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11274584944 = 2473711324077
BaseRepresentation
bin10101000000000010…
…01000001101110000
31002002202010020222011
422200001020031300
5141042243204234
65102433252304
7546252251020
oct124001101560
932082106864
1011274584944
1148662335a7
122227a04094
1310a8a9734c
1478d549a80
1545ec2cb64
hex2a0048370

11274584944 has 80 divisors (see below), whose sum is σ = 25867862208. Its totient is φ = 4659572736.

The previous prime is 11274584927. The next prime is 11274584947. The reversal of 11274584944 is 44948547211.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11274584947) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 456234 + ... + 480310.

Almost surely, 211274584944 is an apocalyptic number.

11274584944 is a gapful number since it is divisible by the number (14) 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 11274584944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12933931104).

11274584944 is an abundant number, since it is smaller than the sum of its proper divisors (14593277264).

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

11274584944 is a wasteful number, since it uses less digits than its factorization.

11274584944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24242 (or 24236 counting only the distinct ones).

The product of its digits is 1290240, while the sum is 49.

The spelling of 11274584944 in words is "eleven billion, two hundred seventy-four million, five hundred eighty-four thousand, nine hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 37 56 74 112 113 148 226 259 296 452 518 592 791 904 1036 1582 1808 2072 3164 4144 4181 6328 8362 12656 16724 24077 29267 33448 48154 58534 66896 96308 117068 168539 192616 234136 337078 385232 468272 674156 890849 1348312 1781698 2696624 2720701 3563396 5441402 6235943 7126792 10882804 12471886 14253584 19044907 21765608 24943772 38089814 43531216 49887544 76179628 99775088 100665937 152359256 201331874 304718512 402663748 704661559 805327496 1409323118 1610654992 2818646236 5637292472 11274584944