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5185211720 = 23513192691951
BaseRepresentation
bin1001101010001000…
…00000110101001000
3111101100220001021112
410311010000311020
541104403233340
62214305025452
7242331400223
oct46504006510
914340801245
105185211720
112220a0a347
121008625288
13648338a20
143729145ba
1520533e065
hex135100d48

5185211720 has 128 divisors (see below), whose sum is σ = 13281408000. Its totient is φ = 1806105600.

The previous prime is 5185211711. The next prime is 5185211729. The reversal of 5185211720 is 271125815.

It is an interprime number because it is at equal distance from previous prime (5185211711) and next prime (5185211729).

It is not an unprimeable number, because it can be changed into a prime (5185211729) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2656745 + ... + 2658695.

It is an arithmetic number, because the mean of its divisors is an integer number (103761000).

Almost surely, 25185211720 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 5185211720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6640704000).

5185211720 is an abundant number, since it is smaller than the sum of its proper divisors (8096196280).

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

5185211720 is a wasteful number, since it uses less digits than its factorization.

5185211720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2263 (or 2259 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 32.

The square root of 5185211720 is about 72008.4142305606. The cubic root of 5185211720 is about 1730.8343197473.

The spelling of 5185211720 in words is "five billion, one hundred eighty-five million, two hundred eleven thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 13 19 20 26 38 40 52 65 76 95 104 130 152 190 247 260 269 380 494 520 538 760 988 1076 1235 1345 1951 1976 2152 2470 2690 3497 3902 4940 5111 5380 6994 7804 9755 9880 10222 10760 13988 15608 17485 19510 20444 25363 25555 27976 34970 37069 39020 40888 50726 51110 66443 69940 74138 78040 101452 102220 126815 132886 139880 148276 185345 202904 204440 253630 265772 296552 332215 370690 481897 507260 524819 531544 664430 741380 963794 1014520 1049638 1328860 1482760 1927588 2099276 2409485 2624095 2657720 3855176 4198552 4818970 5248190 6822647 9637940 9971561 10496380 13645294 19275880 19943122 20992760 27290588 34113235 39886244 49857805 54581176 68226470 79772488 99715610 129630293 136452940 199431220 259260586 272905880 398862440 518521172 648151465 1037042344 1296302930 2592605860 5185211720