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11274567744 = 2631110749891
BaseRepresentation
bin10101000000000010…
…00100000001000000
31002002202002101101010
422200001010001000
5141042242131434
65102433040520
7546252146616
oct124001040100
932082071333
1011274567744
114866221690
1222279b6140
1310a8a8c57b
1478d5436b6
1545ec279e9
hex2a0044040

11274567744 has 112 divisors (see below), whose sum is σ = 32847296256. Its totient is φ = 3384537600.

The previous prime is 11274567727. The next prime is 11274567749. The reversal of 11274567744 is 44776547211.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 11274567693 and 11274567702.

It is not an unprimeable number, because it can be changed into a prime (11274567749) 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, 201039 + ... + 250929.

Almost surely, 211274567744 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 11274567744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16423648128).

11274567744 is an abundant number, since it is smaller than the sum of its proper divisors (21572728512).

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

11274567744 is a wasteful number, since it uses less digits than its factorization.

11274567744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50024 (or 50014 counting only the distinct ones).

The product of its digits is 1317120, while the sum is 48.

The spelling of 11274567744 in words is "eleven billion, two hundred seventy-four million, five hundred sixty-seven thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 107 132 176 192 214 264 321 352 428 528 642 704 856 1056 1177 1284 1712 2112 2354 2568 3424 3531 4708 5136 6848 7062 9416 10272 14124 18832 20544 28248 37664 49891 56496 75328 99782 112992 149673 199564 225984 299346 399128 548801 598692 798256 1097602 1197384 1596512 1646403 2195204 2394768 3193024 3292806 4390408 4789536 5338337 6585612 8780816 9579072 10676674 13171224 16015011 17561632 21353348 26342448 32030022 35123264 42706696 52684896 58721707 64060044 85413392 105369792 117443414 128120088 170826784 176165121 234886828 256240176 341653568 352330242 469773656 512480352 704660484 939547312 1024960704 1409320968 1879094624 2818641936 3758189248 5637283872 11274567744