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460633151142 = 23225590730619
BaseRepresentation
bin1101011001111111110…
…00000001011010100110
31122000222022112120211100
412230333320001122212
530021334041314032
6551340103020530
745164630116263
oct6547770013246
91560868476740
10460633151142
1116839845026a
127533513a746
133458c300478
141841ab8c26a
15beaea1697c
hex6b3fe016a6

460633151142 has 12 divisors (see below), whose sum is σ = 998038494180. Its totient is φ = 153544383708.

The previous prime is 460633151137. The next prime is 460633151149. The reversal of 460633151142 is 241151336064.

460633151142 is a `hidden beast` number, since 4 + 6 + 0 + 633 + 1 + 5 + 1 + 14 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 460633151097 and 460633151106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (460633151149) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 12795365292 + ... + 12795365327.

It is an arithmetic number, because the mean of its divisors is an integer number (83169874515).

Almost surely, 2460633151142 is an apocalyptic number.

460633151142 is an abundant number, since it is smaller than the sum of its proper divisors (537405343038).

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

460633151142 is a wasteful number, since it uses less digits than its factorization.

460633151142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25590730627 (or 25590730624 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 460633151142 in words is "four hundred sixty billion, six hundred thirty-three million, one hundred fifty-one thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 18 25590730619 51181461238 76772191857 153544383714 230316575571 460633151142