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5045946881472 = 26357233331601
BaseRepresentation
bin100100101101101100111…
…0111110001010111000000
3122212101110201021112200000
41021123121313301113000
51130133044400201342
614422024225400000
71030362160544610
oct111333167612700
918771421245600
105045946881472
111675a79515682
12695b31499000
132a7aa52048b3
14136321a96a40
158b3cb34c44c
hex496d9df15c0

5045946881472 has 672 divisors, whose sum is σ = 17295993921024. Its totient is φ = 1428793344000.

The previous prime is 5045946881377. The next prime is 5045946881473. The reversal of 5045946881472 is 2741886495405.

It is a happy number.

5045946881472 is a `hidden beast` number, since 5 + 0 + 4 + 59 + 468 + 81 + 47 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-3 number, since 3×50459468814723 (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5045946881473) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8395917972 + ... + 8395918572.

It is an arithmetic number, because the mean of its divisors is an integer number (25738086192).

Almost surely, 25045946881472 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 5045946881472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8647996960512).

5045946881472 is an abundant number, since it is smaller than the sum of its proper divisors (12250047039552).

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

5045946881472 is a wasteful number, since it uses less digits than its factorization.

5045946881472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1199 (or 1177 counting only the distinct ones).

The product of its (nonzero) digits is 77414400, while the sum is 63.

The spelling of 5045946881472 in words is "five trillion, forty-five billion, nine hundred forty-six million, eight hundred eighty-one thousand, four hundred seventy-two".