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46484844460032 = 21131117313129263
BaseRepresentation
bin10101001000111000110001…
…01001000011100000000000
320002120220111201212002001010
422210130120221003200000
522043101430140210112
6242510502010440520
712535263531342546
oct1244343051034000
9202526451762033
1046484844460032
11138a2125927480
1252690a8433140
131cc266ac3a8a4
14b69c42779d96
1555929deec63c
hex2a4718a43800

46484844460032 has 384 divisors, whose sum is σ = 143606761159680. Its totient is φ = 13215250513920.

The previous prime is 46484844460031. The next prime is 46484844460037. The reversal of 46484844460032 is 23006444848464.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46484844460031) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 359549833 + ... + 359679095.

It is an arithmetic number, because the mean of its divisors is an integer number (373975940520).

Almost surely, 246484844460032 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 46484844460032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71803380579840).

46484844460032 is an abundant number, since it is smaller than the sum of its proper divisors (97121916699648).

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

46484844460032 is a wasteful number, since it uses less digits than its factorization.

46484844460032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129629 (or 129609 counting only the distinct ones).

The product of its (nonzero) digits is 56623104, while the sum is 57.

The spelling of 46484844460032 in words is "forty-six trillion, four hundred eighty-four billion, eight hundred forty-four million, four hundred sixty thousand, thirty-two".