Search a number
-
+
3670064992 = 2511174311423
BaseRepresentation
bin1101101011000000…
…1011111101100000
3100110202212121201001
43122300023331200
530004014034432
61404102121344
7156643015636
oct33260137540
910422777631
103670064992
111613724170
12865120254
134664723b9
1426b5cb356
151673019e7
hexdac0bf60

3670064992 has 96 divisors (see below), whose sum is σ = 8371206144. Its totient is φ = 1565337600.

The previous prime is 3670064987. The next prime is 3670065013. The reversal of 3670064992 is 2994600763.

3670064992 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2578393 + ... + 2579815.

It is an arithmetic number, because the mean of its divisors is an integer number (87200064).

Almost surely, 23670064992 is an apocalyptic number.

3670064992 is a gapful number since it is divisible by the number (32) 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 3670064992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4185603072).

3670064992 is an abundant number, since it is smaller than the sum of its proper divisors (4701141152).

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

3670064992 is a wasteful number, since it uses less digits than its factorization.

3670064992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1892 (or 1884 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 46.

The square root of 3670064992 is about 60581.0613310794. The cubic root of 3670064992 is about 1542.4979127466.

It can be divided in two parts, 3670064 and 992, that added together give a square (3671056 = 19162).

The spelling of 3670064992 in words is "three billion, six hundred seventy million, sixty-four thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 11 16 17 22 32 34 44 68 88 136 176 187 272 352 374 431 544 748 862 1423 1496 1724 2846 2992 3448 4741 5692 5984 6896 7327 9482 11384 13792 14654 15653 18964 22768 24191 29308 31306 37928 45536 48382 58616 62612 75856 80597 96764 117232 125224 151712 161194 193528 234464 250448 266101 322388 387056 500896 532202 613313 644776 774112 1064404 1226626 1289552 2128808 2453252 2579104 4257616 4906504 6746443 8515232 9813008 10426321 13492886 19626016 20852642 26985772 41705284 53971544 83410568 107943088 114689531 166821136 215886176 229379062 333642272 458758124 917516248 1835032496 3670064992