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7345528704 = 27327980713
BaseRepresentation
bin1101101011101001…
…11101111110000000
3200221220220112001200
412311310331332000
5110020423404304
63212520101200
7350012651403
oct66564757600
920856815050
107345528704
11312a3a5488
121510004800
13900a84bb7
144d97c1d3a
152ced1ce39
hex1b5d3df80

7345528704 has 96 divisors (see below), whose sum is σ = 21405352800. Its totient is φ = 2417485824.

The previous prime is 7345528681. The next prime is 7345528769. The reversal of 7345528704 is 4078255437.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 7345528704.

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 11 ways as a sum of consecutive naturals, for example, 50652 + ... + 131364.

It is an arithmetic number, because the mean of its divisors is an integer number (222972425).

Almost surely, 27345528704 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 7345528704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10702676400).

7345528704 is an abundant number, since it is smaller than the sum of its proper divisors (14059824096).

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

7345528704 is a wasteful number, since it uses less digits than its factorization.

7345528704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80812 (or 80797 counting only the distinct ones).

The product of its (nonzero) digits is 940800, while the sum is 45.

The square root of 7345528704 is about 85706.0599024363. The cubic root of 7345528704 is about 1943.9019408954.

The spelling of 7345528704 in words is "seven billion, three hundred forty-five million, five hundred twenty-eight thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 79 96 128 144 158 192 237 288 316 384 474 576 632 711 948 1152 1264 1422 1896 2528 2844 3792 5056 5688 7584 10112 11376 15168 22752 30336 45504 80713 91008 161426 242139 322852 484278 645704 726417 968556 1291408 1452834 1937112 2582816 2905668 3874224 5165632 5811336 6376327 7748448 10331264 11622672 12752654 15496896 19128981 23245344 25505308 30993792 38257962 46490688 51010616 57386943 76515924 92981376 102021232 114773886 153031848 204042464 229547772 306063696 408084928 459095544 612127392 816169856 918191088 1224254784 1836382176 2448509568 3672764352 7345528704