Search a number
-
+
3153289216 = 2137114999
BaseRepresentation
bin1011101111110011…
…0110000000000000
322010202110200121111
42323330312000000
522424220223331
61240521533104
7141066342010
oct27374660000
98122420544
103153289216
111378a49950
12740044194
133b339560c
1421cb09c40
15136c72db1
hexbbf36000

3153289216 has 112 divisors (see below), whose sum is σ = 7863840000. Its totient is φ = 1228308480.

The previous prime is 3153289211. The next prime is 3153289241. The reversal of 3153289216 is 6129823513.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3153289211) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 628285 + ... + 633283.

Almost surely, 23153289216 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 3153289216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3931920000).

3153289216 is an abundant number, since it is smaller than the sum of its proper divisors (4710550784).

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

3153289216 is an equidigital number, since it uses as much as digits as its factorization.

3153289216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5043 (or 5019 counting only the distinct ones).

The product of its digits is 77760, while the sum is 40.

The square root of 3153289216 is about 56154.1558212747. The cubic root of 3153289216 is about 1466.4072591721.

The spelling of 3153289216 in words is "three billion, one hundred fifty-three million, two hundred eighty-nine thousand, two hundred sixteen".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 128 154 176 224 256 308 352 448 512 616 704 896 1024 1232 1408 1792 2048 2464 2816 3584 4096 4928 4999 5632 7168 8192 9856 9998 11264 14336 19712 19996 22528 28672 34993 39424 39992 45056 54989 57344 69986 78848 79984 90112 109978 139972 157696 159968 219956 279944 315392 319936 384923 439912 559888 630784 639872 769846 879824 1119776 1279744 1539692 1759648 2239552 2559488 3079384 3519296 4479104 5118976 6158768 7038592 8958208 10237952 12317536 14077184 17916416 20475904 24635072 28154368 35832832 40951808 49270144 56308736 71665664 98540288 112617472 143331328 197080576 225234944 286662656 394161152 450469888 788322304 1576644608 3153289216