Search a number
-
+
426711842180 = 2251325118733491
BaseRepresentation
bin1100011010110100000…
…00011111110110000100
31111210102021121112210222
412031122000133312010
523442401212422210
6524010111403512
742554213545631
oct6153200376604
91453367545728
10426711842180
11154a7078a828
126a848b23598
1331314709310
141691da35188
15b176a0d655
hex635a01fd84

426711842180 has 96 divisors (see below), whose sum is σ = 969664929408. Its totient is φ = 156798720000.

The previous prime is 426711842153. The next prime is 426711842189. The reversal of 426711842180 is 81248117624.

It is not an unprimeable number, because it can be changed into a prime (426711842189) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 122230235 + ... + 122233725.

It is an arithmetic number, because the mean of its divisors is an integer number (10100676348).

Almost surely, 2426711842180 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 426711842180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (484832464704).

426711842180 is an abundant number, since it is smaller than the sum of its proper divisors (542953087228).

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

426711842180 is a wasteful number, since it uses less digits than its factorization.

426711842180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5637 (or 5635 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 44.

The spelling of 426711842180 in words is "four hundred twenty-six billion, seven hundred eleven million, eight hundred forty-two thousand, one hundred eighty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 251 260 502 1004 1255 1873 2510 3263 3491 3746 5020 6526 6982 7492 9365 13052 13964 16315 17455 18730 24349 32630 34910 37460 45383 48698 65260 69820 90766 97396 121745 181532 226915 243490 453830 470123 486980 876241 907660 940246 1752482 1880492 2350615 3504964 4381205 4701230 6111599 6538643 8762410 9402460 11391133 12223198 13077286 17524820 22782266 24446396 26154572 30557995 32693215 45564532 56955665 61115990 65386430 85002359 113911330 122231980 130772860 170004718 227822660 340009436 425011795 850023590 1641199393 1700047180 3282398786 6564797572 8205996965 16411993930 21335592109 32823987860 42671184218 85342368436 106677960545 213355921090 426711842180