Search a number
-
+
5310433878624 = 2532711032388163
BaseRepresentation
bin100110101000110111010…
…0001100110001001100000
3200210200011021020002212100
41031101232201212021200
51144001232033103444
615143325111530400
71055444334122640
oct115215641461140
920720137202770
105310433878624
111768162533246
12719245689a00
132c6a05754144
14145052510520
159320ade4e69
hex4d46e866260

5310433878624 has 144 divisors (see below), whose sum is σ = 17274564582912. Its totient is φ = 1515890605824.

The previous prime is 5310433878601. The next prime is 5310433878653. The reversal of 5310433878624 is 4268783340135.

It is a happy number.

5310433878624 is a `hidden beast` number, since 5 + 3 + 1 + 0 + 4 + 3 + 3 + 8 + 7 + 8 + 624 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1029567 + ... + 3417729.

It is an arithmetic number, because the mean of its divisors is an integer number (119962254048).

Almost surely, 25310433878624 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5310433878624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8637282291456).

5310433878624 is an abundant number, since it is smaller than the sum of its proper divisors (11964130704288).

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

5310433878624 is a wasteful number, since it uses less digits than its factorization.

5310433878624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2389289 (or 2389278 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 5310433878624 in words is "five trillion, three hundred ten billion, four hundred thirty-three million, eight hundred seventy-eight thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 1103 2016 2206 3309 4412 6618 7721 8824 9927 13236 15442 17648 19854 23163 26472 30884 35296 39708 46326 52944 61768 69489 79416 92652 105888 123536 138978 158832 185304 247072 277956 317664 370608 555912 741216 1111824 2223648 2388163 4776326 7164489 9552652 14328978 16717141 19105304 21493467 28657956 33434282 38210608 42986934 50151423 57315912 66868564 76421216 85973868 100302846 114631824 133737128 150454269 171947736 200605692 229263648 267474256 300908538 343895472 401211384 534948512 601817076 687790944 802422768 1203634152 1604845536 2407268304 2634143789 4814536608 5268287578 7902431367 10536575156 15804862734 18439006523 21073150312 23707294101 31609725468 36878013046 42146300624 47414588202 55317019569 63219450936 73756026092 84292601248 94829176404 110634039138 126438901872 147512052184 165951058707 189658352808 221268078276 252877803744 295024104368 331902117414 379316705616 442536156552 590048208736 663804234828 758633411232 885072313104 1327608469656 1770144626208 2655216939312 5310433878624