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10975922944 = 28771281307
BaseRepresentation
bin10100011100011011…
…10100101100000000
31001022221010122201121
422032031310230000
5134434314013234
65013044042024
7535664543230
oct121615645400
931287118647
1010975922944
1147226933a8
122163993314
13105bc4757c
14761a03cc0
154438d54b4
hex28e374b00

10975922944 has 144 divisors (see below), whose sum is σ = 25564847616. Its totient is φ = 4606156800.

The previous prime is 10975922941. The next prime is 10975922963. The reversal of 10975922944 is 44922957901.

It is a Smith number, since the sum of its digits (52) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 10975922891 and 10975922900.

It is not an unprimeable number, because it can be changed into a prime (10975922941) 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, 35752039 + ... + 35752345.

It is an arithmetic number, because the mean of its divisors is an integer number (177533664).

Almost surely, 210975922944 is an apocalyptic number.

10975922944 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 10975922944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12782423808).

10975922944 is an abundant number, since it is smaller than the sum of its proper divisors (14588924672).

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

10975922944 is an equidigital number, since it uses as much as digits as its factorization.

10975922944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 682 (or 668 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 52.

The spelling of 10975922944 in words is "ten billion, nine hundred seventy-five million, nine hundred twenty-two thousand, nine hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 71 112 128 142 224 256 281 284 307 448 497 562 568 614 896 994 1124 1136 1228 1792 1967 1988 2149 2248 2272 2456 3934 3976 4298 4496 4544 4912 7868 7952 8596 8992 9088 9824 15736 15904 17192 17984 18176 19648 19951 21797 31472 31808 34384 35968 39296 39902 43594 62944 63616 68768 71936 78592 79804 86267 87188 125888 127232 137536 139657 152579 159608 172534 174376 251776 275072 279314 305158 319216 345068 348752 503552 550144 558628 603869 610316 638432 690136 697504 1117256 1207738 1220632 1276864 1380272 1395008 2234512 2415476 2441264 2553728 2760544 2790016 4469024 4830952 4882528 5107456 5521088 5580032 6124957 8938048 9661904 9765056 11042176 12249914 17876096 19323808 19530112 22084352 24499828 35752192 38647616 39060224 42874699 48999656 77295232 85749398 97999312 154590464 171498796 195998624 342997592 391997248 685995184 783994496 1371990368 1567988992 2743980736 5487961472 10975922944