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465146616356 = 221753129063989
BaseRepresentation
bin1101100010011001110…
…01100001101000100100
31122110121212102101010122
412301030321201220210
530110110013210411
6553404014141112
745414524001062
oct6611471415044
91573555371118
10465146616356
1116a2a4158504
12761947b1798
1334b2b40cb46
14187283a1032
15c175db49db
hex6c4ce61a24

465146616356 has 24 divisors (see below), whose sum is σ = 878151387960. Its totient is φ = 214762476032.

The previous prime is 465146616331. The next prime is 465146616443. The reversal of 465146616356 is 653616641564.

It can be written as a sum of positive squares in 4 ways, for example, as 116019259456 + 349127356900 = 340616^2 + 590870^2 .

It is a super-2 number, since 2×4651466163562 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (53).

It is a junction number, because it is equal to n+sod(n) for n = 465146616298 and 465146616307.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 64528391 + ... + 64535598.

It is an arithmetic number, because the mean of its divisors is an integer number (36589641165).

Almost surely, 2465146616356 is an apocalyptic number.

It is an amenable number.

465146616356 is a deficient number, since it is larger than the sum of its proper divisors (413004771604).

465146616356 is a wasteful number, since it uses less digits than its factorization.

465146616356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129064063 (or 129064061 counting only the distinct ones).

The product of its digits is 9331200, while the sum is 53.

The spelling of 465146616356 in words is "four hundred sixty-five billion, one hundred forty-six million, six hundred sixteen thousand, three hundred fifty-six".

Divisors: 1 2 4 17 34 53 68 106 212 901 1802 3604 129063989 258127978 516255956 2194087813 4388175626 6840391417 8776351252 13680782834 27361565668 116286654089 232573308178 465146616356