016166340545
oct153075206074
941088471146
1014377356348
116108708693
122952b45450
131481852964
149a56654cc
15592322683
hex358f50c3c

14377356348 has 96 divisors (see below), whose sum is σ = 36591766848. Its totient is φ = 4375756800.

The previous prime is 14377356341. The next prime is 14377356349. The reversal of 14377356348 is 84365377341.

14377356348 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 14377356348.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14377356341) 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 31 ways as a sum of consecutive naturals, for example, 1509136 + ... + 1518632.

It is an arithmetic number, because the mean of its divisors is an integer number (381164238).

Almost surely, 214377356348 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 14377356348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18295883424).

14377356348 is an abundant number, since it is smaller than the sum of its proper divisors (22214410500).

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

14377356348 is a wasteful number, since it uses less digits than its factorization.

14377356348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9743 (or 9741 counting only the distinct ones).

The product of its digits is 5080320, while the sum is 51.

The spelling of 14377356348 in words is "fourteen billion, three hundred seventy-seven million, three hundred fifty-six thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 12 17 34 41 51 68 82 102 123 164 181 204 246 362 492 543 697 724 1086 1394 2091 2172 2788 3077 4182 6154 7421 8364 9231 9497 12308 14842 18462 18994 22263 28491 29684 36924 37988 44526 56982 89052 113964 126157 161449 252314 322898 378471 389377 484347 504628 645796 756942 778754 968694 1168131 1513884 1557508 1718957 1937388 2336262 3437914 4672524 5156871 6619409 6875828 10313742 13238818 19858227 20627484 26477636 29222269 39716454 58444538 70477237 79432908 87666807 116889076 140954474 175333614 211431711 281908948 350667228 422863422 845726844 1198113029 2396226058 3594339087 4792452116 7188678174 14377356348