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41701395764 = 22753671972129
BaseRepresentation
bin100110110101100110…
…001100110100110100
310222122020112101201102
4212311212030310310
51140401024131024
631053553345232
73004254005210
oct466546146464
9128566471642
1041701395764
111675a394946
1280b9868218
133c176ca212
142038537940
1511410641ae
hex9b598cd34

41701395764 has 96 divisors (see below), whose sum is σ = 86723239680. Its totient is φ = 17177352192.

The previous prime is 41701395721. The next prime is 41701395839. The reversal of 41701395764 is 46759310714.

41701395764 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 an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19586252 + ... + 19588380.

It is an arithmetic number, because the mean of its divisors is an integer number (903367080).

Almost surely, 241701395764 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 41701395764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43361619840).

41701395764 is an abundant number, since it is smaller than the sum of its proper divisors (45021843916).

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

41701395764 is a wasteful number, since it uses less digits than its factorization.

41701395764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2457 (or 2455 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 47.

The spelling of 41701395764 in words is "forty-one billion, seven hundred one million, three hundred ninety-five thousand, seven hundred sixty-four".

Divisors: 1 2 4 7 14 28 53 67 106 134 197 212 268 371 394 469 742 788 938 1379 1484 1876 2129 2758 3551 4258 5516 7102 8516 10441 13199 14204 14903 20882 24857 26398 29806 41764 49714 52796 59612 73087 92393 99428 112837 142643 146174 184786 225674 285286 292348 369572 419413 451348 570572 699547 789859 838826 998501 1399094 1579718 1677652 1997002 2798188 2935891 3159436 3994004 4896829 5871782 7560079 9793658 11743564 15120158 19587316 22228889 28100671 30240316 44457778 52920553 56201342 88915556 105841106 112402684 155602223 196704697 211682212 311204446 393409394 622408892 786818788 1489335563 2978671126 5957342252 10425348941 20850697882 41701395764