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47022104448 = 2734111779307
BaseRepresentation
bin101011110010101111…
…000101111110000000
311111101001101101220000
4223302233011332000
51232300124320243
633333542520000
73253152202344
oct536257057600
9144331341800
1047022104448
1118a3a830050
129143736000
134584b27757
1423c103d624
15135321a5d3
hexaf2bc5f80

47022104448 has 640 divisors, whose sum is σ = 164217715200. Its totient is φ = 13198049280.

The previous prime is 47022104447. The next prime is 47022104453. The reversal of 47022104448 is 84440122074.

It is a super-2 number, since 2×470221044482 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47022104447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 153166311 + ... + 153166617.

It is an arithmetic number, because the mean of its divisors is an integer number (256590180).

Almost surely, 247022104448 is an apocalyptic number.

47022104448 is a gapful number since it is divisible by the number (48) 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 47022104448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82108857600).

47022104448 is an abundant number, since it is smaller than the sum of its proper divisors (117195610752).

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

47022104448 is a wasteful number, since it uses less digits than its factorization.

47022104448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 36.

The spelling of 47022104448 in words is "forty-seven billion, twenty-two million, one hundred four thousand, four hundred forty-eight".