Search a number
-
+
11690911820 = 2257167673743
BaseRepresentation
bin10101110001101010…
…10010100001001100
31010011202111212002002
422320311102201030
5142420333134240
65212024451432
7562466053010
oct127065224114
933152455062
1011690911820
114a5a2400a5
122323319b78
131144104203
147cc960540
15486568d15
hex2b8d5284c

11690911820 has 96 divisors (see below), whose sum is σ = 28306188288. Its totient is φ = 3973036032.

The previous prime is 11690911789. The next prime is 11690911823. The reversal of 11690911820 is 2811909611.

It is not an unprimeable number, because it can be changed into a prime (11690911823) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15734369 + ... + 15735111.

It is an arithmetic number, because the mean of its divisors is an integer number (294856128).

Almost surely, 211690911820 is an apocalyptic number.

11690911820 is a gapful number since it is divisible by the number (10) 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 11690911820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14153094144).

11690911820 is an abundant number, since it is smaller than the sum of its proper divisors (16615276468).

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

11690911820 is a wasteful number, since it uses less digits than its factorization.

11690911820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1599 (or 1597 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 38.

The spelling of 11690911820 in words is "eleven billion, six hundred ninety million, nine hundred eleven thousand, eight hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 167 334 668 673 743 835 1169 1346 1486 1670 2338 2692 2972 3340 3365 3715 4676 4711 5201 5845 6730 7430 9422 10402 11690 13460 14860 18844 20804 23380 23555 26005 47110 52010 94220 104020 112391 124081 224782 248162 449564 496324 500039 561955 620405 786737 868567 1000078 1123910 1240810 1573474 1737134 2000156 2247820 2481620 2500195 3146948 3474268 3500273 3933685 4342835 5000390 7000546 7867370 8685670 10000780 14001092 15734740 17371340 17501365 35002730 70005460 83506513 167013026 334026052 417532565 584545591 835065130 1169091182 1670130260 2338182364 2922727955 5845455910 11690911820