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5705875968 = 29313377723
BaseRepresentation
bin1010101000001100…
…01100001000000000
3112201122121112100120
411110012030020000
543141201012333
62342104420240
7261253100622
oct52406141000
915648545316
105705875968
112468900081
121132a77680
136cc177690
143c1b28c12
15235dd9db3
hex15418c200

5705875968 has 160 divisors (see below), whose sum is σ = 16814715456. Its totient is φ = 1707982848.

The previous prime is 5705875957. The next prime is 5705875969. The reversal of 5705875968 is 8695785075.

It is not an unprimeable number, because it can be changed into a prime (5705875969) 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, 734955 + ... + 742677.

Almost surely, 25705875968 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 5705875968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8407357728).

5705875968 is an abundant number, since it is smaller than the sum of its proper divisors (11108839488).

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

5705875968 is a wasteful number, since it uses less digits than its factorization.

5705875968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7794 (or 7778 counting only the distinct ones).

The product of its (nonzero) digits is 21168000, while the sum is 60.

The square root of 5705875968 is about 75537.2488776233. The cubic root of 5705875968 is about 1786.9295976995.

The spelling of 5705875968 in words is "five billion, seven hundred five million, eight hundred seventy-five thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 37 39 48 52 64 74 78 96 104 111 128 148 156 192 208 222 256 296 312 384 416 444 481 512 592 624 768 832 888 962 1184 1248 1443 1536 1664 1776 1924 2368 2496 2886 3328 3552 3848 4736 4992 5772 6656 7104 7696 7723 9472 9984 11544 14208 15392 15446 18944 19968 23088 23169 28416 30784 30892 46176 46338 56832 61568 61784 92352 92676 100399 123136 123568 184704 185352 200798 246272 247136 285751 301197 369408 370704 401596 494272 571502 602394 738816 741408 803192 857253 988544 1143004 1204788 1482816 1606384 1714506 1977088 2286008 2409576 2965632 3212768 3429012 3714763 3954176 4572016 4819152 5931264 6425536 6858024 7429526 9144032 9638304 11144289 11862528 12851072 13716048 14859052 18288064 19276608 22288578 25702144 27432096 29718104 36576128 38553216 44577156 51404288 54864192 59436208 73152256 77106432 89154312 109728384 118872416 146304512 154212864 178308624 219456768 237744832 356617248 438913536 475489664 713234496 950979328 1426468992 1901958656 2852937984 5705875968