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11104778272 = 257245715497
BaseRepresentation
bin10100101011110010…
…10111100000100000
31001122220121012000011
422111321113200200
5140220310401042
65033525534304
7542121025600
oct122571274040
931586535004
1011104778272
1147893a3305
12219ab74394
13107c852023
14774b86c00
1544ed89a17
hex295e57820

11104778272 has 72 divisors (see below), whose sum is σ = 25489219644. Its totient is φ = 4748470272.

The previous prime is 11104778257. The next prime is 11104778287. The reversal of 11104778272 is 27287740111.

It is an interprime number because it is at equal distance from previous prime (11104778257) and next prime (11104778287).

It can be written as a sum of positive squares in 2 ways, for example, as 8470625296 + 2634152976 = 92036^2 + 51324^2 .

It is a super-2 number, since 2×111047782722 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 708828 + ... + 724324.

Almost surely, 211104778272 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 11104778272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12744609822).

11104778272 is an abundant number, since it is smaller than the sum of its proper divisors (14384441372).

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

11104778272 is a wasteful number, since it uses less digits than its factorization.

11104778272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15978 (or 15963 counting only the distinct ones).

The product of its (nonzero) digits is 43904, while the sum is 40.

The spelling of 11104778272 in words is "eleven billion, one hundred four million, seven hundred seventy-eight thousand, two hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 196 224 392 457 784 914 1568 1828 3199 3656 6398 7312 12796 14624 15497 22393 25592 30994 44786 51184 61988 89572 102368 108479 123976 179144 216958 247952 358288 433916 495904 716576 759353 867832 1518706 1735664 3037412 3471328 6074824 7082129 12149648 14164258 24299296 28328516 49574903 56657032 99149806 113314064 198299612 226628128 347024321 396599224 694048642 793198448 1388097284 1586396896 2776194568 5552389136 11104778272