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464645674354140 = 22325172331804936107
BaseRepresentation
bin110100110100101111100000…
…0010111011100010111011100
32020221011200200221112222120100
41221221133000113130113130
5441400223320113313030
64324115135341421100
7166604353651346436
oct15151370027342734
92227150627488510
10464645674354140
1112506113a981184
124414354026a790
1316c35b8c393506
1482a4d835b3656
1538ab778751360
hex1a697c05dc5dc

464645674354140 has 288 divisors, whose sum is σ = 1498861986148800. Its totient is φ = 116106802495488.

The previous prime is 464645674354117. The next prime is 464645674354153. The reversal of 464645674354140 is 41453476546464.

It is a happy number.

464645674354140 is a `hidden beast` number, since 4 + 6 + 4 + 6 + 4 + 5 + 6 + 7 + 43 + 541 + 40 = 666.

It is a super-2 number, since 2×4646456743541402 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12868557967 + ... + 12868594073.

It is an arithmetic number, because the mean of its divisors is an integer number (5204381896350).

Almost surely, 2464645674354140 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 464645674354140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (749430993074400).

464645674354140 is an abundant number, since it is smaller than the sum of its proper divisors (1034216311794660).

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

464645674354140 is a wasteful number, since it uses less digits than its factorization.

464645674354140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54421 (or 54416 counting only the distinct ones).

The product of its (nonzero) digits is 464486400, while the sum is 63.

The spelling of 464645674354140 in words is "four hundred sixty-four trillion, six hundred forty-five billion, six hundred seventy-four million, three hundred fifty-four thousand, one hundred forty".