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464230032464 = 24114675648117
BaseRepresentation
bin1101100000101100100…
…01000010010001010000
31122101020222201002102002
412300112101002101100
530101220342014324
6553133032413132
745353024111612
oct6602621022120
91571228632362
10464230032464
11169973829460
1275b798471a8
1334a1355ac03
141867c768db2
15c1206ae3ae
hex6c16442450

464230032464 has 40 divisors (see below), whose sum is σ = 983314751328. Its totient is φ = 210561764480.

The previous prime is 464230032463. The next prime is 464230032491.

464230032464 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×4642300324642 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (464230032463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2741867 + ... + 2906250.

Almost surely, 2464230032464 is an apocalyptic number.

464230032464 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

464230032464 is an abundant number, since it is smaller than the sum of its proper divisors (519084718864).

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

464230032464 is a wasteful number, since it uses less digits than its factorization.

464230032464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5648603 (or 5648597 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 38.

It can be divided in two parts, 4642300 and 32464, that added together give a palindrome (4674764).

The spelling of 464230032464 in words is "four hundred sixty-four billion, two hundred thirty million, thirty-two thousand, four hundred sixty-four".

Divisors: 1 2 4 8 11 16 22 44 88 176 467 934 1868 3736 5137 7472 10274 20548 41096 82192 5648117 11296234 22592468 45184936 62129287 90369872 124258574 248517148 497034296 994068592 2637670639 5275341278 10550682556 21101365112 29014377029 42202730224 58028754058 116057508116 232115016232 464230032464