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5356064340 = 223251110126783
BaseRepresentation
bin1001111110011111…
…10000111001010100
3111211021101021000100
410333033300321110
541432123024330
62243251014100
7246504536634
oct47717607124
914737337010
105356064340
1122a93a4460
12105589a330
13674859153
1438b4aa6c4
1521533c060
hex13f3f0e54

5356064340 has 144 divisors (see below), whose sum is σ = 17899854336. Its totient is φ = 1285536000.

The previous prime is 5356064333. The next prime is 5356064377. The reversal of 5356064340 is 434606535.

5356064340 is a `hidden beast` number, since 5 + 3 + 5 + 6 + 0 + 643 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5356064295 and 5356064304.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 186589 + ... + 213371.

It is an arithmetic number, because the mean of its divisors is an integer number (124304544).

Almost surely, 25356064340 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 5356064340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8949927168).

5356064340 is an abundant number, since it is smaller than the sum of its proper divisors (12543789996).

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

5356064340 is a wasteful number, since it uses less digits than its factorization.

5356064340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26910 (or 26905 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

The square root of 5356064340 is about 73185.1374255730. The cubic root of 5356064340 is about 1749.6395818302.

The spelling of 5356064340 in words is "five billion, three hundred fifty-six million, sixty-four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 101 110 132 165 180 198 202 220 303 330 396 404 495 505 606 660 909 990 1010 1111 1212 1515 1818 1980 2020 2222 3030 3333 3636 4444 4545 5555 6060 6666 9090 9999 11110 13332 16665 18180 19998 22220 26783 33330 39996 49995 53566 66660 80349 99990 107132 133915 160698 199980 241047 267830 294613 321396 401745 482094 535660 589226 803490 883839 964188 1178452 1205235 1473065 1606980 1767678 2410470 2651517 2705083 2946130 3535356 4419195 4820940 5303034 5410166 5892260 8115249 8838390 10606068 10820332 13257585 13525415 16230498 17676780 24345747 26515170 27050830 29755913 32460996 40576245 48691494 53030340 54101660 59511826 81152490 89267739 97382988 119023652 121728735 148779565 162304980 178535478 243457470 267803217 297559130 357070956 446338695 486914940 535606434 595118260 892677390 1071212868 1339016085 1785354780 2678032170 5356064340