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14266934656 = 271329417211
BaseRepresentation
bin11010100100110000…
…00010010110000000
31100211021202101002021
431102120002112000
5213204313402111
610315405531224
71013355641452
oct152230022600
940737671067
1014266934656
116061349197
122921b73b14
131464a00690
14994b202d2
155877aed71
hex352602580

14266934656 has 128 divisors (see below), whose sum is σ = 32441018400. Its totient is φ = 6201753600.

The previous prime is 14266934639. The next prime is 14266934723. The reversal of 14266934656 is 65643966241.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1974891 + ... + 1982101.

Almost surely, 214266934656 is an apocalyptic number.

14266934656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14266934656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16220509200).

14266934656 is an abundant number, since it is smaller than the sum of its proper divisors (18174083744).

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

14266934656 is a wasteful number, since it uses less digits than its factorization.

14266934656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7308 (or 7296 counting only the distinct ones).

The product of its digits is 5598720, while the sum is 52.

The spelling of 14266934656 in words is "fourteen billion, two hundred sixty-six million, nine hundred thirty-four thousand, six hundred fifty-six".

Divisors: 1 2 4 8 13 16 26 29 32 41 52 58 64 82 104 116 128 164 208 232 328 377 416 464 533 656 754 832 928 1066 1189 1312 1508 1664 1856 2132 2378 2624 3016 3712 4264 4756 5248 6032 7211 8528 9512 12064 14422 15457 17056 19024 24128 28844 30914 34112 38048 48256 57688 61828 68224 76096 93743 115376 123656 152192 187486 209119 230752 247312 295651 374972 418238 461504 494624 591302 749944 836476 923008 989248 1182604 1499888 1672952 1978496 2365208 2718547 2999776 3345904 3843463 4730416 5437094 5999552 6691808 7686926 8573879 9460832 10874188 11999104 13383616 15373852 17147758 18921664 21748376 26767232 30747704 34295516 37843328 43496752 61495408 68591032 86993504 111460427 122990816 137182064 173987008 222920854 245981632 274364128 347974016 445841708 491963264 548728256 891683416 1097456512 1783366832 3566733664 7133467328 14266934656