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44672092920 = 233457131031471
BaseRepresentation
bin101001100110101010…
…100000101011111000
311021022021102110010000
4221212222200223320
51212442023433140
632304433553000
73141005344650
oct514652405370
9137267373100
1044672092920
1117a44260664
1287a8715760
13429bcc1ba0
14223acb3360
151266c6aa30
hexa66aa0af8

44672092920 has 640 divisors, whose sum is σ = 186718371840. Its totient is φ = 9327467520.

The previous prime is 44672092919. The next prime is 44672092937. The reversal of 44672092920 is 2929027644.

It is a happy number.

It is a super-2 number, since 2×446720929202 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 30367785 + ... + 30369255.

It is an arithmetic number, because the mean of its divisors is an integer number (291747456).

Almost surely, 244672092920 is an apocalyptic number.

44672092920 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 44672092920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93359185920).

44672092920 is an abundant number, since it is smaller than the sum of its proper divisors (142046278920).

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

44672092920 is a wasteful number, since it uses less digits than its factorization.

44672092920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1617 (or 1604 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 44672092920 in words is "forty-four billion, six hundred seventy-two million, ninety-two thousand, nine hundred twenty".