Search a number
-
+
10466261310 = 23517197104173
BaseRepresentation
bin10011011111101011…
…00111100100111110
31000000102010011101210
421233311213210332
5132413330330220
64450320145250
7520235516241
oct115765474476
930012104353
1010466261310
114490a2803a
122041168226
13caa48b93b
14714055258
15413cae6e0
hex26fd6793e

10466261310 has 64 divisors (see below), whose sum is σ = 26731881792. Its totient is φ = 2613467136.

The previous prime is 10466261303. The next prime is 10466261353. The reversal of 10466261310 is 1316266401.

It is a super-2 number, since 2×104662613102 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48384 + ... + 152556.

It is an arithmetic number, because the mean of its divisors is an integer number (417685653).

Almost surely, 210466261310 is an apocalyptic number.

10466261310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10466261310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13365940896).

10466261310 is an abundant number, since it is smaller than the sum of its proper divisors (16265620482).

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

10466261310 is a wasteful number, since it uses less digits than its factorization.

10466261310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104397.

The product of its (nonzero) digits is 5184, while the sum is 30.

The spelling of 10466261310 in words is "ten billion, four hundred sixty-six million, two hundred sixty-one thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 85 102 170 197 255 394 510 591 985 1182 1970 2955 3349 5910 6698 10047 16745 20094 33490 50235 100470 104173 208346 312519 520865 625038 1041730 1562595 1770941 3125190 3541882 5312823 8854705 10625646 17709410 20522081 26564115 41044162 53128230 61566243 102610405 123132486 205220810 307831215 348875377 615662430 697750754 1046626131 1744376885 2093252262 3488753770 5233130655 10466261310