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5811340968 = 23321792411871
BaseRepresentation
bin1010110100110001…
…00000011010101000
3120000000001201010200
411122120200122220
543400200402333
62400353112200
7264003404016
oct53230403250
916000051120
105811340968
112512394534
121162258660
13717c827c4
143d1b3d8b6
152402bdc13
hex15a6206a8

5811340968 has 96 divisors (see below), whose sum is σ = 15901142400. Its totient is φ = 1917273600.

The previous prime is 5811340963. The next prime is 5811340981. The reversal of 5811340968 is 8690431185.

5811340968 is a `hidden beast` number, since 581 + 1 + 3 + 4 + 0 + 9 + 68 = 666.

It is not an unprimeable number, because it can be changed into a prime (5811340961) 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 23 ways as a sum of consecutive naturals, for example, 3105073 + ... + 3106943.

It is an arithmetic number, because the mean of its divisors is an integer number (165636900).

Almost surely, 25811340968 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 5811340968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7950571200).

5811340968 is an abundant number, since it is smaller than the sum of its proper divisors (10089801432).

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

5811340968 is a wasteful number, since it uses less digits than its factorization.

5811340968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2303 (or 2296 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 5811340968 is about 76232.1517996180. The cubic root of 5811340968 is about 1797.8720705745.

The spelling of 5811340968 in words is "five billion, eight hundred eleven million, three hundred forty thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 179 241 358 482 537 716 723 964 1074 1432 1446 1611 1871 1928 2148 2169 2892 3222 3742 4296 4338 5613 5784 6444 7484 8676 11226 12888 14968 16839 17352 22452 33678 43139 44904 67356 86278 129417 134712 172556 258834 334909 345112 388251 450911 517668 669818 776502 901822 1004727 1035336 1339636 1352733 1553004 1803644 2009454 2679272 2705466 3014181 3106008 3607288 4018908 4058199 5410932 6028362 8037816 8116398 10821864 12056724 16232796 24113448 32465592 80713069 161426138 242139207 322852276 484278414 645704552 726417621 968556828 1452835242 1937113656 2905670484 5811340968