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5105505000 = 233541073181
BaseRepresentation
bin1001100000100111…
…11101001011101000
3111011210220112012210
410300103331023220
540424002130000
62202340405120
7240343035141
oct46023751350
914153815183
105105505000
11218aa19522
12ba59a67a0
1363497bc9b
143660c6ac8
151ed347350
hex1304fd2e8

5105505000 has 160 divisors (see below), whose sum is σ = 16103720160. Its totient is φ = 1348320000.

The previous prime is 5105504981. The next prime is 5105505001. The reversal of 5105505000 is 5055015.

It is not an unprimeable number, because it can be changed into a prime (5105505001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1603410 + ... + 1606590.

It is an arithmetic number, because the mean of its divisors is an integer number (100648251).

Almost surely, 25105505000 is an apocalyptic number.

5105505000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5105505000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8051860080).

5105505000 is an abundant number, since it is smaller than the sum of its proper divisors (10998215160).

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

5105505000 is a wasteful number, since it uses less digits than its factorization.

5105505000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3317 (or 3298 counting only the distinct ones).

The product of its (nonzero) digits is 625, while the sum is 21.

The square root of 5105505000 is about 71452.8165994875. The cubic root of 5105505000 is about 1721.9197287358.

The spelling of 5105505000 in words is "five billion, one hundred five million, five hundred five thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 107 120 125 150 200 214 250 300 321 375 428 500 535 600 625 642 750 856 1000 1070 1250 1284 1500 1605 1875 2140 2500 2568 2675 3000 3181 3210 3750 4280 5000 5350 6362 6420 7500 8025 9543 10700 12724 12840 13375 15000 15905 16050 19086 21400 25448 26750 31810 32100 38172 40125 47715 53500 63620 64200 66875 76344 79525 80250 95430 107000 127240 133750 159050 160500 190860 200625 238575 267500 318100 321000 340367 381720 397625 401250 477150 535000 636200 680734 795250 802500 954300 1021101 1192875 1361468 1590500 1605000 1701835 1908600 1988125 2042202 2385750 2722936 3181000 3403670 3976250 4084404 4771500 5105505 5964375 6807340 7952500 8168808 8509175 9543000 10211010 11928750 13614680 15905000 17018350 20422020 23857500 25527525 34036700 40844040 42545875 47715000 51055050 68073400 85091750 102110100 127637625 170183500 204220200 212729375 255275250 340367000 425458750 510550500 638188125 850917500 1021101000 1276376250 1701835000 2552752500 5105505000