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3969832412 = 22721319431907
BaseRepresentation
bin1110110010011110…
…1101010111011100
3101020122221101022002
43230213231113130
531112234114122
61453531141432
7200243006300
oct35447552734
911218841262
103969832412
111757959937
129295a4878
134b35bb380
1429933dd00
151837b6992
hexec9ed5dc

3969832412 has 144 divisors (see below), whose sum is σ = 9379117440. Its totient is φ = 1452463488.

The previous prime is 3969832409. The next prime is 3969832439. The reversal of 3969832412 is 2142389693.

It is a hoax number, since the sum of its digits (47) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2080763 + ... + 2082669.

It is an arithmetic number, because the mean of its divisors is an integer number (65132760).

Almost surely, 23969832412 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 3969832412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4689558720).

3969832412 is an abundant number, since it is smaller than the sum of its proper divisors (5409285028).

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

3969832412 is a wasteful number, since it uses less digits than its factorization.

3969832412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2000 (or 1991 counting only the distinct ones).

The product of its digits is 559872, while the sum is 47.

The square root of 3969832412 is about 63006.6060980910. The cubic root of 3969832412 is about 1583.4003055648.

The spelling of 3969832412 in words is "three billion, nine hundred sixty-nine million, eight hundred thirty-two thousand, four hundred twelve".

Divisors: 1 2 4 7 13 14 19 26 28 38 43 49 52 76 86 91 98 133 172 182 196 247 266 301 364 494 532 559 602 637 817 931 988 1118 1204 1274 1634 1729 1862 1907 2107 2236 2548 3268 3458 3724 3814 3913 4214 5719 6916 7628 7826 8428 10621 11438 12103 13349 15652 21242 22876 24206 24791 26698 27391 36233 40033 42484 48412 49582 53396 54782 72466 74347 80066 82001 93443 99164 109564 144932 148694 160132 164002 173537 186886 253631 297388 328004 347074 373772 471029 507262 520429 574007 694148 942058 1014524 1040858 1066013 1148014 1214759 1558019 1775417 1884116 2081716 2132026 2296028 2429518 3116038 3297203 3550834 4018049 4264052 4859036 6232076 6594406 7101668 7462091 8036098 10906133 13188812 14924182 16072196 20254247 21812266 23080421 29848364 40508494 43624532 46160842 52234637 76342931 81016988 92321684 104469274 141779729 152685862 208938548 283559458 305371724 567118916 992458103 1984916206 3969832412