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11774956480 = 265739713241
BaseRepresentation
bin10101111011101011…
…11001001111000000
31010101121122202200021
422331311321033000
5143103342101410
65224230103224
7564536323120
oct127565711700
933347582607
1011774956480
114aa27240a1
1223474aab14
13115864c591
147d9b9ac80
1548db1aeda
hex2bdd793c0

11774956480 has 112 divisors (see below), whose sum is σ = 32127846336. Its totient is φ = 4026654720.

The previous prime is 11774956477. The next prime is 11774956481. The reversal of 11774956480 is 8465947711.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11774956481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 882660 + ... + 895900.

Almost surely, 211774956480 is an apocalyptic number.

11774956480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11774956480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16063923168).

11774956480 is an abundant number, since it is smaller than the sum of its proper divisors (20352889856).

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

11774956480 is a wasteful number, since it uses less digits than its factorization.

11774956480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13662 (or 13652 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 52.

The spelling of 11774956480 in words is "eleven billion, seven hundred seventy-four million, nine hundred fifty-six thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 140 160 224 280 320 397 448 560 794 1120 1588 1985 2240 2779 3176 3970 5558 6352 7940 11116 12704 13241 13895 15880 22232 25408 26482 27790 31760 44464 52964 55580 63520 66205 88928 92687 105928 111160 127040 132410 177856 185374 211856 222320 264820 370748 423712 444640 463435 529640 741496 847424 889280 926870 1059280 1482992 1853740 2118560 2965984 3707480 4237120 5256677 5931968 7414960 10513354 14829920 21026708 26283385 29659840 36796739 42053416 52566770 73593478 84106832 105133540 147186956 168213664 183983695 210267080 294373912 336427328 367967390 420534160 588747824 735934780 841068320 1177495648 1471869560 1682136640 2354991296 2943739120 5887478240 11774956480