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41693304432 = 24313191353991
BaseRepresentation
bin100110110101000111…
…010101011001110000
310222121200022022111110
4212311013111121300
51140341441220212
631053104113320
73004125145263
oct466507253160
9128550268443
1041693304432
111675586879a
1280b7005840
133c15b26350
14203742ccda
1511404b6a3c
hex9b51d5670

41693304432 has 160 divisors (see below), whose sum is σ = 117048508416. Its totient is φ = 12712550400.

The previous prime is 41693304431. The next prime is 41693304451. The reversal of 41693304432 is 23440339614.

41693304432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41693304431) 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, 42071457 + ... + 42072447.

Almost surely, 241693304432 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 41693304432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58524254208).

41693304432 is an abundant number, since it is smaller than the sum of its proper divisors (75355203984).

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

41693304432 is a wasteful number, since it uses less digits than its factorization.

41693304432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1559 (or 1553 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 39.

The spelling of 41693304432 in words is "forty-one billion, six hundred ninety-three million, three hundred four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 191 208 312 353 382 573 624 706 764 991 1059 1146 1412 1528 1982 2118 2292 2483 2824 2973 3056 3964 4236 4584 4589 4966 5648 5946 7449 7928 8472 9168 9178 9932 11892 12883 13767 14898 15856 16944 18356 19864 23784 25766 27534 29796 36712 38649 39728 47568 51532 55068 59592 67423 73424 77298 103064 110136 119184 134846 154596 189281 202269 206128 220272 269692 309192 349823 378562 404538 539384 567843 618384 699646 757124 809076 876499 1049469 1078768 1135686 1399292 1514248 1618152 1752998 2098938 2271372 2460653 2629497 2798584 3028496 3236304 3505996 4197876 4542744 4547699 4921306 5258994 5597168 7011992 7381959 8395752 9085488 9095398 9842612 10517988 13643097 14023984 14763918 16791504 18190796 19685224 21035976 27286194 29527836 36381592 39370448 42071952 54572388 59055672 66816193 72763184 109144776 118111344 133632386 200448579 218289552 267264772 400897158 534529544 801794316 868610509 1069059088 1603588632 1737221018 2605831527 3207177264 3474442036 5211663054 6948884072 10423326108 13897768144 20846652216 41693304432