Search a number
-
+
478008220664 = 231343436324499
BaseRepresentation
bin1101111010010111000…
…00101001101111111000
31200200211012210120101202
412331023200221233320
530312430101030124
61003332143033332
746351326556532
oct6751340515770
91620735716352
10478008220664
111747a41a7157
1278783b9b848
13360cac167b0
14191c85c2852
15c67a0ca5ae
hex6f4b829bf8

478008220664 has 64 divisors (see below), whose sum is σ = 987922320000. Its totient is φ = 215430316416.

The previous prime is 478008220661. The next prime is 478008220667. The reversal of 478008220664 is 466022800874.

It is an interprime number because it is at equal distance from previous prime (478008220661) and next prime (478008220667).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (478008220661) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19499087 + ... + 19523585.

It is an arithmetic number, because the mean of its divisors is an integer number (15436286250).

Almost surely, 2478008220664 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 478008220664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (493961160000).

478008220664 is an abundant number, since it is smaller than the sum of its proper divisors (509914099336).

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

478008220664 is a wasteful number, since it uses less digits than its factorization.

478008220664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28924 (or 28920 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 47.

The spelling of 478008220664 in words is "four hundred seventy-eight billion, eight million, two hundred twenty thousand, six hundred sixty-four".

Divisors: 1 2 4 8 13 26 43 52 86 104 172 344 559 1118 2236 4363 4472 8726 17452 24499 34904 48998 56719 97996 113438 187609 195992 226876 318487 375218 453752 636974 750436 1053457 1273948 1500872 2106914 2438917 2547896 4213828 4877834 8427656 9755668 13694941 19511336 27389882 54779764 106889137 109559528 213778274 427556548 855113096 1389558781 2779117562 4596232891 5558235124 9192465782 11116470248 18384931564 36769863128 59751027583 119502055166 239004110332 478008220664