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3992473368 = 2333137319477
BaseRepresentation
bin1110110111111000…
…0100111100011000
3101022020112122212000
43231332010330120
531134033121433
61500100321000
7200636315022
oct35576047430
911266478760
103992473368
111769713374
129350a3160
134b81b78a0
1429c355012
1518578a113
hexedf84f18

3992473368 has 128 divisors (see below), whose sum is σ = 12107524800. Its totient is φ = 1211563008.

The previous prime is 3992473367. The next prime is 3992473391. The reversal of 3992473368 is 8633742993.

3992473368 is a `hidden beast` number, since 39 + 9 + 247 + 3 + 368 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3992473367) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 195246 + ... + 214722.

Almost surely, 23992473368 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 3992473368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6053762400).

3992473368 is an abundant number, since it is smaller than the sum of its proper divisors (8115051432).

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

3992473368 is a wasteful number, since it uses less digits than its factorization.

3992473368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19578 (or 19568 counting only the distinct ones).

The product of its digits is 5878656, while the sum is 54.

The square root of 3992473368 is about 63186.0219352350. The cubic root of 3992473368 is about 1586.4047781949.

The spelling of 3992473368 in words is "three billion, nine hundred ninety-two million, four hundred seventy-three thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 73 78 104 108 117 146 156 216 219 234 292 312 351 438 468 584 657 702 876 936 949 1314 1404 1752 1898 1971 2628 2808 2847 3796 3942 5256 5694 7592 7884 8541 11388 15768 17082 19477 22776 25623 34164 38954 51246 58431 68328 77908 102492 116862 155816 175293 204984 233724 253201 350586 467448 506402 525879 701172 759603 1012804 1051758 1402344 1421821 1519206 2025608 2103516 2278809 2843642 3038412 4207032 4265463 4557618 5687284 6076824 6836427 8530926 9115236 11374568 12796389 13672854 17061852 18230472 18483673 25592778 27345708 34123704 36967346 38389167 51185556 54691416 55451019 73934692 76778334 102371112 110902038 147869384 153556668 166353057 221804076 307113336 332706114 443608152 499059171 665412228 998118342 1330824456 1996236684 3992473368