Search a number
-
+
41270652480 = 26351737411667
BaseRepresentation
bin100110011011111011…
…000010111001000000
310221112020000101000110
4212123323002321000
51134010241334410
630543125151320
72660503520661
oct463373027100
9127466011013
1041270652480
1116559231062
127bb955b540
133b793b3535
141dd724d368
15111832b720
hex99bec2e40

41270652480 has 448 divisors, whose sum is σ = 146054990592. Its totient is φ = 9826467840.

The previous prime is 41270652473. The next prime is 41270652499. The reversal of 41270652480 is 8425607214.

It is a super-2 number, since 2×412706524802 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24756607 + ... + 24758273.

It is an arithmetic number, because the mean of its divisors is an integer number (326015604).

Almost surely, 241270652480 is an apocalyptic number.

41270652480 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 41270652480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73027495296).

41270652480 is an abundant number, since it is smaller than the sum of its proper divisors (104784338112).

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

41270652480 is a wasteful number, since it uses less digits than its factorization.

41270652480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1782 (or 1772 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 39.

The spelling of 41270652480 in words is "forty-one billion, two hundred seventy million, six hundred fifty-two thousand, four hundred eighty".