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41663656032 = 25317109323357
BaseRepresentation
bin100110110011010110…
…001111000001100000
310222112121112000112120
4212303112033001200
51140311343443112
631050124424240
73003315142635
oct466326170140
9128477460476
1041663656032
1116740058489
1280a90a8080
133c0c94540b
14203351218c
15113caabe8c
hex9b358f060

41663656032 has 96 divisors (see below), whose sum is σ = 115911365472. Its totient is φ = 13058433024.

The previous prime is 41663656007. The next prime is 41663656033. The reversal of 41663656032 is 23065636614.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41663656033) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1772098 + ... + 1795454.

It is an arithmetic number, because the mean of its divisors is an integer number (1207410057).

Almost surely, 241663656032 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 41663656032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57955682736).

41663656032 is an abundant number, since it is smaller than the sum of its proper divisors (74247709440).

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

41663656032 is a wasteful number, since it uses less digits than its factorization.

41663656032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24480 (or 24472 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 42.

The spelling of 41663656032 in words is "forty-one billion, six hundred sixty-three million, six hundred fifty-six thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 204 272 408 544 816 1093 1632 2186 3279 4372 6558 8744 13116 17488 18581 23357 26232 34976 37162 46714 52464 55743 70071 74324 93428 104928 111486 140142 148648 186856 222972 280284 297296 373712 397069 445944 560568 594592 747424 794138 891888 1121136 1191207 1588276 1783776 2242272 2382414 3176552 4764828 6353104 9529656 12706208 19059312 25529201 38118624 51058402 76587603 102116804 153175206 204233608 306350412 408467216 433996417 612700824 816934432 867992834 1225401648 1301989251 1735985668 2450803296 2603978502 3471971336 5207957004 6943942672 10415914008 13887885344 20831828016 41663656032