Search a number
-
+
41500798464 = 293294347461
BaseRepresentation
bin100110101001101000…
…111110111000000000
310222010021001222221210
4212221220332320000
51134443201022324
631022030050120
72666266652346
oct465150767000
9128107058853
1041500798464
1116667134154
128062649940
133bb4c940a8
142019a3b996
15112d63cd29
hex9a9a3ee00

41500798464 has 320 divisors, whose sum is σ = 119782333440. Its totient is φ = 12740689920.

The previous prime is 41500798459. The next prime is 41500798483. The reversal of 41500798464 is 46489700514.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 90023194 + ... + 90023654.

It is an arithmetic number, because the mean of its divisors is an integer number (374319792).

Almost surely, 241500798464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41500798464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59891166720).

41500798464 is an abundant number, since it is smaller than the sum of its proper divisors (78281534976).

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

41500798464 is a wasteful number, since it uses less digits than its factorization.

41500798464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 601 (or 585 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 48.

The spelling of 41500798464 in words is "forty-one billion, five hundred million, seven hundred ninety-eight thousand, four hundred sixty-four".