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5036247680 = 27514952813
BaseRepresentation
bin1001011000010111…
…10000101010000000
3110222222120220000212
410230023300222000
540303234411210
62151424133252
7235542253562
oct45413605200
913888526025
105036247680
112154915472
12b86767228
13623510519
1435ac19332
151e7216805
hex12c2f0a80

5036247680 has 64 divisors (see below), whose sum is σ = 12120813000. Its totient is φ = 2000941056.

The previous prime is 5036247661. The next prime is 5036247703. The reversal of 5036247680 is 867426305.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1155456064 + 3880791616 = 33992^2 + 62296^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 68954 + ... + 121766.

Almost surely, 25036247680 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 5036247680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6060406500).

5036247680 is an abundant number, since it is smaller than the sum of its proper divisors (7084565320).

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

5036247680 is a wasteful number, since it uses less digits than its factorization.

5036247680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52981 (or 52969 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 41.

The square root of 5036247680 is about 70966.5250664001. The cubic root of 5036247680 is about 1714.0981786386.

The spelling of 5036247680 in words is "five billion, thirty-six million, two hundred forty-seven thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 149 160 298 320 596 640 745 1192 1490 2384 2980 4768 5960 9536 11920 19072 23840 47680 52813 95360 105626 211252 264065 422504 528130 845008 1056260 1690016 2112520 3380032 4225040 6760064 7869137 8450080 15738274 16900160 31476548 33800320 39345685 62953096 78691370 125906192 157382740 251812384 314765480 503624768 629530960 1007249536 1259061920 2518123840 5036247680