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5488109640 = 2334513294493
BaseRepresentation
bin1010001110001110…
…11110100001001000
3112011110211212010000
411013013132201020
542214424002030
62304325123000
7253000106436
oct50707364110
915143755100
105488109640
112366993002
121091b59460
1369600c870
143a0c3dd56
15221c21860
hex1471de848

5488109640 has 320 divisors, whose sum is σ = 20554657200. Its totient is φ = 1304045568.

The previous prime is 5488109633. The next prime is 5488109657. The reversal of 5488109640 is 469018845.

5488109640 is a `hidden beast` number, since 5 + 488 + 109 + 64 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 3336448644 + 2151660996 = 57762^2 + 46386^2 .

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1219234 + ... + 1223726.

Almost surely, 25488109640 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 5488109640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10277328600).

5488109640 is an abundant number, since it is smaller than the sum of its proper divisors (15066547560).

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

5488109640 is a wasteful number, since it uses less digits than its factorization.

5488109640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4558 (or 4545 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 5488109640 is about 74081.7767065558. The cubic root of 5488109640 is about 1763.9012161814.

The spelling of 5488109640 in words is "five billion, four hundred eighty-eight million, one hundred nine thousand, six hundred forty".