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5765035144 = 2311539712743
BaseRepresentation
bin1010101111001111…
…10111010010001000
3112212202221010111011
411113213313102020
543301322111034
62352020413304
7262601663431
oct52747672210
915782833434
105765035144
112499237260
12114a847234
1370b4bb9cb
143c9928488
1523b1c3864
hex1579f7488

5765035144 has 64 divisors (see below), whose sum is σ = 12139424640. Its totient is φ = 2544322560.

The previous prime is 5765035141. The next prime is 5765035201. The reversal of 5765035144 is 4415305675.

It is a junction number, because it is equal to n+sod(n) for n = 5765035097 and 5765035106.

It is not an unprimeable number, because it can be changed into a prime (5765035141) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 446037 + ... + 458779.

It is an arithmetic number, because the mean of its divisors is an integer number (189678510).

Almost surely, 25765035144 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 5765035144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6069712320).

5765035144 is an abundant number, since it is smaller than the sum of its proper divisors (6374389496).

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

5765035144 is a wasteful number, since it uses less digits than its factorization.

5765035144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12910 (or 12906 counting only the distinct ones).

The product of its (nonzero) digits is 252000, while the sum is 40.

The square root of 5765035144 is about 75927.8285215638. The cubic root of 5765035144 is about 1793.0840733089.

The spelling of 5765035144 in words is "five billion, seven hundred sixty-five million, thirty-five thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 22 44 53 88 97 106 194 212 388 424 583 776 1067 1166 2134 2332 4268 4664 5141 8536 10282 12743 20564 25486 41128 50972 56551 101944 113102 140173 226204 280346 452408 560692 675379 1121384 1236071 1350758 2472142 2701516 4944284 5403032 7429169 9888568 13596781 14858338 27193562 29716676 54387124 59433352 65511763 108774248 131023526 262047052 524094104 720629393 1441258786 2882517572 5765035144