Search a number
-
+
41335792096 = 252361920701
BaseRepresentation
bin100110011111110011…
…100010000111100000
310221200202120210202211
4212133303202013200
51134123430321341
630553413251504
72662224302254
oct463763420740
9127622523684
1041335792096
1116591a82455
128017333b94
133b89a3c9a1
142001b68264
15111dde7181
hex99fce21e0

41335792096 has 48 divisors (see below), whose sum is σ = 86310288288. Its totient is φ = 19445184000.

The previous prime is 41335792087. The next prime is 41335792097. The reversal of 41335792096 is 69029753314.

41335792096 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 (41335792097) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 415455 + ... + 505246.

It is an arithmetic number, because the mean of its divisors is an integer number (1798131006).

Almost surely, 241335792096 is an apocalyptic number.

41335792096 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

41335792096 is an abundant number, since it is smaller than the sum of its proper divisors (44974496192).

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

41335792096 is a wasteful number, since it uses less digits than its factorization.

41335792096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 920795 (or 920787 counting only the distinct ones).

The product of its (nonzero) digits is 1224720, while the sum is 49.

The spelling of 41335792096 in words is "forty-one billion, three hundred thirty-five million, seven hundred ninety-two thousand, ninety-six".

Divisors: 1 2 4 8 16 23 32 46 61 92 122 184 244 368 488 736 976 1403 1952 2806 5612 11224 22448 44896 920701 1841402 3682804 7365608 14731216 21176123 29462432 42352246 56162761 84704492 112325522 169408984 224651044 338817968 449302088 677635936 898604176 1291743503 1797208352 2583487006 5166974012 10333948024 20667896048 41335792096