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10703767428 = 22325323324077
BaseRepresentation
bin10011111011111111…
…01000011110000100
31000121222000201112200
421331333220132010
5133410131024203
64530042514500
7526151344014
oct117577503604
930558021480
1010703767428
1145a2aa7992
1220a8805a30
1310177485c3
147377dbc44
15429a769a3
hex27dfe8784

10703767428 has 72 divisors (see below), whose sum is σ = 27686714328. Its totient is φ = 3485434368.

The previous prime is 10703767421. The next prime is 10703767429. The reversal of 10703767428 is 82476730701.

It can be written as a sum of positive squares in 4 ways, for example, as 3594242304 + 7109525124 = 59952^2 + 84318^2 .

It is a super-2 number, since 2×107037674282 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10703767421) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 432526 + ... + 456602.

It is an arithmetic number, because the mean of its divisors is an integer number (384537699).

Almost surely, 210703767428 is an apocalyptic number.

10703767428 is a gapful number since it is divisible by the number (18) 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 10703767428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13843357164).

10703767428 is an abundant number, since it is smaller than the sum of its proper divisors (16982946900).

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

10703767428 is a wasteful number, since it uses less digits than its factorization.

10703767428 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24373 (or 24368 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 45.

The spelling of 10703767428 in words is "ten billion, seven hundred three million, seven hundred sixty-seven thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 53 106 159 212 233 318 466 477 636 699 932 954 1398 1908 2097 2796 4194 8388 12349 24077 24698 37047 48154 49396 72231 74094 96308 111141 144462 148188 216693 222282 288924 433386 444564 866772 1276081 2552162 3828243 5104324 5609941 7656486 11219882 11484729 15312972 16829823 22439764 22969458 33659646 45938916 50489469 67319292 100978938 201957876 297326873 594653746 891980619 1189307492 1783961238 2675941857 3567922476 5351883714 10703767428