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11454262042624 = 21361216110607
BaseRepresentation
bin1010011010101110011100…
…1110000110000000000000
31111120000110012211102021121
42212223213032012000000
53000131312040330444
640210003151402024
72261354201633332
oct246534716060000
944500405742247
1011454262042624
1137167a8347035
12134bab5223314
136511947c170b
142b8564111452
1514ce41bd0084
hexa6ae7386000

11454262042624 has 112 divisors (see below), whose sum is σ = 23295622574016. Its totient is φ = 5630106009600.

The previous prime is 11454262042621. The next prime is 11454262042633. The reversal of 11454262042624 is 42624026245411.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11454262042621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1079872329 + ... + 1079882935.

Almost surely, 211454262042624 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 11454262042624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11647811287008).

11454262042624 is an abundant number, since it is smaller than the sum of its proper divisors (11841360531392).

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

11454262042624 is an equidigital number, since it uses as much as digits as its factorization.

11454262042624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12855 (or 12831 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 43.

The spelling of 11454262042624 in words is "eleven trillion, four hundred fifty-four billion, two hundred sixty-two million, forty-two thousand, six hundred twenty-four".

Divisors: 1 2 4 8 16 32 61 64 122 128 244 256 488 512 976 1024 1952 2048 2161 3904 4096 4322 7808 8192 8644 10607 15616 17288 21214 31232 34576 42428 62464 69152 84856 124928 131821 138304 169712 249856 263642 276608 339424 499712 527284 553216 647027 678848 1054568 1106432 1294054 1357696 2109136 2212864 2588108 2715392 4218272 4425728 5176216 5430784 8436544 8851456 10352432 10861568 16873088 17702912 20704864 21723136 22921727 33746176 41409728 43446272 45843454 67492352 82819456 86892544 91686908 134984704 165638912 183373816 269969408 331277824 366747632 539938816 662555648 733495264 1079877632 1325111296 1398225347 1466990528 2650222592 2796450694 2933981056 5300445184 5592901388 5867962112 11185802776 11735924224 22371605552 23471848448 44743211104 46943696896 89486422208 93887393792 178972844416 187774787584 357945688832 715891377664 1431782755328 2863565510656 5727131021312 11454262042624