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5312642544 = 24321112292729
BaseRepresentation
bin1001111001010100…
…00111110111110000
3111201020200012111200
410330222013313300
541340014030134
62235100211200
7245436500526
oct47452076760
914636605450
105312642544
112286936a80
121043239b00
13668864c91
14385806316
15211611499
hex13ca87df0

5312642544 has 120 divisors (see below), whose sum is σ = 16238804400. Its totient is φ = 1607992320.

The previous prime is 5312642539. The next prime is 5312642549. The reversal of 5312642544 is 4452462135.

5312642544 is a `hidden beast` number, since 5 + 3 + 1 + 2 + 642 + 5 + 4 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (5312642539) and next prime (5312642549).

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

It is a junction number, because it is equal to n+sod(n) for n = 5312642499 and 5312642508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5312642549) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1945372 + ... + 1948100.

It is an arithmetic number, because the mean of its divisors is an integer number (135323370).

Almost surely, 25312642544 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 5312642544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8119402200).

5312642544 is an abundant number, since it is smaller than the sum of its proper divisors (10926161856).

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

5312642544 is a wasteful number, since it uses less digits than its factorization.

5312642544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3983 (or 3974 counting only the distinct ones).

The product of its digits is 115200, while the sum is 36.

The square root of 5312642544 is about 72887.8765227798. The cubic root of 5312642544 is about 1744.8986177118.

The spelling of 5312642544 in words is "five billion, three hundred twelve million, six hundred forty-two thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 132 144 176 198 264 396 528 792 1229 1584 2458 2729 3687 4916 5458 7374 8187 9832 10916 11061 13519 14748 16374 19664 21832 22122 24561 27038 29496 30019 32748 40557 43664 44244 49122 54076 58992 60038 65496 81114 88488 90057 98244 108152 120076 121671 130992 162228 176976 180114 196488 216304 240152 243342 270171 324456 360228 392976 480304 486684 540342 648912 720456 973368 1080684 1440912 1946736 2161368 3353941 4322736 6707882 10061823 13415764 20123646 26831528 30185469 36893351 40247292 53663056 60370938 73786702 80494584 110680053 120741876 147573404 160989168 221360106 241483752 295146808 332040159 442720212 482967504 590293616 664080318 885440424 1328160636 1770880848 2656321272 5312642544