Search a number
-
+
19631306664 = 23331492412531
BaseRepresentation
bin10010010010000111…
…011111011110101000
31212200010202201002000
4102102013133132220
5310201103303124
613003555011000
71263324232134
oct222207373650
955603681060
1019631306664
1183643a7292
12397a599a60
131b0b1a7cb8
14d433503c4
1579d6dd6c9
hex4921df7a8

19631306664 has 128 divisors (see below), whose sum is σ = 55146960000. Its totient is φ = 6470323200.

The previous prime is 19631306647. The next prime is 19631306671. The reversal of 19631306664 is 46660313691.

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, 7755079 + ... + 7757609.

It is an arithmetic number, because the mean of its divisors is an integer number (430835625).

Almost surely, 219631306664 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 19631306664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27573480000).

19631306664 is an abundant number, since it is smaller than the sum of its proper divisors (35515653336).

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

19631306664 is a wasteful number, since it uses less digits than its factorization.

19631306664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2936 (or 2926 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 45.

The spelling of 19631306664 in words is "nineteen billion, six hundred thirty-one million, three hundred six thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 149 216 241 298 447 482 596 723 894 964 1192 1341 1446 1788 1928 2169 2531 2682 2892 3576 4023 4338 5062 5364 5784 6507 7593 8046 8676 10124 10728 13014 15186 16092 17352 20248 22779 26028 30372 32184 35909 45558 52056 60744 68337 71818 91116 107727 136674 143636 182232 215454 273348 287272 323181 377119 430908 546696 609971 646362 754238 861816 969543 1131357 1219942 1292724 1508476 1829913 1939086 2262714 2439884 2585448 3016952 3394071 3659826 3878172 4525428 4879768 5489739 6788142 7319652 7756344 9050856 10182213 10979478 13576284 14639304 16469217 20364426 21958956 27152568 32938434 40728852 43917912 65876868 81457704 90885679 131753736 181771358 272657037 363542716 545314074 727085432 817971111 1090628148 1635942222 2181256296 2453913333 3271884444 4907826666 6543768888 9815653332 19631306664