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20415644513141 = 411576534856981
BaseRepresentation
bin1001010010001011000110…
…01111010011001101110101
32200021201100100221111011012
410221011203033103031311
510133442214443410031
6111230452334322005
74204660463054243
oct451054317231565
980251310844135
1020415644513141
116561254102739
122358832059305
13b51257b50837
145081a0097793
152560cee55b2b
hex1291633d3375

20415644513141 has 16 divisors (see below), whose sum is σ = 21079029889008. Its totient is φ = 19760525990400.

The previous prime is 20415644513119. The next prime is 20415644513161. The reversal of 20415644513141 is 14131544651402.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 4915439292241 + 15500205220900 = 2217079^2 + 3937030^2 .

It is a cyclic number.

It is not a de Polignac number, because 20415644513141 - 242 = 16017598002037 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20415644513101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1774871 + ... + 6631851.

It is an arithmetic number, because the mean of its divisors is an integer number (1317439368063).

Almost surely, 220415644513141 is an apocalyptic number.

It is an amenable number.

20415644513141 is a deficient number, since it is larger than the sum of its proper divisors (663385375867).

20415644513141 is a wasteful number, since it uses less digits than its factorization.

20415644513141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4857832.

The product of its (nonzero) digits is 230400, while the sum is 41.

The spelling of 20415644513141 in words is "twenty trillion, four hundred fifteen billion, six hundred forty-four million, five hundred thirteen thousand, one hundred forty-one".

Divisors: 1 41 157 653 6437 26773 102521 4203361 4856981 199136221 762546017 3171608593 31264386697 130035952313 497942549101 20415644513141