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45261315640 = 23531293124577
BaseRepresentation
bin101010001001110010…
…001101111000111000
311022211100011001201201
4222021302031320320
51220143344100030
632443123023544
73161421556312
oct521162157070
9138740131651
1045261315640
1118216918392
128931b0abb4
1343640b6198
1422952527b2
15129d85a2ca
hexa89c8de38

45261315640 has 64 divisors (see below), whose sum is σ = 105482684160. Its totient is φ = 17460572160.

The previous prime is 45261315623. The next prime is 45261315653. The reversal of 45261315640 is 4651316254.

It is a self number, because there is not a number n which added to its sum of digits gives 45261315640.

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 15 ways as a sum of consecutive naturals, for example, 301032 + ... + 425608.

It is an arithmetic number, because the mean of its divisors is an integer number (1648166940).

Almost surely, 245261315640 is an apocalyptic number.

45261315640 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 45261315640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52741342080).

45261315640 is an abundant number, since it is smaller than the sum of its proper divisors (60221368520).

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

45261315640 is a wasteful number, since it uses less digits than its factorization.

45261315640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124912 (or 124908 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 37.

The spelling of 45261315640 in words is "forty-five billion, two hundred sixty-one million, three hundred fifteen thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 20 31 40 62 124 155 248 293 310 586 620 1172 1240 1465 2344 2930 5860 9083 11720 18166 36332 45415 72664 90830 124577 181660 249154 363320 498308 622885 996616 1245770 2491540 3861887 4983080 7723774 15447548 19309435 30895096 36501061 38618870 73002122 77237740 146004244 154475480 182505305 292008488 365010610 730021220 1131532891 1460042440 2263065782 4526131564 5657664455 9052263128 11315328910 22630657820 45261315640