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2541438078465 = 3511131957760521
BaseRepresentation
bin100100111110111001100…
…000111000111000000001
322222221220012010001111110
4210332321200320320001
5313114331122002330
65223304234033533
7351420130143666
oct44767140707001
98887805101443
102541438078465
1189a8aa5a3a20
1235066a5788a9
1315586c6861b0
148b013265a6d
15461969aedb0
hex24fb9838e01

2541438078465 has 64 divisors (see below), whose sum is σ = 4777515654912. Its totient is φ = 1137349939200.

The previous prime is 2541438078427. The next prime is 2541438078493. The reversal of 2541438078465 is 5648708341452.

It is not a de Polignac number, because 2541438078465 - 213 = 2541438070273 is a prime.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 41962405 + ... + 42022925.

It is an arithmetic number, because the mean of its divisors is an integer number (74648682108).

Almost surely, 22541438078465 is an apocalyptic number.

It is an amenable number.

2541438078465 is a deficient number, since it is larger than the sum of its proper divisors (2236077576447).

2541438078465 is a wasteful number, since it uses less digits than its factorization.

2541438078465 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80130.

The product of its (nonzero) digits is 25804800, while the sum is 57.

The spelling of 2541438078465 in words is "two trillion, five hundred forty-one billion, four hundred thirty-eight million, seventy-eight thousand, four hundred sixty-five".

Divisors: 1 3 5 11 13 15 33 39 55 65 143 165 195 429 715 2145 19577 58731 60521 97885 181563 215347 254501 293655 302605 646041 665731 763503 786773 907815 1076735 1272505 1997193 2360319 2799511 3230205 3328655 3817515 3933865 8398533 8654503 9985965 11801595 13997555 25963509 41992665 43272515 129817545 1184819617 3554458851 5924098085 13033015787 15402655021 17772294255 39099047361 46207965063 65165078935 77013275105 169429205231 195495236805 231039825315 508287615693 847146026155 2541438078465