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4201866396 = 22327131319791
BaseRepresentation
bin1111101001110011…
…0110010010011100
3101211211112221002100
43322130312102130
532101134211041
61532540325100
7206061163230
oct37234662234
911754487070
104201866396
111866931462
12993243790
1351c6b03a0
142bc0a05c0
15198d4c6b6
hexfa73649c

4201866396 has 144 divisors (see below), whose sum is σ = 13173608448. Its totient is φ = 1099612800.

The previous prime is 4201866301. The next prime is 4201866401. The reversal of 4201866396 is 6936681024.

4201866396 is a `hidden beast` number, since 4 + 2 + 0 + 1 + 8 + 6 + 639 + 6 = 666.

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, 424261 + ... + 434051.

It is an arithmetic number, because the mean of its divisors is an integer number (91483392).

Almost surely, 24201866396 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 4201866396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6586804224).

4201866396 is an abundant number, since it is smaller than the sum of its proper divisors (8971742052).

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

4201866396 is a wasteful number, since it uses less digits than its factorization.

4201866396 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9952 (or 9947 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 4201866396 is about 64821.8049424729. The cubic root of 4201866396 is about 1613.6676024395.

The spelling of 4201866396 in words is "four billion, two hundred one million, eight hundred sixty-six thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 52 63 78 84 91 117 126 131 156 182 234 252 262 273 364 393 468 524 546 786 819 917 1092 1179 1572 1638 1703 1834 2358 2751 3276 3406 3668 4716 5109 5502 6812 8253 9791 10218 11004 11921 15327 16506 19582 20436 23842 29373 30654 33012 35763 39164 47684 58746 61308 68537 71526 88119 107289 117492 127283 137074 143052 176238 205611 214578 254566 274148 352476 381849 411222 429156 509132 616833 763698 822444 890981 1145547 1233666 1282621 1527396 1781962 2291094 2467332 2565242 2672943 3563924 3847863 4582188 5130484 5345886 7695726 8018829 8978347 10691772 11543589 15391452 16037658 16674073 17956694 23087178 26935041 32075316 33348146 35913388 46174356 50022219 53870082 66696292 80805123 100044438 107740164 116718511 150066657 161610246 200088876 233437022 300133314 323220492 350155533 466874044 600266628 700311066 1050466599 1400622132 2100933198 4201866396