Search a number
-
+
11790814496 = 251921079539
BaseRepresentation
bin10101111101100100…
…11000110100100000
31010102201111102210012
422332302120310200
5143121422030441
65225554024052
7565121161316
oct127662306440
933381442705
1011790814496
11500067549a
122350878028
13115ba12616
147dbd280b6
154901ee9eb
hex2bec98d20

11790814496 has 72 divisors (see below), whose sum is σ = 24730770960. Its totient is φ = 5532345216.

The previous prime is 11790814463. The next prime is 11790814549. The reversal of 11790814496 is 69441809711.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1231295 + ... + 1240833.

It is an arithmetic number, because the mean of its divisors is an integer number (343482930).

Almost surely, 211790814496 is an apocalyptic number.

11790814496 is a gapful number since it is divisible by the number (16) 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 11790814496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12365385480).

11790814496 is an abundant number, since it is smaller than the sum of its proper divisors (12939956464).

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

11790814496 is a wasteful number, since it uses less digits than its factorization.

11790814496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9694 (or 9667 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 50.

The spelling of 11790814496 in words is "eleven billion, seven hundred ninety million, eight hundred fourteen thousand, four hundred ninety-six".

Divisors: 1 2 4 8 16 19 32 38 76 107 152 214 304 361 428 608 722 856 1444 1712 2033 2888 3424 4066 5776 8132 9539 11552 16264 19078 32528 38156 38627 65056 76312 77254 152624 154508 181241 305248 309016 362482 618032 724964 1020673 1236064 1449928 2041346 2899856 3443579 4082692 5799712 6887158 8165384 13774316 16330768 19392787 27548632 32661536 38785574 55097264 77571148 110194528 155142296 310284592 368462953 620569184 736925906 1473851812 2947703624 5895407248 11790814496