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41730664464 = 24322636611667
BaseRepresentation
bin100110110111010101…
…110110100000010000
310222201021121101211100
4212313111312200100
51140431022230324
631100520544400
73005060536536
oct466725664020
9128637541740
1041730664464
1116774965955
128107622100
133c207a7388
14203c396156
1511438e64c9
hex9b7576810

41730664464 has 120 divisors (see below), whose sum is σ = 117479748672. Its totient is φ = 13828066560.

The previous prime is 41730664463. The next prime is 41730664487. The reversal of 41730664464 is 46446603714.

It is not an unprimeable number, because it can be changed into a prime (41730664463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25032559 + ... + 25034225.

Almost surely, 241730664464 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 41730664464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58739874336).

41730664464 is an abundant number, since it is smaller than the sum of its proper divisors (75749084208).

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

41730664464 is a wasteful number, since it uses less digits than its factorization.

41730664464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2605 (or 2596 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 45.

The spelling of 41730664464 in words is "forty-one billion, seven hundred thirty million, six hundred sixty-four thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 263 526 661 789 1052 1322 1578 1667 1983 2104 2367 2644 3156 3334 3966 4208 4734 5001 5288 5949 6312 6668 7932 9468 10002 10576 11898 12624 13336 15003 15864 18936 20004 23796 26672 30006 31728 37872 40008 47592 60012 80016 95184 120024 173843 240048 347686 438421 521529 695372 876842 1043058 1101887 1315263 1390744 1564587 1753684 2086116 2203774 2630526 2781488 3129174 3305661 3507368 3945789 4172232 4407548 5261052 6258348 6611322 7014736 7891578 8344464 8815096 9916983 10522104 12516696 13222644 15783156 17630192 19833966 21044208 25033392 26445288 31566312 39667932 52890576 63132624 79335864 158671728 289796281 579592562 869388843 1159185124 1738777686 2318370248 2608166529 3477555372 4636740496 5216333058 6955110744 10432666116 13910221488 20865332232 41730664464