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3923983656 = 2333178912007
BaseRepresentation
bin1110100111100011…
…0011110100101000
3101010110200000122000
43221320303310220
531014014434111
61445212331000
7166145211405
oct35170636450
911113600560
103923983656
111733a93aaa
12916173a60
134a6c57628
142932072ac
1517e75bc56
hexe9e33d28

3923983656 has 128 divisors (see below), whose sum is σ = 11671776000. Its totient is φ = 1217120256.

The previous prime is 3923983579. The next prime is 3923983663. The reversal of 3923983656 is 6563893293.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 320805 + ... + 332811.

It is an arithmetic number, because the mean of its divisors is an integer number (91185750).

Almost surely, 23923983656 is an apocalyptic number.

3923983656 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 3923983656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5835888000).

3923983656 is an abundant number, since it is smaller than the sum of its proper divisors (7747792344).

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

3923983656 is a wasteful number, since it uses less digits than its factorization.

3923983656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12128 (or 12118 counting only the distinct ones).

The product of its digits is 6298560, while the sum is 54.

The square root of 3923983656 is about 62641.7085973874. The cubic root of 3923983656 is about 1577.2809689508.

The spelling of 3923983656 in words is "three billion, nine hundred twenty-three million, nine hundred eighty-three thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 68 72 89 102 108 136 153 178 204 216 267 306 356 408 459 534 612 712 801 918 1068 1224 1513 1602 1836 2136 2403 3026 3204 3672 4539 4806 6052 6408 9078 9612 12007 12104 13617 18156 19224 24014 27234 36021 36312 40851 48028 54468 72042 81702 96056 108063 108936 144084 163404 204119 216126 288168 324189 326808 408238 432252 612357 648378 816476 864504 1068623 1224714 1296756 1632952 1837071 2137246 2449428 2593512 3205869 3674142 4274492 4898856 5511213 6411738 7348284 8548984 9617607 11022426 12823476 14696568 18166591 19235214 22044852 25646952 28852821 36333182 38470428 44089704 54499773 57705642 72666364 76940856 108999546 115411284 145332728 163499319 217999092 230822568 326998638 435998184 490497957 653997276 980995914 1307994552 1961991828 3923983656