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5741335776 = 2531121732857
BaseRepresentation
bin1010101100011010…
…11101010011100000
3112211010100002001210
411112031131103200
543224240221101
62345412430120
7262163356161
oct52615352340
915733302053
105741335776
11248691a600
121142918340
13706611807
143c6719768
152390917d6
hex15635d4e0

5741335776 has 144 divisors (see below), whose sum is σ = 16667238672. Its totient is φ = 1729136640.

The previous prime is 5741335763. The next prime is 5741335781. The reversal of 5741335776 is 6775331475.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2008140 + ... + 2010996.

It is an arithmetic number, because the mean of its divisors is an integer number (115744713).

Almost surely, 25741335776 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 5741335776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8333619336).

5741335776 is an abundant number, since it is smaller than the sum of its proper divisors (10925902896).

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

5741335776 is a wasteful number, since it uses less digits than its factorization.

5741335776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3065 (or 3046 counting only the distinct ones).

The product of its digits is 1852200, while the sum is 48.

The square root of 5741335776 is about 75771.6027018038. The cubic root of 5741335776 is about 1790.6236475318.

The spelling of 5741335776 in words is "five billion, seven hundred forty-one million, three hundred thirty-five thousand, seven hundred seventy-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 121 132 173 176 242 264 346 352 363 484 519 528 692 726 968 1038 1056 1384 1452 1903 1936 2076 2768 2857 2904 3806 3872 4152 5536 5709 5714 5808 7612 8304 8571 11418 11428 11616 15224 16608 17142 20933 22836 22856 30448 31427 34284 41866 45672 45712 60896 62799 62854 68568 83732 91344 91424 94281 125598 125708 137136 167464 182688 188562 251196 251416 274272 334928 345697 377124 494261 502392 502832 669856 691394 754248 988522 1004784 1005664 1037091 1382788 1482783 1508496 1977044 2009568 2074182 2765576 2965566 3016992 3954088 4148364 5436871 5531152 5931132 7908176 8296728 10873742 11062304 11862264 15816352 16310613 16593456 21747484 23724528 32621226 33186912 43494968 47449056 59805581 65242452 86989936 119611162 130484904 173979872 179416743 239222324 260969808 358833486 478444648 521939616 717666972 956889296 1435333944 1913778592 2870667888 5741335776