Search a number
-
+
294560090680 = 23553709195971
BaseRepresentation
bin1000100100101010010…
…01100100101000111000
31001011022101210000001011
410102111021210220320
514311224340400210
6343152525003304
730165321313402
oct4222511445070
91034271700034
10294560090680
11103a16545979
12491076b3534
1321a13ac725b
141038488bb72
1579ded0dd8a
hex4495264a38

294560090680 has 64 divisors (see below), whose sum is σ = 676220983200. Its totient is φ = 115437304320.

The previous prime is 294560090663. The next prime is 294560090683. The reversal of 294560090680 is 86090065492.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (294560090683) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1405095 + ... + 1601065.

Almost surely, 2294560090680 is an apocalyptic number.

294560090680 is a gapful number since it is divisible by the number (20) 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 294560090680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338110491600).

294560090680 is an abundant number, since it is smaller than the sum of its proper divisors (381660892520).

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

294560090680 is a wasteful number, since it uses less digits than its factorization.

294560090680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196744 (or 196740 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 49.

The spelling of 294560090680 in words is "two hundred ninety-four billion, five hundred sixty million, ninety thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 20 40 53 106 212 265 424 530 709 1060 1418 2120 2836 3545 5672 7090 14180 28360 37577 75154 150308 187885 195971 300616 375770 391942 751540 783884 979855 1503080 1567768 1959710 3919420 7838840 10386463 20772926 41545852 51932315 83091704 103864630 138943439 207729260 277886878 415458520 555773756 694717195 1111547512 1389434390 2778868780 5557737560 7364002267 14728004534 29456009068 36820011335 58912018136 73640022670 147280045340 294560090680