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41305861632 = 29372796947
BaseRepresentation
bin100110011110000001…
…010110111000000000
310221121200021011220010
4212132001112320000
51134043300033012
630550423544520
72661412013400
oct463601267000
9127550234803
1041305861632
111657709a232
1280092bb140
133b83790559
141ddbbb6800
15111b483c3c
hex99e056e00

41305861632 has 240 divisors, whose sum is σ = 129646344960. Its totient is φ = 11650609152.

The previous prime is 41305861603. The next prime is 41305861637. The reversal of 41305861632 is 23616850314.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41305861637) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5942383 + ... + 5949329.

It is an arithmetic number, because the mean of its divisors is an integer number (540193104).

Almost surely, 241305861632 is an apocalyptic number.

41305861632 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41305861632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64823172480).

41305861632 is an abundant number, since it is smaller than the sum of its proper divisors (88340483328).

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

41305861632 is an equidigital number, since it uses as much as digits as its factorization.

41305861632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7061 (or 7038 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The spelling of 41305861632 in words is "forty-one billion, three hundred five million, eight hundred sixty-one thousand, six hundred thirty-two".