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44378664264 = 2335115339157
BaseRepresentation
bin101001010101001011…
…001010110101001000
311020112211021201200000
4221111023022311020
51211341414224024
632215352443000
73130513264554
oct512513126510
9136484251600
1044378664264
1117903665340
1287263a9460
13425328516c
14220dd30864
15124b108cc9
hexa552cad48

44378664264 has 192 divisors, whose sum is σ = 138544136640. Its totient is φ = 13194005760.

The previous prime is 44378664229. The next prime is 44378664277. The reversal of 44378664264 is 46246687344.

44378664264 is a `hidden beast` number, since 4 + 4 + 378 + 6 + 6 + 4 + 264 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 44378664264.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1113774 + ... + 1152930.

It is an arithmetic number, because the mean of its divisors is an integer number (721584045).

Almost surely, 244378664264 is an apocalyptic number.

44378664264 is a gapful number since it is divisible by the number (44) 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 44378664264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69272068320).

44378664264 is an abundant number, since it is smaller than the sum of its proper divisors (94165472376).

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

44378664264 is a wasteful number, since it uses less digits than its factorization.

44378664264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39242 (or 39226 counting only the distinct ones).

The product of its digits is 18579456, while the sum is 54.

The spelling of 44378664264 in words is "forty-four billion, three hundred seventy-eight million, six hundred sixty-four thousand, two hundred sixty-four".