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463831800740 = 2257112011149771
BaseRepresentation
bin1101011111111101000…
…01111001101110100100
31122100020020100211011222
412233332201321232210
530044411420110430
6553025325115512
745340120153310
oct6577641715644
91570206324158
10463831800740
11169789a61030
1275a883b8b98
133497bbb8439
1418641904b40
15c0ea7499e5
hex6bfe879ba4

463831800740 has 96 divisors (see below), whose sum is σ = 1215007976448. Its totient is φ = 144498096000.

The previous prime is 463831800701. The next prime is 463831800749. The reversal of 463831800740 is 47008138364.

It is a super-2 number, since 2×4638318007402 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 463831800691 and 463831800700.

It is not an unprimeable number, because it can be changed into a prime (463831800749) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3022055 + ... + 3171825.

It is an arithmetic number, because the mean of its divisors is an integer number (12656333088).

Almost surely, 2463831800740 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 463831800740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (607503988224).

463831800740 is an abundant number, since it is smaller than the sum of its proper divisors (751176175708).

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

463831800740 is a wasteful number, since it uses less digits than its factorization.

463831800740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151809 (or 151807 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 44.

The spelling of 463831800740 in words is "four hundred sixty-three billion, eight hundred thirty-one million, eight hundred thousand, seven hundred forty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 140 154 220 308 385 770 1540 2011 4022 8044 10055 14077 20110 22121 28154 40220 44242 56308 70385 88484 110605 140770 149771 154847 221210 281540 299542 309694 442420 599084 619388 748855 774235 1048397 1497710 1548470 1647481 2096794 2995420 3096940 3294962 4193588 5241985 6589924 8237405 10483970 11532367 16474810 20967940 23064734 32949620 46129468 57661835 115323670 230647340 301189481 602378962 1204757924 1505947405 2108326367 3011894810 3313084291 4216652734 6023789620 6626168582 8433305468 10541631835 13252337164 16565421455 21083263670 23191590037 33130842910 42166527340 46383180074 66261685820 92766360148 115957950185 231915900370 463831800740