Search a number
-
+
646641363133026 = 23412747296646231
BaseRepresentation
bin1001001100000111011110110…
…0101111110010001001100010
310010210120022101102020122220000
42103001313230233302021202
51134224033002430224101
610211142535145400430
7253130203535450562
oct22301675457621142
93123508342218800
10646641363133026
11178049075646018
1260637518199116
13219a8032684c01
14b597875020da2
154eb595c1d8486
hex24c1decbf2262

646641363133026 has 80 divisors (see below), whose sum is σ = 1460673776855040. Its totient is φ = 213804646493760.

The previous prime is 646641363133013. The next prime is 646641363133039. The reversal of 646641363133026 is 620331363146646.

646641363133026 is a `hidden beast` number, since 6 + 4 + 6 + 6 + 4 + 13 + 6 + 313 + 302 + 6 = 666.

646641363133026 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (646641363133013) and next prime (646641363133039).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 93971331 + ... + 100617561.

It is an arithmetic number, because the mean of its divisors is an integer number (18258422210688).

Almost surely, 2646641363133026 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 646641363133026, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (730336888427520).

646641363133026 is an abundant number, since it is smaller than the sum of its proper divisors (814032413722014).

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

646641363133026 is a wasteful number, since it uses less digits than its factorization.

646641363133026 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6651101 (or 6651092 counting only the distinct ones).

The product of its (nonzero) digits is 20155392, while the sum is 54.

The spelling of 646641363133026 in words is "six hundred forty-six trillion, six hundred forty-one billion, three hundred sixty-three million, one hundred thirty-three thousand, twenty-six".

Divisors: 1 2 3 6 9 18 27 54 81 127 162 254 381 762 1143 2286 3429 4729 6858 9458 10287 14187 20574 28374 42561 85122 127683 255366 383049 600583 766098 1201166 1801749 3603498 5405247 6646231 10810494 13292462 16215741 19938693 32431482 39877386 48647223 59816079 97294446 119632158 179448237 358896474 538344711 844071337 1076689422 1688142674 2532214011 5064428022 7596642033 15193284066 22789926099 31430026399 45579852198 62860052798 68369778297 94290079197 136739556594 188580158394 282870237591 565740475182 848610712773 1697221425546 2545832138319 3991613352673 5091664276638 7983226705346 11974840058019 23949680116038 35924520174057 71849040348114 107773560522171 215547121044342 323320681566513 646641363133026