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14693075352 = 233446348973
BaseRepresentation
bin11011010111100011…
…01000100110011000
31101220222121120020000
431223301220212120
5220042411402402
610425551333000
71030052036244
oct155361504630
941828546200
1014693075352
11625a948a8a
122a20821160
131502095437
149d556b424
155aedd8c1c
hex36bc68998

14693075352 has 80 divisors (see below), whose sum is σ = 41243943840. Its totient is φ = 4887013824.

The previous prime is 14693075347. The next prime is 14693075357. The reversal of 14693075352 is 25357039641.

14693075352 is a `hidden beast` number, since 146 + 93 + 0 + 75 + 352 = 666.

14693075352 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (14693075347) and next prime (14693075357).

It is a junction number, because it is equal to n+sod(n) for n = 14693075298 and 14693075307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14693075357) 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 19 ways as a sum of consecutive naturals, for example, 275538 + ... + 324510.

It is an arithmetic number, because the mean of its divisors is an integer number (515549298).

Almost surely, 214693075352 is an apocalyptic number.

14693075352 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 14693075352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20621971920).

14693075352 is an abundant number, since it is smaller than the sum of its proper divisors (26550868488).

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

14693075352 is a wasteful number, since it uses less digits than its factorization.

14693075352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49454 (or 49441 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 45.

The spelling of 14693075352 in words is "fourteen billion, six hundred ninety-three million, seventy-five thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 463 648 926 1389 1852 2778 3704 4167 5556 8334 11112 12501 16668 25002 33336 37503 48973 50004 75006 97946 100008 146919 150012 195892 293838 300024 391784 440757 587676 881514 1175352 1322271 1763028 2644542 3526056 3966813 5289084 7933626 10578168 15867252 22674499 31734504 45348998 68023497 90697996 136046994 181395992 204070491 272093988 408140982 544187976 612211473 816281964 1224422946 1632563928 1836634419 2448845892 3673268838 4897691784 7346537676 14693075352