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464133212040 = 23353867776767
BaseRepresentation
bin1101100000100000111…
…11101100011110001000
31122101000020112002202110
412300100133230132020
530101021100241130
6553115253302320
745350440131411
oct6602037543610
91571006462673
10464133212040
11169924109883
1275b513349a0
13349c948b714
141866d964808
15c116e36ab0
hex6c107ec788

464133212040 has 32 divisors (see below), whose sum is σ = 1392399636480. Its totient is φ = 123768856512.

The previous prime is 464133212027. The next prime is 464133212063. The reversal of 464133212040 is 40212331464.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 464133211989 and 464133212007.

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, 1933888264 + ... + 1933888503.

It is an arithmetic number, because the mean of its divisors is an integer number (43512488640).

Almost surely, 2464133212040 is an apocalyptic number.

464133212040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

464133212040 is an abundant number, since it is smaller than the sum of its proper divisors (928266424440).

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

464133212040 is a wasteful number, since it uses less digits than its factorization.

464133212040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3867776781 (or 3867776777 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The spelling of 464133212040 in words is "four hundred sixty-four billion, one hundred thirty-three million, two hundred twelve thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 3867776767 7735553534 11603330301 15471107068 19338883835 23206660602 30942214136 38677767670 46413321204 58016651505 77355535340 92826642408 116033303010 154711070680 232066606020 464133212040