Search a number
-
+
464889988464 = 24311880473463
BaseRepresentation
bin1101100001111011001…
…10100100010101110000
31122102221222112022211220
412300331212210111300
530104043314112324
6553322325505040
745405256462566
oct6607546442560
91572858468756
10464889988464
1116a182308140
1276122872180
1334aba1b9715
141870227ba36
15c15d5c1b79
hex6c3d9a4570

464889988464 has 40 divisors (see below), whose sum is σ = 1310144514432. Its totient is φ = 140875753920.

The previous prime is 464889988447. The next prime is 464889988469.

464889988464 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×4648899884642 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 464889988464.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (464889988469) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 440236204 + ... + 440237259.

Almost surely, 2464889988464 is an apocalyptic number.

464889988464 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

464889988464 is an abundant number, since it is smaller than the sum of its proper divisors (845254525968).

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

464889988464 is a wasteful number, since it uses less digits than its factorization.

464889988464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 880473485 (or 880473479 counting only the distinct ones).

The product of its digits is 3057647616, while the sum is 78.

The spelling of 464889988464 in words is "four hundred sixty-four billion, eight hundred eighty-nine million, nine hundred eighty-eight thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 880473463 1760946926 2641420389 3521893852 5282840778 7043787704 9685208093 10565681556 14087575408 19370416186 21131363112 29055624279 38740832372 42262726224 58111248558 77481664744 116222497116 154963329488 232444994232 464889988464