Search a number
-
+
41826875904 = 293411277331
BaseRepresentation
bin100110111101000100…
…110111101000000000
310222221222122110010000
4212331010313220000
51141130140012104
631114235040000
73010336402422
oct467504675000
9128858573100
1041826875904
11168141a9a40
1281338a0000
133c376c2618
14204b07c812
15114c09d639
hex9bd137a00

41826875904 has 400 divisors, whose sum is σ = 137096109216. Its totient is φ = 12590899200.

The previous prime is 41826875903. The next prime is 41826875947. The reversal of 41826875904 is 40957862814.

It is a happy number.

41826875904 is a `hidden beast` number, since 41 + 8 + 2 + 6 + 8 + 7 + 590 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (41826875903) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 126365019 + ... + 126365349.

Almost surely, 241826875904 is an apocalyptic number.

41826875904 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 41826875904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68548054608).

41826875904 is an abundant number, since it is smaller than the sum of its proper divisors (95269233312).

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

41826875904 is a wasteful number, since it uses less digits than its factorization.

41826875904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 649 (or 624 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 41826875904 in words is "forty-one billion, eight hundred twenty-six million, eight hundred seventy-five thousand, nine hundred four".