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5115048640 = 26513294583
BaseRepresentation
bin1001100001110000…
…10111001011000000
3111012110212101121221
410300320113023000
540433423024030
62203321124424
7240520124152
oct46070271300
914173771557
105115048640
112195347829
12ba9029714
13636940c00
1436748cad2
151ee0cee7a
hex130e172c0

5115048640 has 84 divisors (see below), whose sum is σ = 13189360464. Its totient is φ = 1888613376.

The previous prime is 5115048619. The next prime is 5115048643. The reversal of 5115048640 is 468405115.

It is a junction number, because it is equal to n+sod(n) for n = 5115048596 and 5115048605.

It is not an unprimeable number, because it can be changed into a prime (5115048643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6789 + ... + 101371.

It is an arithmetic number, because the mean of its divisors is an integer number (157016196).

Almost surely, 25115048640 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 5115048640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6594680232).

5115048640 is an abundant number, since it is smaller than the sum of its proper divisors (8074311824).

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

5115048640 is a wasteful number, since it uses less digits than its factorization.

5115048640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94626 (or 94603 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 34.

The square root of 5115048640 is about 71519.5682313589. The cubic root of 5115048640 is about 1722.9919800323.

The spelling of 5115048640 in words is "five billion, one hundred fifteen million, forty-eight thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 130 160 169 208 260 320 338 416 520 676 832 845 1040 1352 1690 2080 2704 3380 4160 5408 6760 10816 13520 27040 54080 94583 189166 378332 472915 756664 945830 1229579 1513328 1891660 2459158 3026656 3783320 4918316 6053312 6147895 7566640 9836632 12295790 15133280 15984527 19673264 24591580 30266560 31969054 39346528 49183160 63938108 78693056 79922635 98366320 127876216 159845270 196732640 255752432 319690540 393465280 511504864 639381080 1023009728 1278762160 2557524320 5115048640