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3721661216 = 257132175783
BaseRepresentation
bin1101110111010100…
…0000101100100000
3100121100221222102022
43131311000230200
530110221124331
61413144041012
7161140412150
oct33565005440
910540858368
103721661216
11163a865179
1287a463168
13474069200
142743bc760
1516bae467b
hexddd40b20

3721661216 has 144 divisors (see below), whose sum is σ = 9602457984. Its totient is φ = 1385459712.

The previous prime is 3721661191. The next prime is 3721661227. The reversal of 3721661216 is 6121661273.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 640661 + ... + 646443.

It is an arithmetic number, because the mean of its divisors is an integer number (66683736).

Almost surely, 23721661216 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 3721661216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4801228992).

3721661216 is an abundant number, since it is smaller than the sum of its proper divisors (5880796768).

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

3721661216 is a wasteful number, since it uses less digits than its factorization.

3721661216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5843 (or 5822 counting only the distinct ones).

The product of its digits is 18144, while the sum is 35.

The square root of 3721661216 is about 61005.4195625274. The cubic root of 3721661216 is about 1549.6927890626.

The spelling of 3721661216 in words is "three billion, seven hundred twenty-one million, six hundred sixty-one thousand, two hundred sixteen".

Divisors: 1 2 4 7 8 13 14 16 17 26 28 32 34 52 56 68 91 104 112 119 136 169 182 208 221 224 238 272 338 364 416 442 476 544 676 728 884 952 1183 1352 1456 1547 1768 1904 2366 2704 2873 2912 3094 3536 3808 4732 5408 5746 5783 6188 7072 9464 11492 11566 12376 18928 20111 22984 23132 24752 37856 40222 40481 45968 46264 49504 75179 80444 80962 91936 92528 98311 150358 160888 161924 185056 196622 300716 321776 323848 393244 526253 601432 643552 647696 688177 786488 977327 1052506 1202864 1278043 1295392 1376354 1572976 1954654 2105012 2405728 2556086 2752708 3145952 3909308 4210024 5112172 5505416 6841289 7818616 8420048 8946301 10224344 11010832 13682578 15637232 16614559 16840096 17892602 20448688 22021664 27365156 31274464 33229118 35785204 40897376 54730312 66458236 71570408 109460624 116301913 132916472 143140816 218921248 232603826 265832944 286281632 465207652 531665888 930415304 1860830608 3721661216