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14693951034 = 23276715111527
BaseRepresentation
bin11011010111101001…
…11110011000111010
31101221001021001102200
431223310332120322
5220043122413114
610430022211030
71030062344250
oct155364763072
941831231380
1014693951034
116260396994
122a20b83a76
131502310ba9
149d57185d0
155b000d409
hex36bd3e63a

14693951034 has 96 divisors (see below), whose sum is σ = 37175863296. Its totient is φ = 4107866400.

The previous prime is 14693951033. The next prime is 14693951039. The reversal of 14693951034 is 43015939641.

14693951034 is a `hidden beast` number, since 1 + 46 + 93 + 9 + 510 + 3 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (14693951033) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1268979 + ... + 1280505.

It is an arithmetic number, because the mean of its divisors is an integer number (387248576).

Almost surely, 214693951034 is an apocalyptic number.

14693951034 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14693951034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18587931648).

14693951034 is an abundant number, since it is smaller than the sum of its proper divisors (22481912262).

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

14693951034 is a wasteful number, since it uses less digits than its factorization.

14693951034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11760 (or 11757 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The spelling of 14693951034 in words is "fourteen billion, six hundred ninety-three million, nine hundred fifty-one thousand, thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 67 126 134 151 201 302 402 453 469 603 906 938 1057 1206 1359 1407 2114 2718 2814 3171 4221 6342 8442 9513 10117 11527 19026 20234 23054 30351 34581 60702 69162 70819 80689 91053 103743 141638 161378 182106 207486 212457 242067 424914 484134 637371 726201 772309 1274742 1452402 1544618 1740577 2316927 3481154 4633854 5221731 5406163 6950781 10443462 10812326 12184039 13901562 15665193 16218489 24368078 31330386 32436978 36552117 48655467 73104234 97310934 109656351 116618659 219312702 233237318 349855977 699711954 816330613 1049567931 1632661226 2099135862 2448991839 4897983678 7346975517 14693951034