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10755474961 = 72111031511283
BaseRepresentation
bin10100000010001001…
…11000011000010001
31000202120022201221111
422001010320120101
5134011400144321
64535131053321
7530350012600
oct120104703021
930676281844
1010755474961
11461a204590
122101ba1241
131025380c8a
1474061ba37
1542e38c5e1
hex281138611

10755474961 has 48 divisors (see below), whose sum is σ = 13883470848. Its totient is φ = 8238132000.

The previous prime is 10755474953. The next prime is 10755474979. The reversal of 10755474961 is 16947455701.

It is not a de Polignac number, because 10755474961 - 23 = 10755474953 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10755474911) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8382426 + ... + 8383708.

It is an arithmetic number, because the mean of its divisors is an integer number (289238976).

Almost surely, 210755474961 is an apocalyptic number.

10755474961 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10755474961 is a deficient number, since it is larger than the sum of its proper divisors (3127995887).

10755474961 is a wasteful number, since it uses less digits than its factorization.

10755474961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1562 (or 1555 counting only the distinct ones).

The product of its (nonzero) digits is 1058400, while the sum is 49.

The spelling of 10755474961 in words is "ten billion, seven hundred fifty-five million, four hundred seventy-four thousand, nine hundred sixty-one".

Divisors: 1 7 11 49 77 103 151 539 721 1057 1133 1283 1661 5047 7399 7931 8981 11627 14113 15553 55517 62867 81389 98791 108871 132149 171083 193733 691537 762097 925043 1197581 1356131 1453639 2131063 6475301 8383067 9492917 10175473 14917441 19954499 71228311 104422087 139681493 219499489 977770451 1536496423 10755474961