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14179074368 = 261916097247
BaseRepresentation
bin11010011010010001…
…11000000101000000
31100121011102121102112
431031020320011000
5213014320334433
610302550434452
71011241100144
oct151510700500
940534377375
1014179074368
116016799488
1228b8662a28
13144c74a644
149871ad224
1557ec07348
hex34d238140

14179074368 has 56 divisors (see below), whose sum is σ = 29639971200. Its totient is φ = 6711303168.

The previous prime is 14179074361. The next prime is 14179074421. The reversal of 14179074368 is 86347097141.

It is a super-2 number, since 2×141790743682 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14179074361) 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, 1952921 + ... + 1960167.

It is an arithmetic number, because the mean of its divisors is an integer number (529285200).

Almost surely, 214179074368 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 14179074368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14819985600).

14179074368 is an abundant number, since it is smaller than the sum of its proper divisors (15460896832).

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

14179074368 is a wasteful number, since it uses less digits than its factorization.

14179074368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8887 (or 8877 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 50.

The spelling of 14179074368 in words is "fourteen billion, one hundred seventy-nine million, seventy-four thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 16 19 32 38 64 76 152 304 608 1216 1609 3218 6436 7247 12872 14494 25744 28988 30571 51488 57976 61142 102976 115952 122284 137693 231904 244568 275386 463808 489136 550772 978272 1101544 1956544 2203088 4406176 8812352 11660423 23320846 46641692 93283384 186566768 221548037 373133536 443096074 746267072 886192148 1772384296 3544768592 7089537184 14179074368