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463311463340 = 2251119283391661
BaseRepresentation
bin1101011110111111000…
…00111110001110101100
31122021212222020221110102
412233133200332032230
530042330213311330
6552501540330232
745321201313535
oct6573740761654
91567788227412
10463311463340
11169542273920
12759620a3978
13348c816249b
14185d277768c
15c0b9c15945
hex6bdf83e3ac

463311463340 has 96 divisors (see below), whose sum is σ = 1121218640640. Its totient is φ = 159045292800.

The previous prime is 463311463337. The next prime is 463311463369. The reversal of 463311463340 is 43364113364.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a junction number, because it is equal to n+sod(n) for n = 463311463294 and 463311463303.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 987110 + ... + 1378770.

It is an arithmetic number, because the mean of its divisors is an integer number (11679360840).

Almost surely, 2463311463340 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 463311463340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (560609320320).

463311463340 is an abundant number, since it is smaller than the sum of its proper divisors (657907177300).

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

463311463340 is a wasteful number, since it uses less digits than its factorization.

463311463340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 391983 (or 391981 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 38.

The spelling of 463311463340 in words is "four hundred sixty-three billion, three hundred eleven million, four hundred sixty-three thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 19 20 22 38 44 55 76 95 110 190 209 220 283 380 418 566 836 1045 1132 1415 2090 2830 3113 4180 5377 5660 6226 10754 12452 15565 21508 26885 31130 53770 59147 62260 107540 118294 236588 295735 391661 591470 783322 1182940 1566644 1958305 3916610 4308271 7441559 7833220 8616542 14883118 17233084 21541355 29766236 37207795 43082710 74415590 81857149 86165420 110840063 148831180 163714298 221680126 327428596 409285745 443360252 554200315 818571490 1108400630 1219240693 1637142980 2105961197 2216801260 2438481386 4211922394 4876962772 6096203465 8423844788 10529805985 12192406930 21059611970 23165573167 24384813860 42119223940 46331146334 92662292668 115827865835 231655731670 463311463340