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44477780157 = 346157715601
BaseRepresentation
bin101001011011000101…
…010001000010111101
311020210201210100010000
4221123011101002331
51212042302431112
632233253104513
73133125615306
oct513305210275
9136721710100
1044477780157
11179546025a8
128753628139
13426a979415
14221d1717ad
151254b867dc
hexa5b1510bd

44477780157 has 40 divisors (see below), whose sum is σ = 67652705912. Its totient is φ = 29113344000.

The previous prime is 44477780117. The next prime is 44477780173. The reversal of 44477780157 is 75108777444.

44477780157 is a `hidden beast` number, since 4 + 447 + 77 + 80 + 1 + 57 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 19075476996 + 25402303161 = 138114^2 + 159381^2 .

It is not a de Polignac number, because 44477780157 - 214 = 44477763773 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44477780117) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 2843157 + ... + 2858757.

Almost surely, 244477780157 is an apocalyptic number.

It is an amenable number.

44477780157 is a deficient number, since it is larger than the sum of its proper divisors (23174925755).

44477780157 is a wasteful number, since it uses less digits than its factorization.

44477780157 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16251 (or 16242 counting only the distinct ones).

The product of its (nonzero) digits is 6146560, while the sum is 54.

The spelling of 44477780157 in words is "forty-four billion, four hundred seventy-seven million, seven hundred eighty thousand, one hundred fifty-seven".

Divisors: 1 3 9 27 61 81 183 549 577 1647 1731 4941 5193 15579 15601 35197 46737 46803 105591 140409 316773 421227 950319 951661 1263681 2850957 2854983 8564949 9001777 25694847 27005331 77084541 81015993 243047979 549108397 729143937 1647325191 4941975573 14825926719 44477780157