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14326757046 = 23274719912157
BaseRepresentation
bin11010101011111000…
…01111011010110110
31100222110022122222100
431111330033122312
5213320122211141
610325344042530
71015013265660
oct152574173266
940873278870
1014326757046
116092098688
12293a003446
131474217844
1499ca53530
1558cb7a0b6
hex355f0f6b6

14326757046 has 96 divisors (see below), whose sum is σ = 36415641600. Its totient is φ = 3985806528.

The previous prime is 14326757023. The next prime is 14326757047. The reversal of 14326757046 is 64075762341.

14326757046 is a `hidden beast` number, since 1 + 4 + 32 + 6 + 7 + 570 + 46 = 666.

It is a super-2 number, since 2×143267570462 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 14326756992 and 14326757010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14326757047) 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, 1172400 + ... + 1184556.

It is an arithmetic number, because the mean of its divisors is an integer number (379329600).

Almost surely, 214326757046 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14326757046, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18207820800).

14326757046 is an abundant number, since it is smaller than the sum of its proper divisors (22088884554).

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

14326757046 is a wasteful number, since it uses less digits than its factorization.

14326757046 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12418 (or 12415 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The spelling of 14326757046 in words is "fourteen billion, three hundred twenty-six million, seven hundred fifty-seven thousand, forty-six".

Divisors: 1 2 3 6 7 9 14 18 21 42 47 63 94 126 141 199 282 329 398 423 597 658 846 987 1194 1393 1791 1974 2786 2961 3582 4179 5922 8358 9353 12157 12537 18706 24314 25074 28059 36471 56118 65471 72942 84177 85099 109413 130942 168354 170198 196413 218826 255297 392826 510594 571379 589239 765891 1142758 1178478 1531782 1714137 2419243 3428274 3999653 4838486 5142411 7257729 7999306 10284822 11998959 14515458 16934701 21773187 23997918 33869402 35996877 43546374 50804103 71993754 101608206 113704421 152412309 227408842 304824618 341113263 682226526 795930947 1023339789 1591861894 2046679578 2387792841 4775585682 7163378523 14326757046