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41280790464 = 2632177159377
BaseRepresentation
bin100110011100100001…
…101101111111000000
310221112221002102201100
4212130201231333000
51134020340243324
630544130334400
72660655633534
oct463441557700
9127487072640
1041280790464
1116563a25961
128000a2a400
133b7b522b44
141dd872bbc4
1511191804c9
hex99c86dfc0

41280790464 has 168 divisors, whose sum is σ = 127050869088. Its totient is φ = 12768215040.

The previous prime is 41280790381. The next prime is 41280790483. The reversal of 41280790464 is 46409708214.

41280790464 is a `hidden beast` number, since 41 + 2 + 80 + 79 + 0 + 464 = 666.

41280790464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×412807904642 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 665544 + ... + 724920.

Almost surely, 241280790464 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 41280790464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63525434544).

41280790464 is an abundant number, since it is smaller than the sum of its proper divisors (85770078624).

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

41280790464 is a wasteful number, since it uses less digits than its factorization.

41280790464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59483 (or 59470 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

It can be divided in two parts, 41280 and 790464, that added together give a square (831744 = 9122).

The spelling of 41280790464 in words is "forty-one billion, two hundred eighty million, seven hundred ninety thousand, four hundred sixty-four".