Search a number
-
+
41470785648 = 243459659823
BaseRepresentation
bin100110100111110110…
…011111100001110000
310222001011121012010000
4212213312133201300
51134413010120043
631015034510000
72665453601415
oct464766374160
9128034535100
1041470785648
11166511a5076
128054595300
133bab9b6326
142015a6810c
15112abb02d3
hex9a7d9f870

41470785648 has 200 divisors, whose sum is σ = 122396630400. Its totient is φ = 13552189056.

The previous prime is 41470785623. The next prime is 41470785659. The reversal of 41470785648 is 84658707414.

41470785648 is a `hidden beast` number, since 4 + 1 + 4 + 7 + 0 + 78 + 564 + 8 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 41470785594 and 41470785603.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 50389365 + ... + 50390187.

It is an arithmetic number, because the mean of its divisors is an integer number (611983152).

Almost surely, 241470785648 is an apocalyptic number.

41470785648 is a gapful number since it is divisible by the number (48) 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 41470785648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61198315200).

41470785648 is an abundant number, since it is smaller than the sum of its proper divisors (80925844752).

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

41470785648 is a wasteful number, since it uses less digits than its factorization.

41470785648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1561 (or 1546 counting only the distinct ones).

The product of its (nonzero) digits is 6021120, while the sum is 54.

The spelling of 41470785648 in words is "forty-one billion, four hundred seventy million, seven hundred eighty-five thousand, six hundred forty-eight".