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44734097772 = 223471317312879
BaseRepresentation
bin101001101010010111…
…000010100101101100
311021110121002121210000
4221222113002211230
51213103412112042
632314530544300
73142360362060
oct515227024554
9137417077700
1044734097772
1117a76260841
128805438090
1342abac1550
142245213aa0
15126c41774c
hexa6a5c296c

44734097772 has 480 divisors, whose sum is σ = 157367992320. Its totient is φ = 10742077440.

The previous prime is 44734097729. The next prime is 44734097809. The reversal of 44734097772 is 27779043744.

It is a happy number.

44734097772 is a `hidden beast` number, since 447 + 3 + 40 + 97 + 7 + 72 = 666.

It is a super-2 number, since 2×447340977722 (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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

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, 15536629 + ... + 15539507.

It is an arithmetic number, because the mean of its divisors is an integer number (327849984).

Almost surely, 244734097772 is an apocalyptic number.

44734097772 is a gapful number since it is divisible by the number (42) 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 44734097772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78683996160).

44734097772 is an abundant number, since it is smaller than the sum of its proper divisors (112633894548).

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

44734097772 is a wasteful number, since it uses less digits than its factorization.

44734097772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2963 (or 2952 counting only the distinct ones).

The product of its (nonzero) digits is 8297856, while the sum is 54.

The spelling of 44734097772 in words is "forty-four billion, seven hundred thirty-four million, ninety-seven thousand, seven hundred seventy-two".