Search a number
-
+
41264899104 = 25311213231092
BaseRepresentation
bin100110011011100101…
…000110010000100000
310221111211012001212110
4212123211012100200
51134002303232404
630542401555320
72660403566202
oct463345062040
9127454161773
1041264899104
1116555a61500
127bb7645b40
133b7814a880
141dd6592772
151117a91b89
hex99b946420

41264899104 has 432 divisors, whose sum is σ = 135035159616. Its totient is φ = 10939484160.

The previous prime is 41264899103. The next prime is 41264899111. The reversal of 41264899104 is 40199846214.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41264899103) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 378577002 + ... + 378577110.

It is an arithmetic number, because the mean of its divisors is an integer number (312581388).

Almost surely, 241264899104 is an apocalyptic number.

41264899104 is a gapful number since it is divisible by the number (44) 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 41264899104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67517579808).

41264899104 is an abundant number, since it is smaller than the sum of its proper divisors (93770260512).

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

41264899104 is a wasteful number, since it uses less digits than its factorization.

41264899104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 48.

The spelling of 41264899104 in words is "forty-one billion, two hundred sixty-four million, eight hundred ninety-nine thousand, one hundred four".