Search a number
-
+
10771937784 = 2332316121297
BaseRepresentation
bin10100000100000111…
…01011100111111000
31000210201022010200200
422002003223213320
5134030104002114
64540520002200
7530636650266
oct120203534770
930721263620
1010771937784
114628529323
122107600360
1310288c63aa
147428a5436
15430a40409
hex2820eb9f8

10771937784 has 144 divisors (see below), whose sum is σ = 30640484160. Its totient is φ = 3415219200.

The previous prime is 10771937731. The next prime is 10771937791. The reversal of 10771937784 is 48773917701.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 10771937784.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8304624 + ... + 8305920.

It is an arithmetic number, because the mean of its divisors is an integer number (212781140).

Almost surely, 210771937784 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 10771937784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15320242080).

10771937784 is an abundant number, since it is smaller than the sum of its proper divisors (19868546376).

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

10771937784 is a wasteful number, since it uses less digits than its factorization.

10771937784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1462 (or 1394 counting only the distinct ones).

The product of its (nonzero) digits is 2074464, while the sum is 54.

The spelling of 10771937784 in words is "ten billion, seven hundred seventy-one million, nine hundred thirty-seven thousand, seven hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 31 36 61 62 72 93 122 124 183 186 244 248 279 366 372 488 549 558 732 744 1098 1116 1297 1464 1891 2196 2232 2594 3721 3782 3891 4392 5188 5673 7442 7564 7782 10376 11163 11346 11673 14884 15128 15564 17019 22326 22692 23346 29768 31128 33489 34038 40207 44652 45384 46692 66978 68076 79117 80414 89304 93384 115351 120621 133956 136152 158234 160828 230702 237351 241242 267912 316468 321656 346053 361863 461404 474702 482484 632936 692106 712053 723726 922808 949404 964968 1038159 1384212 1424106 1447452 1898808 2076318 2452627 2768424 2848212 2894904 4152636 4826137 4905254 5696424 7357881 8305272 9652274 9810508 14478411 14715762 19304548 19621016 22073643 28956822 29431524 38609096 43435233 44147286 57913644 58863048 86870466 88294572 115827288 149610247 173740932 176589144 299220494 347481864 448830741 598440988 897661482 1196881976 1346492223 1795322964 2692984446 3590645928 5385968892 10771937784