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11742793704 = 23322314947591
BaseRepresentation
bin10101110111110110…
…01100111111101000
31010022101010201122100
422323323030333220
5143022123344304
65221120453400
7563666046105
oct127373147750
933271121570
1011742793704
114a86556794
12233877a260
131151a9b055
147d57c7aac
1548adb6439
hex2bbeccfe8

11742793704 has 96 divisors (see below), whose sum is σ = 33409584000. Its totient is φ = 3718872960.

The previous prime is 11742793703. The next prime is 11742793721. The reversal of 11742793704 is 40739724711.

11742793704 is a `hidden beast` number, since 1 + 1 + 7 + 4 + 279 + 370 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 11742793704.

It is not an unprimeable number, because it can be changed into a prime (11742793703) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 222949 + ... + 270539.

It is an arithmetic number, because the mean of its divisors is an integer number (348016500).

Almost surely, 211742793704 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 11742793704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16704792000).

11742793704 is an abundant number, since it is smaller than the sum of its proper divisors (21666790296).

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

11742793704 is a wasteful number, since it uses less digits than its factorization.

11742793704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47775 (or 47768 counting only the distinct ones).

The product of its (nonzero) digits is 296352, while the sum is 45.

The spelling of 11742793704 in words is "eleven billion, seven hundred forty-two million, seven hundred ninety-three thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 36 46 69 72 92 138 149 184 207 276 298 414 447 552 596 828 894 1192 1341 1656 1788 2682 3427 3576 5364 6854 10281 10728 13708 20562 27416 30843 41124 47591 61686 82248 95182 123372 142773 190364 246744 285546 380728 428319 571092 856638 1094593 1142184 1713276 2189186 3283779 3426552 4378372 6567558 7091059 8756744 9851337 13135116 14182118 19702674 21273177 26270232 28364236 39405348 42546354 56728472 63819531 78810696 85092708 127639062 163094357 170185416 255278124 326188714 489283071 510556248 652377428 978566142 1304754856 1467849213 1957132284 2935698426 3914264568 5871396852 11742793704