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3991740264 = 233429375741
BaseRepresentation
bin1110110111101101…
…0001111101101000
3101022012011102020000
43231323101331220
531133341142024
61500032503000
7200630142501
oct35573217550
911265142200
103991740264
1117692625a6
129349aaa60
134b7cbbcb5
1429c203ba8
15185692cc9
hexeded1f68

3991740264 has 160 divisors (see below), whose sum is σ = 11880772200. Its totient is φ = 1249758720.

The previous prime is 3991740253. The next prime is 3991740289. The reversal of 3991740264 is 4620471993.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 3899003364 + 92736900 = 62442^2 + 9630^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 692434 + ... + 698174.

Almost surely, 23991740264 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 3991740264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5940386100).

3991740264 is an abundant number, since it is smaller than the sum of its proper divisors (7889031936).

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

3991740264 is a wasteful number, since it uses less digits than its factorization.

3991740264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5825 (or 5812 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 3991740264 is about 63180.2205124357. The cubic root of 3991740264 is about 1586.3076729027.

It can be divided in two parts, 3991740 and 264, that added together give a square (3992004 = 19982).

The spelling of 3991740264 in words is "three billion, nine hundred ninety-one million, seven hundred forty thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 29 36 37 54 58 72 74 81 87 108 111 116 148 162 174 216 222 232 261 296 324 333 348 444 522 648 666 696 783 888 999 1044 1073 1332 1566 1998 2088 2146 2349 2664 2997 3132 3219 3996 4292 4698 5741 5994 6264 6438 7992 8584 9396 9657 11482 11988 12876 17223 18792 19314 22964 23976 25752 28971 34446 38628 45928 51669 57942 68892 77256 86913 103338 115884 137784 155007 166489 173826 206676 212417 231768 310014 332978 347652 413352 424834 465021 499467 620028 637251 665956 695304 849668 930042 998934 1240056 1274502 1331912 1498401 1699336 1860084 1911753 1997868 2549004 2996802 3720168 3823506 3995736 4495203 5098008 5735259 5993604 6160093 7647012 8990406 11470518 11987208 12320186 13485609 15294024 17205777 17980812 18480279 22941036 24640372 26971218 34411554 35961624 36960558 45882072 49280744 53942436 55440837 68823108 73921116 107884872 110881674 137646216 147842232 166322511 221763348 332645022 443526696 498967533 665290044 997935066 1330580088 1995870132 3991740264