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5735823968 = 257219192529
BaseRepresentation
bin1010101011110000…
…11011101001100000
3112210201222001021202
411111320123221200
543221332331333
62345054340332
7262065461600
oct52570335140
915721861252
105735823968
1124837a5496
121140aba6a8
13705431aa4
143c5ac2c00
152388535e8
hex155e1ba60

5735823968 has 72 divisors (see below), whose sum is σ = 13827504600. Its totient is φ = 2328818688.

The previous prime is 5735823967. The next prime is 5735823983. The reversal of 5735823968 is 8693285375.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5735823967) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 66473 + ... + 126056.

It is an arithmetic number, because the mean of its divisors is an integer number (192048675).

Almost surely, 25735823968 is an apocalyptic number.

It is an amenable number.

5735823968 is an abundant number, since it is smaller than the sum of its proper divisors (8091680632).

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

5735823968 is a wasteful number, since it uses less digits than its factorization.

5735823968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192572 (or 192557 counting only the distinct ones).

The product of its digits is 10886400, while the sum is 56.

The square root of 5735823968 is about 75735.2227698579. Note that the first 3 decimals coincide. The cubic root of 5735823968 is about 1790.0504514353.

The spelling of 5735823968 in words is "five billion, seven hundred thirty-five million, eight hundred twenty-three thousand, nine hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 49 56 76 98 112 133 152 196 224 266 304 392 532 608 784 931 1064 1568 1862 2128 3724 4256 7448 14896 29792 192529 385058 770116 1347703 1540232 2695406 3080464 3658051 5390812 6160928 7316102 9433921 10781624 14632204 18867842 21563248 25606357 29264408 37735684 43126496 51212714 58528816 75471368 102425428 117057632 150942736 179244499 204850856 301885472 358488998 409701712 716977996 819403424 1433955992 2867911984 5735823968