Search a number
-
+
10047434460 = 22357191259077
BaseRepresentation
bin10010101101101111…
…11010111011011100
3221221020000112222020
421112313322323130
5131034120400320
64340555220140
7503661532560
oct112667727334
927836015866
1010047434460
114296573248
121b44a47650
13c41787bbb
146b458d6a0
153dc12c940
hex256dfaedc

10047434460 has 96 divisors (see below), whose sum is σ = 33844016640. Its totient is φ = 2175683328.

The previous prime is 10047434429. The next prime is 10047434473. The reversal of 10047434460 is 6443474001.

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, 621559 + ... + 637518.

It is an arithmetic number, because the mean of its divisors is an integer number (352541840).

Almost surely, 210047434460 is an apocalyptic number.

10047434460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10047434460 is an abundant number, since it is smaller than the sum of its proper divisors (23796582180).

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

10047434460 is a wasteful number, since it uses less digits than its factorization.

10047434460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1259115 (or 1259113 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 33.

The spelling of 10047434460 in words is "ten billion, forty-seven million, four hundred thirty-four thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 19 20 21 28 30 35 38 42 57 60 70 76 84 95 105 114 133 140 190 210 228 266 285 380 399 420 532 570 665 798 1140 1330 1596 1995 2660 3990 7980 1259077 2518154 3777231 5036308 6295385 7554462 8813539 12590770 15108924 17627078 18886155 23922463 25181540 26440617 35254156 37772310 44067695 47844926 52881234 71767389 75544620 88135390 95689852 105762468 119612315 132203085 143534778 167457241 176270780 239224630 264406170 287069556 334914482 358836945 478449260 502371723 528812340 669828964 717673890 837286205 1004743446 1435347780 1674572410 2009486892 2511858615 3349144820 5023717230 10047434460