Search a number
-
+
3981196996 = 2271997179431
BaseRepresentation
bin1110110101001100…
…0011111011000100
3101021110022202120121
43231103003323010
531123141300441
61455014511324
7200441421220
oct35523037304
911243282517
103981196996
111763311257
12931365544
134b5a6a08a
1429aa5b780
151847addd1
hexed4c3ec4

3981196996 has 96 divisors (see below), whose sum is σ = 8534937600. Its totient is φ = 1587133440.

The previous prime is 3981196991. The next prime is 3981196997. The reversal of 3981196996 is 6996911893.

It is not an unprimeable number, because it can be changed into a prime (3981196991) by changing a digit.

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, 9236901 + ... + 9237331.

It is an arithmetic number, because the mean of its divisors is an integer number (88905600).

Almost surely, 23981196996 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 3981196996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4267468800).

3981196996 is an abundant number, since it is smaller than the sum of its proper divisors (4553740604).

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

3981196996 is a wasteful number, since it uses less digits than its factorization.

3981196996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 737 (or 735 counting only the distinct ones).

The product of its digits is 5668704, while the sum is 61.

The square root of 3981196996 is about 63096.7273002333. The cubic root of 3981196996 is about 1584.9098186309.

The spelling of 3981196996 in words is "three billion, nine hundred eighty-one million, one hundred ninety-six thousand, nine hundred ninety-six".

Divisors: 1 2 4 7 14 19 28 38 76 97 133 179 194 266 358 388 431 532 679 716 862 1253 1358 1724 1843 2506 2716 3017 3401 3686 5012 6034 6802 7372 8189 12068 12901 13604 16378 17363 23807 25802 32756 34726 41807 47614 51604 57323 69452 77149 83614 95228 114646 121541 154298 167228 229292 243082 292649 308596 329897 486164 540043 585298 659794 794333 1080086 1170596 1319588 1465831 1588666 2160172 2309279 2931662 3177332 4618558 5560331 5863324 7483453 9237116 10260817 11120662 14966906 20521634 22241324 29933812 41043268 52384171 104768342 142185607 209536684 284371214 568742428 995299249 1990598498 3981196996