Search a number
-
+
43641433266004 = 22719674013053291
BaseRepresentation
bin10011110110001000100000…
…01000001001011101010100
312201112002011112001100002101
421323010100020021131110
521210010123404003004
6232452333032451444
712122663254102540
oct1173042010113524
9181462145040071
1043641433266004
11129a6256392342
124a8a003849b84
131b474a5a325c2
14aac384314a20
1550a331a2bba4
hex27b110209754

43641433266004 has 96 divisors (see below), whose sum is σ = 93480564925440. Its totient is φ = 17411080896000.

The previous prime is 43641433265977. The next prime is 43641433266019. The reversal of 43641433266004 is 40066233414634.

It is a super-2 number, since 2×436414332660042 (a number of 28 digits) contains 22 as substring.

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, 12766599 + ... + 15819889.

It is an arithmetic number, because the mean of its divisors is an integer number (973755884640).

Almost surely, 243641433266004 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 43641433266004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46740282462720).

43641433266004 is an abundant number, since it is smaller than the sum of its proper divisors (49839131659436).

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

43641433266004 is a wasteful number, since it uses less digits than its factorization.

43641433266004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3053789 (or 3053787 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 46.

The spelling of 43641433266004 in words is "forty-three trillion, six hundred forty-one billion, four hundred thirty-three million, two hundred sixty-six thousand, four".

Divisors: 1 2 4 7 14 19 28 38 67 76 133 134 266 268 401 469 532 802 938 1273 1604 1876 2546 2807 5092 5614 7619 8911 11228 15238 17822 26867 30476 35644 53333 53734 106666 107468 188069 213332 376138 510473 752276 1020946 2041892 3053291 3573311 6106582 7146622 12213164 14293244 21373037 42746074 58012529 85492148 116025058 204570497 232050116 406087703 409140994 812175406 818281988 1224369691 1431993479 1624350812 2448739382 2863986958 3886839443 4897478764 5727973916 7773678886 8570587837 15547357772 17141175674 23263024129 27207876101 34282351348 46526048258 54415752202 82032769297 93052096516 108831504404 162841168903 164065538594 325682337806 328131077188 574229385079 651364675612 1148458770158 1558622616643 2296917540316 3117245233286 6234490466572 10910358316501 21820716633002 43641433266004