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41807772444 = 2231719329879
BaseRepresentation
bin100110111011111011…
…111111101100011100
310222220122200220002110
4212323323333230130
51141110242204234
631112313354020
73010015126254
oct467373775434
9128818626073
1041807772444
1116804441259
128129408910
133c337642b9
142048708964
15114a5781e9
hex9bbeffb1c

41807772444 has 96 divisors (see below), whose sum is σ = 109030924800. Its totient is φ = 12425423616.

The previous prime is 41807772439. The next prime is 41807772449. The reversal of 41807772444 is 44427770814.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (41807772439) and next prime (41807772449).

It is a junction number, because it is equal to n+sod(n) for n = 41807772393 and 41807772402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41807772449) 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, 1384297 + ... + 1414175.

It is an arithmetic number, because the mean of its divisors is an integer number (1135738800).

Almost surely, 241807772444 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 41807772444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54515462400).

41807772444 is an abundant number, since it is smaller than the sum of its proper divisors (67223152356).

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

41807772444 is a wasteful number, since it uses less digits than its factorization.

41807772444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29960 (or 29920 counting only the distinct ones).

The product of its (nonzero) digits is 1404928, while the sum is 48.

The spelling of 41807772444 in words is "forty-one billion, eight hundred seven million, seven hundred seventy-two thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 12 17 19 34 38 51 57 68 76 102 114 204 228 323 361 646 722 969 1083 1292 1444 1938 2166 3876 4332 6137 6859 12274 13718 18411 20577 24548 27436 29879 36822 41154 59758 73644 82308 89637 116603 119516 179274 233206 349809 358548 466412 507943 567701 699618 1015886 1135402 1399236 1523829 1703103 2031772 2270804 3047658 3406206 6095316 6812412 9650917 10786319 19301834 21572638 28952751 32358957 38603668 43145276 57905502 64717914 115811004 129435828 183367423 204940061 366734846 409880122 550102269 614820183 733469692 819760244 1100204538 1229640366 2200409076 2459280732 3483981037 6967962074 10451943111 13935924148 20903886222 41807772444