Search a number
-
+
2492410984704 = 283540065763
BaseRepresentation
bin100100010001001111010…
…001010111100100000000
322211021100101222122100000
4210101033101113210000
5311313424203002304
65144555305200000
7345033160546404
oct44211721274400
98737311878300
102492410984704
11881031029813
12343067490000
13151058358444
14888c1c2d104
1544c77748939
hex2444f457900

2492410984704 has 108 divisors (see below), whose sum is σ = 7452392367056. Its totient is φ = 830803640832.

The previous prime is 2492410984691. The next prime is 2492410984711. The reversal of 2492410984704 is 4074890142942.

2492410984704 is a `hidden beast` number, since 2 + 49 + 2 + 41 + 0 + 98 + 470 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (108).

It is a super-2 number, since 2×24924109847042 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 19970674 + ... + 20095089.

Almost surely, 22492410984704 is an apocalyptic number.

2492410984704 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2492410984704 is an abundant number, since it is smaller than the sum of its proper divisors (4959981382352).

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

2492410984704 is an frugal number, since it uses more digits than its factorization.

2492410984704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40065794 (or 40065768 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 2492410984704 in words is "two trillion, four hundred ninety-two billion, four hundred ten million, nine hundred eighty-four thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 256 288 324 384 432 486 576 648 768 864 972 1152 1296 1728 1944 2304 2592 3456 3888 5184 6912 7776 10368 15552 20736 31104 62208 40065763 80131526 120197289 160263052 240394578 320526104 360591867 480789156 641052208 721183734 961578312 1081775601 1282104416 1442367468 1923156624 2163551202 2564208832 2884734936 3245326803 3846313248 4327102404 5128417664 5769469872 6490653606 7692626496 8654204808 9735980409 10256835328 11538939744 12981307212 15385252992 17308409616 19471960818 23077879488 25962614424 30770505984 34616819232 38943921636 46155758976 51925228848 69233638464 77887843272 92311517952 103850457696 138467276928 155775686544 207700915392 276934553856 311551373088 415401830784 623102746176 830803661568 1246205492352 2492410984704