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10756937680 = 245177909513
BaseRepresentation
bin10100000010010100…
…11101011111010000
31000202200002001102021
422001022131133100
5134012234001210
64535222301224
7530365314226
oct120112353720
930680061367
1010756937680
114620013545
122102587814
1310257739a8
147408bcb16
1542e57abda
hex28129d7d0

10756937680 has 40 divisors (see below), whose sum is σ = 26481052872. Its totient is φ = 4049670144.

The previous prime is 10756937671. The next prime is 10756937693. The reversal of 10756937680 is 8673965701.

It can be written as a sum of positive squares in 4 ways, for example, as 5603420736 + 5153516944 = 74856^2 + 71788^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3953397 + ... + 3956116.

Almost surely, 210756937680 is an apocalyptic number.

10756937680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10756937680 is an abundant number, since it is smaller than the sum of its proper divisors (15724115192).

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

10756937680 is a wasteful number, since it uses less digits than its factorization.

10756937680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7909543 (or 7909537 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 52.

The spelling of 10756937680 in words is "ten billion, seven hundred fifty-six million, nine hundred thirty-seven thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 680 1360 7909513 15819026 31638052 39547565 63276104 79095130 126552208 134461721 158190260 268923442 316380520 537846884 632761040 672308605 1075693768 1344617210 2151387536 2689234420 5378468840 10756937680