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5130788640 = 253529393637
BaseRepresentation
bin1001100011101000…
…11001111100100000
3111020120111001211220
410301310121330200
541001440214030
62205042335040
7241100661315
oct46164317440
914216431756
105130788640
1121a321849a
12bb235a480
13639c92313
143695c8d0c
1520068da10
hex131d19f20

5130788640 has 96 divisors (see below), whose sum is σ = 16171928640. Its totient is φ = 1367368704.

The previous prime is 5130788623. The next prime is 5130788669. The reversal of 5130788640 is 468870315.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 5130788592 and 5130788601.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1408902 + ... + 1412538.

It is an arithmetic number, because the mean of its divisors is an integer number (168457590).

Almost surely, 25130788640 is an apocalyptic number.

It is an amenable number.

5130788640 is an abundant number, since it is smaller than the sum of its proper divisors (11041140000).

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

5130788640 is a wasteful number, since it uses less digits than its factorization.

5130788640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6594 (or 6586 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The square root of 5130788640 is about 71629.5235220785. The cubic root of 5130788640 is about 1724.7574975213.

The spelling of 5130788640 in words is "five billion, one hundred thirty million, seven hundred eighty-eight thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 2939 3637 5878 7274 8817 10911 11756 14548 14695 17634 18185 21822 23512 29096 29390 35268 36370 43644 44085 47024 54555 58192 58780 70536 72740 87288 88170 94048 109110 116384 117560 141072 145480 174576 176340 218220 235120 282144 290960 349152 352680 436440 470240 581920 705360 872880 1410720 1745760 10689143 21378286 32067429 42756572 53445715 64134858 85513144 106891430 128269716 160337145 171026288 213782860 256539432 320674290 342052576 427565720 513078864 641348580 855131440 1026157728 1282697160 1710262880 2565394320 5130788640