Search a number
-
+
14734206564 = 22371119839269
BaseRepresentation
bin11011011100011101…
…00010011001100100
31102000212000020122020
431232032202121210
5220133424102224
610434021103140
71031061455310
oct155616423144
942025006566
1014734206564
116281091520
122a32557ab0
13150a766b2c
149dabd6b40
155b3810c79
hex36e3a2664

14734206564 has 96 divisors (see below), whose sum is σ = 45119155200. Its totient is φ = 3625637760.

The previous prime is 14734206511. The next prime is 14734206653. The reversal of 14734206564 is 46560243741.

It is a happy number.

14734206564 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 402079 + ... + 437190.

It is an arithmetic number, because the mean of its divisors is an integer number (469991200).

Almost surely, 214734206564 is an apocalyptic number.

14734206564 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

14734206564 is an abundant number, since it is smaller than the sum of its proper divisors (30384948636).

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

14734206564 is a wasteful number, since it uses less digits than its factorization.

14734206564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 839313 (or 839311 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 42.

The spelling of 14734206564 in words is "fourteen billion, seven hundred thirty-four million, two hundred six thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 7 11 12 14 19 21 22 28 33 38 42 44 57 66 76 77 84 114 132 133 154 209 228 231 266 308 399 418 462 532 627 798 836 924 1254 1463 1596 2508 2926 4389 5852 8778 17556 839269 1678538 2517807 3357076 5035614 5874883 9231959 10071228 11749766 15946111 17624649 18463918 23499532 27695877 31892222 35249298 36927836 47838333 55391754 63784444 64623713 70498596 95676666 110783508 111622777 129247426 175407221 191353332 193871139 223245554 258494852 334868331 350814442 387742278 446491108 526221663 669736662 701628884 775484556 1052443326 1227850547 1339473324 2104886652 2455701094 3683551641 4911402188 7367103282 14734206564