Search a number
-
+
14701906782 = 235171779461
BaseRepresentation
bin11011011000100110…
…10100101101011110
31101221121020020200000
431230103110231132
5220102142004112
610430504515130
71030220100663
oct155423245536
941847206600
1014701906782
116264930192
122a2377baa6
131503b68134
149d67c9a6a
155b0a807dc
hex36c4d4b5e

14701906782 has 48 divisors (see below), whose sum is σ = 34977105072. Its totient is φ = 4612360320.

The previous prime is 14701906721. The next prime is 14701906783. The reversal of 14701906782 is 28760910741.

It is a happy number.

It is a super-2 number, since 2×147019067822 (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 (14701906783) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 881469 + ... + 897992.

It is an arithmetic number, because the mean of its divisors is an integer number (728689689).

Almost surely, 214701906782 is an apocalyptic number.

14701906782 is an abundant number, since it is smaller than the sum of its proper divisors (20275198290).

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

14701906782 is a wasteful number, since it uses less digits than its factorization.

14701906782 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1779495 (or 1779483 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The spelling of 14701906782 in words is "fourteen billion, seven hundred one million, nine hundred six thousand, seven hundred eighty-two".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 81 102 153 162 243 306 459 486 918 1377 2754 4131 8262 1779461 3558922 5338383 10676766 16015149 30250837 32030298 48045447 60501674 90752511 96090894 144136341 181505022 272257533 288272682 432409023 544515066 816772599 864818046 1633545198 2450317797 4900635594 7350953391 14701906782