Search a number
-
+
41864697000 = 2332537739103
BaseRepresentation
bin100110111111010101…
…001001010010101000
311000001121210221220100
4212333111021102220
51141214330301000
631122105425400
73011306024130
oct467725112250
9130047727810
1041864697000
1116833591545
12814449b260
133c424a5479
1420520c5ac0
15115056ea00
hex9bf5494a8

41864697000 has 384 divisors, whose sum is σ = 163950658560. Its totient is φ = 9436953600.

The previous prime is 41864696983. The next prime is 41864697053. The reversal of 41864697000 is 79646814.

41864697000 is a `hidden beast` number, since 4 + 186 + 469 + 7 + 0 + 0 + 0 = 666.

41864697000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4594449 + ... + 4603551.

It is an arithmetic number, because the mean of its divisors is an integer number (426954840).

Almost surely, 241864697000 is an apocalyptic number.

41864697000 is a gapful number since it is divisible by the number (40) 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 41864697000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81975329280).

41864697000 is an abundant number, since it is smaller than the sum of its proper divisors (122085961560).

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

41864697000 is a wasteful number, since it uses less digits than its factorization.

41864697000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9210 (or 9193 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 41864697000 in words is "forty-one billion, eight hundred sixty-four million, six hundred ninety-seven thousand".