Search a number
-
+
44687695360 = 2957113171103
BaseRepresentation
bin101001100111100110…
…000001111000000000
311021100100210010122011
4221213212001320000
51213010022222420
632310152222304
73141255100060
oct514746017000
9137310703564
1044687695360
1117a52047a40
1287b199a994
1342a22c57b9
14223cdb53a0
1512682ed95a
hexa67981e00

44687695360 has 640 divisors, whose sum is σ = 141193248768. Its totient is φ = 13160448000.

The previous prime is 44687695301. The next prime is 44687695369. The reversal of 44687695360 is 6359678644.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (640).

It is a junction number, because it is equal to n+sod(n) for n = 44687695295 and 44687695304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44687695369) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 433861069 + ... + 433861171.

Almost surely, 244687695360 is an apocalyptic number.

44687695360 is a gapful number since it is divisible by the number (40) 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 44687695360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70596624384).

44687695360 is an abundant number, since it is smaller than the sum of its proper divisors (96505553408).

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

44687695360 is a wasteful number, since it uses less digits than its factorization.

44687695360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 58.

It can be divided in two parts, 44687 and 695360, that added together give a palindrome (740047).

The spelling of 44687695360 in words is "forty-four billion, six hundred eighty-seven million, six hundred ninety-five thousand, three hundred sixty".