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3478146424025 = 527137321199257
BaseRepresentation
bin110010100111010001101…
…011101001110011011001
3110022111201000010022012212
4302213101223221303121
5423441220441032100
611221501032444505
7506200465542110
oct62472153516331
913274630108185
103478146424025
111121089a88089
12482108249735
131c2cac275020
14c04b39b2c77
156071ba1d635
hex329d1ae9cd9

3478146424025 has 96 divisors (see below), whose sum is σ = 5406457797888. Its totient is φ = 2161081036800.

The previous prime is 3478146423989. The next prime is 3478146424037. The reversal of 3478146424025 is 5204246418743.

It is not a de Polignac number, because 3478146424025 - 220 = 3478145375449 is a prime.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 34992197 + ... + 35091453.

It is an arithmetic number, because the mean of its divisors is an integer number (56317268728).

Almost surely, 23478146424025 is an apocalyptic number.

3478146424025 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

3478146424025 is a deficient number, since it is larger than the sum of its proper divisors (1928311373863).

3478146424025 is a wasteful number, since it uses less digits than its factorization.

3478146424025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99571 (or 99566 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 50.

The spelling of 3478146424025 in words is "three trillion, four hundred seventy-eight billion, one hundred forty-six million, four hundred twenty-four thousand, twenty-five".

Divisors: 1 5 7 13 25 35 65 73 91 175 211 325 365 455 511 949 1055 1477 1825 2275 2555 2743 4745 5275 6643 7385 12775 13715 15403 19201 23725 33215 36925 68575 77015 96005 99257 107821 166075 200239 385075 480025 496285 539105 694799 1001195 1290341 1401673 2481425 2695525 3473995 5005975 6451705 7008365 7245761 9032387 17369975 20943227 32258525 35041825 36228805 45161935 50720327 94194893 104716135 146602589 181144025 225809675 253601635 272261951 470974465 523580675 659364251 733012945 1268008175 1361309755 1528855571 1905833657 2354872325 3296821255 3665064725 6806548775 7644277855 9529168285 10701988997 16484106275 19875122423 38221389275 47645841425 53509944985 99375612115 139125856961 267549724925 496878060575 695629284805 3478146424025