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10683740448 = 2532151245671
BaseRepresentation
bin10011111001100110…
…01111000100100000
31000120120100020200200
421330303033010200
5133340014143243
64524045345200
7525516203223
oct117463170440
930516306620
1010683740448
114592769367
1220a1b68200
131013555b14
14734ca75ba
15427e1cad3
hex27cccf120

10683740448 has 72 divisors (see below), whose sum is σ = 30583215936. Its totient is φ = 3537648000.

The previous prime is 10683740437. The next prime is 10683740449. The reversal of 10683740448 is 84404738601.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-3 number, since 3×106837404483 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (10683740449) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 79348 + ... + 166323.

It is an arithmetic number, because the mean of its divisors is an integer number (424766888).

Almost surely, 210683740448 is an apocalyptic number.

10683740448 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10683740448 is an abundant number, since it is smaller than the sum of its proper divisors (19899475488).

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

10683740448 is a wasteful number, since it uses less digits than its factorization.

10683740448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245838 (or 245827 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 10683740448 in words is "ten billion, six hundred eighty-three million, seven hundred forty thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 151 288 302 453 604 906 1208 1359 1812 2416 2718 3624 4832 5436 7248 10872 14496 21744 43488 245671 491342 737013 982684 1474026 1965368 2211039 2948052 3930736 4422078 5896104 7861472 8844156 11792208 17688312 23584416 35376624 37096321 70753248 74192642 111288963 148385284 222577926 296770568 333866889 445155852 593541136 667733778 890311704 1187082272 1335467556 1780623408 2670935112 3561246816 5341870224 10683740448