Search a number
-
+
10628460440 = 2351320439347
BaseRepresentation
bin10011110011000000…
…10110111110011000
31000102201022201202222
421321200112332120
5133231341213230
64514352443212
7524245265063
oct117140267630
930381281688
1010628460440
114564541704
122087549508
131004c6c360
1472b7d78da
1542314d6e5
hex279816f98

10628460440 has 32 divisors (see below), whose sum is σ = 25753578480. Its totient is φ = 3924354432.

The previous prime is 10628460433. The next prime is 10628460497. The reversal of 10628460440 is 4406482601.

10628460440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×106284604402 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10628460440.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10219154 + ... + 10220193.

Almost surely, 210628460440 is an apocalyptic number.

10628460440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10628460440 is an abundant number, since it is smaller than the sum of its proper divisors (15125118040).

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

10628460440 is a wasteful number, since it uses less digits than its factorization.

10628460440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20439371 (or 20439367 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 35.

The spelling of 10628460440 in words is "ten billion, six hundred twenty-eight million, four hundred sixty thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 20439347 40878694 81757388 102196735 163514776 204393470 265711511 408786940 531423022 817573880 1062846044 1328557555 2125692088 2657115110 5314230220 10628460440