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14122917564 = 2237414100731
BaseRepresentation
bin11010010011100101…
…01001111010111100
31100110020202112202220
431021302221322330
5212410431330224
610253223045340
71006656550530
oct151162517274
940406675686
1014122917564
115a98022aa8
1228a18a0850
131440c17a72
1497d951bc0
15579d13279
hex349ca9ebc

14122917564 has 48 divisors (see below), whose sum is σ = 38579686656. Its totient is φ = 3936700800.

The previous prime is 14122917527. The next prime is 14122917581. The reversal of 14122917564 is 46571922141.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2046922 + ... + 2053809.

It is an arithmetic number, because the mean of its divisors is an integer number (803743472).

Almost surely, 214122917564 is an apocalyptic number.

14122917564 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

14122917564 is an abundant number, since it is smaller than the sum of its proper divisors (24456769092).

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

14122917564 is a wasteful number, since it uses less digits than its factorization.

14122917564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4100786 (or 4100784 counting only the distinct ones).

The product of its digits is 120960, while the sum is 42.

The spelling of 14122917564 in words is "fourteen billion, one hundred twenty-two million, nine hundred seventeen thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 41 42 82 84 123 164 246 287 492 574 861 1148 1722 3444 4100731 8201462 12302193 16402924 24604386 28705117 49208772 57410234 86115351 114820468 168129971 172230702 336259942 344461404 504389913 672519884 1008779826 1176909797 2017559652 2353819594 3530729391 4707639188 7061458782 14122917564