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41793831384 = 23319257503709
BaseRepresentation
bin100110111011000110…
…110100000111011000
310222212200110121112220
4212323012310013120
51141043210101014
631111054504040
73006455463624
oct467306640730
9128780417486
1041793831384
11167a758a118
128124805020
133c308c2956
14204691a184
1511492226a9
hex9bb1b41d8

41793831384 has 128 divisors (see below), whose sum is σ = 110787264000. Its totient is φ = 13102055424.

The previous prime is 41793831383. The next prime is 41793831433. The reversal of 41793831384 is 48313839714.

It is a happy number.

41793831384 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41793831383) 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, 58947222 + ... + 58947930.

It is an arithmetic number, because the mean of its divisors is an integer number (865525500).

Almost surely, 241793831384 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 41793831384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55393632000).

41793831384 is an abundant number, since it is smaller than the sum of its proper divisors (68993432616).

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

41793831384 is a wasteful number, since it uses less digits than its factorization.

41793831384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1497 (or 1493 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 51.

The spelling of 41793831384 in words is "forty-one billion, seven hundred ninety-three million, eight hundred thirty-one thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 152 228 257 456 503 514 709 771 1006 1028 1418 1509 1542 2012 2056 2127 2836 3018 3084 4024 4254 4883 5672 6036 6168 8508 9557 9766 12072 13471 14649 17016 19114 19532 26942 28671 29298 38228 39064 40413 53884 57342 58596 76456 80826 107768 114684 117192 129271 161652 182213 229368 258542 323304 356627 364426 387813 517084 546639 713254 728852 775626 1034168 1069881 1093278 1426508 1457704 1551252 2139762 2186556 2456149 2853016 3102504 3462047 4279524 4373112 4912298 6775913 6924094 7368447 8559048 9824596 10386141 13551826 13848188 14736894 19649192 20327739 20772282 27103652 27696376 29473788 40655478 41544564 54207304 58947576 81310956 83089128 91653139 162621912 183306278 274959417 366612556 549918834 733225112 1099837668 1741409641 2199675336 3482819282 5224228923 6965638564 10448457846 13931277128 20896915692 41793831384