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349993656761 = 7255071297027
BaseRepresentation
bin1010001011111010011…
…11110110000110111001
31020110101122210221002012
411011331033312012321
521213241334004021
6424441310415305
734200111665600
oct5057517660671
91213348727065
10349993656761
11125482327601
12579b8201535
132700948a328
1412d22aa0a37
1591866ee35b
hex517d3f61b9

349993656761 has 12 divisors (see below), whose sum is σ = 407209722768. Its totient is φ = 299939856552.

The previous prime is 349993656757. The next prime is 349993656821. The reversal of 349993656761 is 167656399943.

It is not a de Polignac number, because 349993656761 - 22 = 349993656757 is a prime.

It is a super-2 number, since 2×3499936567612 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 349993656691 and 349993656700.

It is not an unprimeable number, because it can be changed into a prime (349993656721) 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 11 ways as a sum of consecutive naturals, for example, 378671 + ... + 918356.

It is an arithmetic number, because the mean of its divisors is an integer number (33934143564).

Almost surely, 2349993656761 is an apocalyptic number.

It is an amenable number.

349993656761 is a deficient number, since it is larger than the sum of its proper divisors (57216066007).

349993656761 is a wasteful number, since it uses less digits than its factorization.

349993656761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1302548 (or 1302541 counting only the distinct ones).

The product of its digits is 198404640, while the sum is 68.

The spelling of 349993656761 in words is "three hundred forty-nine billion, nine hundred ninety-three million, six hundred fifty-six thousand, seven hundred sixty-one".

Divisors: 1 7 49 5507 38549 269843 1297027 9079189 63554323 7142727689 49999093823 349993656761