Search a number
-
+
1136104067328 = 28319103755903
BaseRepresentation
bin10000100010000101000…
…101000101000100000000
311000121111001020102022120
4100202011011011010000
5122103220120123303
62225530301004240
7145036501144026
oct20420505050400
94017431212276
101136104067328
113a890114516a
12164226b53680
1383198975019
143cdb8490716
151e84541c553
hex10885145100

1136104067328 has 144 divisors (see below), whose sum is σ = 3213740974080. Its totient is φ = 355286034432.

The previous prime is 1136104067311. The next prime is 1136104067333. The reversal of 1136104067328 is 8237604016311.

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 1136104067328.

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, 1125025 + ... + 1880927.

Almost surely, 21136104067328 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 1136104067328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1606870487040).

1136104067328 is an abundant number, since it is smaller than the sum of its proper divisors (2077636906752).

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

1136104067328 is a wasteful number, since it uses less digits than its factorization.

1136104067328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 756044 (or 756030 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The spelling of 1136104067328 in words is "one trillion, one hundred thirty-six billion, one hundred four million, sixty-seven thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 103 114 128 152 192 206 228 256 304 309 384 412 456 608 618 768 824 912 1216 1236 1648 1824 1957 2432 2472 3296 3648 3914 4864 4944 5871 6592 7296 7828 9888 11742 13184 14592 15656 19776 23484 26368 31312 39552 46968 62624 79104 93936 125248 187872 250496 375744 500992 751488 755903 1502976 1511806 2267709 3023612 4535418 6047224 9070836 12094448 14362157 18141672 24188896 28724314 36283344 43086471 48377792 57448628 72566688 77858009 86172942 96755584 114897256 145133376 155716018 172345884 193511168 229794512 233574027 290266752 311432036 344691768 459589024 467148054 580533504 622864072 689383536 919178048 934296108 1245728144 1378767072 1479302171 1838356096 1868592216 2491456288 2757534144 2958604342 3676712192 3737184432 4437906513 4982912576 5515068288 5917208684 7474368864 8875813026 9965825152 11030136576 11834417368 14948737728 17751626052 19931650304 23668834736 29897475456 35503252104 47337669472 59794950912 71006504208 94675338944 142013008416 189350677888 284026016832 378701355776 568052033664 1136104067328