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11042290944 = 28324792661
BaseRepresentation
bin10100100100010101…
…11111110100000000
31001111120000111111200
422102022333310000
5140103311302234
65023414341200
7540431632026
oct122212776400
931446014450
1011042290944
1147570a3693
12218205a800
13106c913b89
1476a75c716
15449644d99
hex2922bfd00

11042290944 has 54 divisors (see below), whose sum is σ = 31837653666. Its totient is φ = 3680762880.

The previous prime is 11042290939. The next prime is 11042290951. The reversal of 11042290944 is 44909224011.

It can be written as a sum of positive squares in only one way, i.e., 10345330944 + 696960000 = 101712^2 + 26400^2 .

It is a super-2 number, since 2×110422909442 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 11042290899 and 11042290908.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2394027 + ... + 2398634.

It is an arithmetic number, because the mean of its divisors is an integer number (589586179).

Almost surely, 211042290944 is an apocalyptic number.

It is an amenable number.

11042290944 is an abundant number, since it is smaller than the sum of its proper divisors (20795362722).

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

11042290944 is an equidigital number, since it uses as much as digits as its factorization.

11042290944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4792683 (or 4792666 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 11042290944 in words is "eleven billion, forty-two million, two hundred ninety thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2304 4792661 9585322 14377983 19170644 28755966 38341288 43133949 57511932 76682576 86267898 115023864 153365152 172535796 230047728 306730304 345071592 460095456 613460608 690143184 920190912 1226921216 1380286368 1840381824 2760572736 3680763648 5521145472 11042290944