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5312540556 = 22323112737483
BaseRepresentation
bin1001111001010011…
…01110111110001100
3111201020111000121100
410330221232332030
541340002244211
62235054103100
7245435564301
oct47451567614
914636430540
105312540556
112286877394
1210431aaa90
1366882a72b
143857bb0a8
152115e1156
hex13ca6ef8c

5312540556 has 72 divisors (see below), whose sum is σ = 13971636224. Its totient is φ = 1700183520.

The previous prime is 5312540509. The next prime is 5312540561. The reversal of 5312540556 is 6550452135.

5312540556 is a `hidden beast` number, since 53 + 1 + 2 + 54 + 0 + 556 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 5312540556.

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 23 ways as a sum of consecutive naturals, for example, 122991 + ... + 160473.

Almost surely, 25312540556 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 5312540556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6985818112).

5312540556 is an abundant number, since it is smaller than the sum of its proper divisors (8659095668).

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

5312540556 is a wasteful number, since it uses less digits than its factorization.

5312540556 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37651 (or 37646 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 36.

The square root of 5312540556 is about 72887.1768969000. The cubic root of 5312540556 is about 1744.8874519026.

The spelling of 5312540556 in words is "five billion, three hundred twelve million, five hundred forty thousand, five hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 93 124 127 186 254 279 372 381 508 558 762 1116 1143 1524 2286 3937 4572 7874 11811 15748 23622 35433 37483 47244 70866 74966 112449 141732 149932 224898 337347 449796 674694 1161973 1349388 2323946 3485919 4647892 4760341 6971838 9520682 10457757 13943676 14281023 19041364 20915514 28562046 41831028 42843069 57124092 85686138 147570571 171372276 295141142 442711713 590282284 885423426 1328135139 1770846852 2656270278 5312540556