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465645420032 = 291373958339
BaseRepresentation
bin1101100011010101010…
…00010011111000000000
31122111220122000020010212
412301222220103320000
530112120211420112
6553525313213252
745433061523152
oct6615250237000
91574818006125
10465645420032
1116a52a778051
12762b3861228
1334baa866550
1418774724ad2
15c1a4a93522
hex6c6aa13e00

465645420032 has 80 divisors (see below), whose sum is σ = 1015675565520. Its totient is φ = 211969032192.

The previous prime is 465645420011. The next prime is 465645420041. The reversal of 465645420032 is 230024546564.

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, 6719 + ... + 965057.

It is an arithmetic number, because the mean of its divisors is an integer number (12695944569).

Almost surely, 2465645420032 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 465645420032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (507837782760).

465645420032 is an abundant number, since it is smaller than the sum of its proper divisors (550030145488).

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

465645420032 is an equidigital number, since it uses as much as digits as its factorization.

465645420032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 958443 (or 958427 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 41.

Adding to 465645420032 its reverse (230024546564), we get a palindrome (695669966596).

The spelling of 465645420032 in words is "four hundred sixty-five billion, six hundred forty-five million, four hundred twenty thousand, thirty-two".

Divisors: 1 2 4 8 13 16 26 32 52 64 73 104 128 146 208 256 292 416 512 584 832 949 1168 1664 1898 2336 3328 3796 4672 6656 7592 9344 15184 18688 30368 37376 60736 121472 242944 485888 958339 1916678 3833356 7666712 12458407 15333424 24916814 30666848 49833628 61333696 69958747 99667256 122667392 139917494 199334512 245334784 279834988 398669024 490669568 559669976 797338048 909463711 1119339952 1594676096 1818927422 2238679904 3189352192 3637854844 4477359808 6378704384 7275709688 8954719616 14551419376 17909439232 29102838752 35818878464 58205677504 116411355008 232822710016 465645420032