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10774449504 = 2532713411113
BaseRepresentation
bin10100000100011010…
…10000110101100000
31000210220000202010100
422002031100311200
5134031224341004
64541045502400
7531000211140
oct120215206540
930726022110
1010774449504
114629994425
122108411a00
131029295710
14742d5a920
15430d89739
hex282350d60

10774449504 has 144 divisors (see below), whose sum is σ = 37710664992. Its totient is φ = 2841606144.

The previous prime is 10774449487. The next prime is 10774449541. The reversal of 10774449504 is 40594447701.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×107744495042 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10774449504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 179349 + ... + 231764.

It is an arithmetic number, because the mean of its divisors is an integer number (261879618).

Almost surely, 210774449504 is an apocalyptic number.

10774449504 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10774449504 is an abundant number, since it is smaller than the sum of its proper divisors (26936215488).

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

10774449504 is a wasteful number, since it uses less digits than its factorization.

10774449504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 411149 (or 411138 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 10774449504 in words is "ten billion, seven hundred seventy-four million, four hundred forty-nine thousand, five hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 28 32 36 39 42 48 52 56 63 72 78 84 91 96 104 112 117 126 144 156 168 182 208 224 234 252 273 288 312 336 364 416 468 504 546 624 672 728 819 936 1008 1092 1248 1456 1638 1872 2016 2184 2912 3276 3744 4368 6552 8736 13104 26208 411113 822226 1233339 1644452 2466678 2877791 3288904 3700017 4933356 5344469 5755582 6577808 7400034 8633373 9866712 10688938 11511164 13155616 14800068 16033407 17266746 19733424 21377876 23022328 25900119 29600136 32066814 34533492 37411283 39466848 42755752 46044656 48100221 51800238 59200272 64133628 69066984 74822566 85511504 92089312 96200442 103600476 112233849 118400544 128267256 138133968 149645132 171023008 192400884 207200952 224467698 256534512 276267936 299290264 336701547 384801768 414401904 448935396 513069024 598580528 673403094 769603536 828803808 897870792 1197161056 1346806188 1539207072 1795741584 2693612376 3591483168 5387224752 10774449504