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15744320061445 = 5157449306114593
BaseRepresentation
bin1110010100011100001010…
…0110101100000000000101
32001202010211201212011200201
43211013002212230000011
54030423331413431240
653252501335410501
73213326633263213
oct345070246540005
961663751764621
1015744320061445
115020146248328
121923430b23a31
138a28b5763841
143c605a013cb3
151c482c5ebd9a
hexe51c29ac005

15744320061445 has 32 divisors (see below), whose sum is σ = 19063400824800. Its totient is φ = 12482421719040.

The previous prime is 15744320061433. The next prime is 15744320061461. The reversal of 15744320061445 is 54416002344751.

It can be written as a sum of positive squares in 16 ways, for example, as 3306749491809 + 12437570569636 = 1818447^2 + 3526694^2 .

It is not a de Polignac number, because 15744320061445 - 25 = 15744320061413 is a prime.

It is a super-2 number, since 2×157443200614452 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 15744320061395 and 15744320061404.

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 31 ways as a sum of consecutive naturals, for example, 1078888069 + ... + 1078902661.

It is an arithmetic number, because the mean of its divisors is an integer number (595731275775).

Almost surely, 215744320061445 is an apocalyptic number.

It is an amenable number.

15744320061445 is a deficient number, since it is larger than the sum of its proper divisors (3319080763355).

15744320061445 is a wasteful number, since it uses less digits than its factorization.

15744320061445 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18265.

The product of its (nonzero) digits is 1612800, while the sum is 46.

The spelling of 15744320061445 in words is "fifteen trillion, seven hundred forty-four billion, three hundred twenty million, sixty-one thousand, four hundred forty-five".

Divisors: 1 5 157 449 785 2245 3061 14593 15305 70493 72965 352465 480577 1374389 2291101 2402885 6552257 6871945 11455505 32761285 44669173 215779073 223345865 1028704349 1078895365 5143521745 7013060161 20056458677 35065300805 100282293385 3148864012289 15744320061445