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349913714964 = 2231121459165173
BaseRepresentation
bin1010001011110000111…
…10111001000100010100
31020110012002101110112220
411011320132321010110
521213110402334324
6424425333142340
734165121334252
oct5057036710424
91213162343486
10349913714964
11125441196100
125799548a9b0
1326cc5a4a5a8
1412d162115d2
15917e6acb79
hex51787b9114

349913714964 has 72 divisors (see below), whose sum is σ = 898057644960. Its totient is φ = 105961141440.

The previous prime is 349913714933. The next prime is 349913714977. The reversal of 349913714964 is 469417319943.

It is a junction number, because it is equal to n+sod(n) for n = 349913714898 and 349913714907.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2035882 + ... + 2201054.

Almost surely, 2349913714964 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 349913714964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449028822480).

349913714964 is an abundant number, since it is smaller than the sum of its proper divisors (548143929996).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

349913714964 is a wasteful number, since it uses less digits than its factorization.

349913714964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166661 (or 166648 counting only the distinct ones).

The product of its digits is 17635968, while the sum is 60.

The spelling of 349913714964 in words is "three hundred forty-nine billion, nine hundred thirteen million, seven hundred fourteen thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 121 132 242 363 484 726 1452 1459 2918 4377 5836 8754 16049 17508 32098 48147 64196 96294 165173 176539 192588 330346 353078 495519 529617 660692 706156 991038 1059234 1816903 1982076 2118468 3633806 5450709 7267612 10901418 19985933 21802836 39971866 59957799 79943732 119915598 239831196 240987407 481974814 722962221 963949628 1445924442 2650861477 2891848884 5301722954 7952584431 10603445908 15905168862 29159476247 31810337724 58318952494 87478428741 116637904988 174956857482 349913714964