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3713788890 = 2325721749537
BaseRepresentation
bin1101110101011011…
…1110101111011010
3100120211011000121200
43131112332233122
530101212221030
61412303215030
7161013453600
oct33526765732
910524130550
103713788890
111636378619
128778a7476
13472540c26
1427332d870
1516b08bd60
hexdd5bebda

3713788890 has 144 divisors (see below), whose sum is σ = 11893281192. Its totient is φ = 798916608.

The previous prime is 3713788861. The next prime is 3713788891. The reversal of 3713788890 is 988873173.

It can be written as a sum of positive squares in 4 ways, for example, as 3313268721 + 400520169 = 57561^2 + 20013^2 .

It is not an unprimeable number, because it can be changed into a prime (3713788891) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 50202 + ... + 99738.

Almost surely, 23713788890 is an apocalyptic number.

3713788890 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3713788890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5946640596).

3713788890 is an abundant number, since it is smaller than the sum of its proper divisors (8179492302).

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

3713788890 is a wasteful number, since it uses less digits than its factorization.

3713788890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49581 (or 49571 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The square root of 3713788890 is about 60940.8638763843. The cubic root of 3713788890 is about 1548.5993437671.

The spelling of 3713788890 in words is "three billion, seven hundred thirteen million, seven hundred eighty-eight thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 17 18 21 30 34 35 42 45 49 51 63 70 85 90 98 102 105 119 126 147 153 170 210 238 245 255 294 306 315 357 441 490 510 595 630 714 735 765 833 882 1071 1190 1470 1530 1666 1785 2142 2205 2499 3570 4165 4410 4998 5355 7497 8330 10710 12495 14994 24990 37485 49537 74970 99074 148611 247685 297222 346759 445833 495370 693518 743055 842129 891666 1040277 1486110 1684258 1733795 2080554 2229165 2427313 2526387 3120831 3467590 4210645 4458330 4854626 5052774 5201385 5894903 6241662 7281939 7579161 8421290 10402770 11789806 12136565 12631935 14563878 15158322 15604155 17684709 21845817 24273130 25263870 29474515 31208310 35369418 36409695 37895805 41264321 43691634 53054127 58949030 72819390 75791610 82528642 88423545 106108254 109229085 123792963 176847090 206321605 218458170 247585926 265270635 371378889 412643210 530541270 618964815 742757778 1237929630 1856894445 3713788890