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46549316352 = 2837211139809
BaseRepresentation
bin101011010110100011…
…100011001100000000
311110011002202021112210
4223112203203030000
51230313111110402
633215013222120
73235351442400
oct532643431400
9143132667483
1046549316352
111881796a390
129031331940
13450abac596
14237832c800
15132697a06c
hexad68e3300

46549316352 has 432 divisors, whose sum is σ = 158544086400. Its totient is φ = 11988910080.

The previous prime is 46549316327. The next prime is 46549316357. The reversal of 46549316352 is 25361394564.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (46549316357) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 57538924 + ... + 57539732.

It is an arithmetic number, because the mean of its divisors is an integer number (367000200).

Almost surely, 246549316352 is an apocalyptic number.

46549316352 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46549316352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79272043200).

46549316352 is an abundant number, since it is smaller than the sum of its proper divisors (111994770048).

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

46549316352 is a wasteful number, since it uses less digits than its factorization.

46549316352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 992 (or 971 counting only the distinct ones).

The product of its digits is 2332800, while the sum is 48.

The spelling of 46549316352 in words is "forty-six billion, five hundred forty-nine million, three hundred sixteen thousand, three hundred fifty-two".