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350253413005405 = 572131097100245829
BaseRepresentation
bin100111110100011011011101…
…0010000110111100001011101
31200221010220021120101100100211
41033220312322100313201131
5331402022442212133110
63240532110245452421
7133526655042213100
oct11750667220674135
91627126246340324
10350253413005405
11a1668702610288
123334955b411111
13120589a80142b0
14626c4d9c46737
152a75d65c5d98a
hex13e8dba43785d

350253413005405 has 48 divisors (see below), whose sum is σ = 527014783375920. Its totient is φ = 221496765815808.

The previous prime is 350253413005387. The next prime is 350253413005429. The reversal of 350253413005405 is 504500314352053.

It can be written as a sum of positive squares in 8 ways, for example, as 16177304498404 + 334076108507001 = 4022102^2 + 18277749^2 .

It is not a de Polignac number, because 350253413005405 - 231 = 350251265521757 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 46628970 + ... + 53616859.

It is an arithmetic number, because the mean of its divisors is an integer number (10979474653665).

Almost surely, 2350253413005405 is an apocalyptic number.

350253413005405 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

350253413005405 is a deficient number, since it is larger than the sum of its proper divisors (176761370370515).

350253413005405 is a wasteful number, since it uses less digits than its factorization.

350253413005405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100246958 (or 100246951 counting only the distinct ones).

The product of its (nonzero) digits is 540000, while the sum is 40.

Adding to 350253413005405 its reverse (504500314352053), we get a palindrome (854753727357458).

The spelling of 350253413005405 in words is "three hundred fifty trillion, two hundred fifty-three billion, four hundred thirteen million, five thousand, four hundred five".

Divisors: 1 5 7 13 35 49 65 91 245 455 637 1097 3185 5485 7679 14261 38395 53753 71305 99827 268765 499135 698789 3493945 100245829 501229145 701720803 1303195777 3508604015 4912045621 6515978885 9122370439 24560228105 45611852195 63856593073 109969674413 319282965365 549848372065 769787720891 1429605767369 3848938604455 5388514046237 7148028836845 10007240371583 26942570231185 50036201857915 70050682601081 350253413005405