Search a number
-
+
463613266144 = 2572389987047
BaseRepresentation
bin1101011111100011000…
…00010000100011100000
31122022200000011010002001
412233301200100203200
530043434444004034
6552551521133344
745331524512230
oct6576140204340
91568600133061
10463613266144
11169687669826
1275a2718a254
1334945841a22
1418620899cc0
15c0d647da14
hex6bf18108e0

463613266144 has 48 divisors (see below), whose sum is σ = 1088483332608. Its totient is φ = 190052641152.

The previous prime is 463613266133. The next prime is 463613266157. The reversal of 463613266144 is 441662316364.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a junction number, because it is equal to n+sod(n) for n = 463613266094 and 463613266103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 44988372 + ... + 44998675.

It is an arithmetic number, because the mean of its divisors is an integer number (22676736096).

Almost surely, 2463613266144 is an apocalyptic number.

It is an amenable number.

463613266144 is an abundant number, since it is smaller than the sum of its proper divisors (624870066464).

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

463613266144 is a wasteful number, since it uses less digits than its factorization.

463613266144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89987087 (or 89987079 counting only the distinct ones).

The product of its digits is 1492992, while the sum is 46.

The spelling of 463613266144 in words is "four hundred sixty-three billion, six hundred thirteen million, two hundred sixty-six thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 56 92 112 161 184 224 322 368 644 736 1288 2576 5152 89987047 179974094 359948188 629909329 719896376 1259818658 1439792752 2069702081 2519637316 2879585504 4139404162 5039274632 8278808324 10078549264 14487914567 16557616648 20157098528 28975829134 33115233296 57951658268 66230466592 115903316536 231806633072 463613266144