Search a number
-
+
1135534633344 = 27332897113417
BaseRepresentation
bin10000100001100011001…
…000110111000110000000
311000120000100202011202000
4100201203020313012000
5122101033331231334
62225354000024000
7145016415061446
oct20414310670600
94016010664660
101135534633344
113a8639773a71
121640a8302000
13831079bbc37
143cd629c2b96
151e81043b299
hex10863237180

1135534633344 has 128 divisors (see below), whose sum is σ = 3352590712800. Its totient is φ = 378377551872.

The previous prime is 1135534633307. The next prime is 1135534633379. The reversal of 1135534633344 is 4433364355311.

1135534633344 is a `hidden beast` number, since 1 + 1 + 3 + 5 + 5 + 3 + 4 + 633 + 3 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 1135534633344.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9955324 + ... + 10068740.

Almost surely, 21135534633344 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 1135534633344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1676295356400).

1135534633344 is an abundant number, since it is smaller than the sum of its proper divisors (2217056079456).

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

1135534633344 is a wasteful number, since it uses less digits than its factorization.

1135534633344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116337 (or 116319 counting only the distinct ones).

The product of its digits is 2332800, while the sum is 45.

Adding to 1135534633344 its reverse (4433364355311), we get a palindrome (5568898988655).

The spelling of 1135534633344 in words is "one trillion, one hundred thirty-five billion, five hundred thirty-four million, six hundred thirty-three thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 288 384 432 576 864 1152 1728 2897 3456 5794 8691 11588 17382 23176 26073 34764 46352 52146 69528 78219 92704 104292 113417 139056 156438 185408 208584 226834 278112 312876 340251 370816 417168 453668 556224 625752 680502 834336 907336 1020753 1112448 1251504 1361004 1668672 1814672 2041506 2503008 2722008 3062259 3337344 3629344 4083012 5006016 5444016 6124518 7258688 8166024 10012032 10888032 12249036 14517376 16332048 21776064 24498072 32664096 43552128 48996144 65328192 97992288 130656384 195984576 328569049 391969152 657138098 985707147 1314276196 1971414294 2628552392 2957121441 3942828588 5257104784 5914242882 7885657176 8871364323 10514209568 11828485764 15771314352 17742728646 21028419136 23656971528 31542628704 35485457292 42056838272 47313943056 63085257408 70970914584 94627886112 126170514816 141941829168 189255772224 283883658336 378511544448 567767316672 1135534633344