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3963600216 = 2335412232
BaseRepresentation
bin1110110000111111…
…1011110101011000
3101020020012202100000
43230033323311120
531104140201331
61453145413000
7200136021522
oct35417736530
911206182300
103963600216
111754392564
1292749a160
134b2218794
1429859aa12
15182e850e6
hexec3fbd58

3963600216 has 144 divisors (see below), whose sum is σ = 11455221960. Its totient is φ = 1283195520.

The previous prime is 3963600197. The next prime is 3963600217. The reversal of 3963600216 is 6120063693.

3963600216 is a `hidden beast` number, since 3 + 9 + 636 + 0 + 0 + 2 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3963600217) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 17773881 + ... + 17774103.

Almost surely, 23963600216 is an apocalyptic number.

3963600216 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3963600216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5727610980).

3963600216 is an abundant number, since it is smaller than the sum of its proper divisors (7491621744).

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

3963600216 is an equidigital number, since it uses as much as digits as its factorization.

3963600216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 508 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The square root of 3963600216 is about 62957.1299854115. The cubic root of 3963600216 is about 1582.5712840466.

The spelling of 3963600216 in words is "three billion, nine hundred sixty-three million, six hundred thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 41 54 72 81 82 108 123 162 164 216 223 243 246 324 328 369 446 486 492 648 669 738 892 972 984 1107 1338 1476 1784 1944 2007 2214 2676 2952 3321 4014 4428 5352 6021 6642 8028 8856 9143 9963 12042 13284 16056 18063 18286 19926 24084 26568 27429 36126 36572 39852 48168 49729 54189 54858 72252 73144 79704 82287 99458 108378 109716 144504 149187 164574 198916 216756 219432 246861 298374 329148 397832 433512 447561 493722 596748 658296 740583 895122 987444 1193496 1342683 1481166 1790244 1974888 2038889 2221749 2685366 2962332 3580488 4028049 4077778 4443498 5370732 5924664 6116667 8056098 8155556 8886996 10741464 12084147 12233334 16112196 16311112 17773992 18350001 24168294 24466668 32224392 36700002 48336588 48933336 55050003 73400004 96673176 110100006 146800008 165150009 220200012 330300018 440400024 495450027 660600036 990900054 1321200072 1981800108 3963600216