Search a number
-
+
63414316480 = 2659710918743
BaseRepresentation
bin111011000011110010…
…011010110111000000
320001200110020001110011
4323003302122313000
52014333031111410
645044312514304
74403315540104
oct730362326700
9201613201404
1063414316480
1124991801619
12103593ab994
135c97c264b8
1430d8109904
1519b238718a
hexec3c9adc0

63414316480 has 112 divisors (see below), whose sum is σ = 153969963840. Its totient is φ = 24872583168.

The previous prime is 63414316463. The next prime is 63414316481. The reversal of 63414316480 is 8461341436.

63414316480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63414316481) 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, 3373989 + ... + 3392731.

It is an arithmetic number, because the mean of its divisors is an integer number (1374731820).

Almost surely, 263414316480 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 63414316480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76984981920).

63414316480 is an abundant number, since it is smaller than the sum of its proper divisors (90555647360).

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

63414316480 is a wasteful number, since it uses less digits than its factorization.

63414316480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18966 (or 18956 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 40.

The spelling of 63414316480 in words is "sixty-three billion, four hundred fourteen million, three hundred sixteen thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 97 109 160 194 218 320 388 436 485 545 776 872 970 1090 1552 1744 1940 2180 3104 3488 3880 4360 6208 6976 7760 8720 10573 15520 17440 18743 21146 31040 34880 37486 42292 52865 74972 84584 93715 105730 149944 169168 187430 211460 299888 338336 374860 422920 599776 676672 749720 845840 1199552 1499440 1691680 1818071 2042987 2998880 3383360 3636142 4085974 5997760 7272284 8171948 9090355 10214935 14544568 16343896 18180710 20429870 29089136 32687792 36361420 40859740 58178272 65375584 72722840 81719480 116356544 130751168 145445680 163438960 198169739 290891360 326877920 396339478 581782720 653755840 792678956 990848695 1585357912 1981697390 3170715824 3963394780 6341431648 7926789560 12682863296 15853579120 31707158240 63414316480