Search a number
-
+
10471958820 = 2232587766337
BaseRepresentation
bin10011100000010110…
…10110100100100100
31000000210211121220200
421300023112210210
5132421310140240
64451042230500
7520335116121
oct116013264444
930023747820
1010471958820
114494169724
122043055430
13cab70504b
14714ad9748
15414537930
hex2702d6924

10471958820 has 72 divisors (see below), whose sum is σ = 31801641144. Its totient is φ = 2789296128.

The previous prime is 10471958803. The next prime is 10471958821. The reversal of 10471958820 is 2885917401.

10471958820 is a `hidden beast` number, since 1 + 0 + 47 + 1 + 9 + 588 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2596106304 + 7875852516 = 50952^2 + 88746^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (10471958821) 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, 124692 + ... + 191028.

Almost surely, 210471958820 is an apocalyptic number.

10471958820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10471958820 is an abundant number, since it is smaller than the sum of its proper divisors (21329682324).

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

10471958820 is a wasteful number, since it uses less digits than its factorization.

10471958820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67229 (or 67224 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 45.

The spelling of 10471958820 in words is "ten billion, four hundred seventy-one million, nine hundred fifty-eight thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 877 1754 2631 3508 4385 5262 7893 8770 10524 13155 15786 17540 26310 31572 39465 52620 66337 78930 132674 157860 199011 265348 331685 398022 597033 663370 796044 995055 1194066 1326740 1990110 2388132 2985165 3980220 5970330 11940660 58177549 116355098 174532647 232710196 290887745 349065294 523597941 581775490 698130588 872663235 1047195882 1163550980 1745326470 2094391764 2617989705 3490652940 5235979410 10471958820