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413968102275 = 35271360654667
BaseRepresentation
bin1100000011000100110…
…10111111001110000011
31110120112011000111010010
412001202122333032003
523240301313233100
6514101353040003
741623341545160
oct6014232771603
91416464014103
10413968102275
1114a621224382
12682910b6003
133006345c510
1416071335067
15ab7cd2a750
hex60626bf383

413968102275 has 48 divisors (see below), whose sum is σ = 842372029184. Its totient is φ = 174685438080.

The previous prime is 413968102253. The next prime is 413968102279. The reversal of 413968102275 is 572201869314.

It is not a de Polignac number, because 413968102275 - 26 = 413968102211 is a prime.

It is not an unprimeable number, because it can be changed into a prime (413968102279) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 30320509 + ... + 30334158.

It is a 1-persistent number, because it is pandigital, but 2⋅413968102275 = 827936204550 is not.

Almost surely, 2413968102275 is an apocalyptic number.

413968102275 is an abundant number, since it is smaller than the sum of its proper divisors (428403926909).

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

413968102275 is a wasteful number, since it uses less digits than its factorization.

413968102275 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60654700 (or 60654695 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 48.

The spelling of 413968102275 in words is "four hundred thirteen billion, nine hundred sixty-eight million, one hundred two thousand, two hundred seventy-five".

Divisors: 1 3 5 7 13 15 21 25 35 39 65 75 91 105 175 195 273 325 455 525 975 1365 2275 6825 60654667 181964001 303273335 424582669 788510671 909820005 1273748007 1516366675 2122913345 2365532013 3942553355 4549100025 5519574697 6368740035 10614566725 11827660065 16558724091 19712766775 27597873485 31843700175 59138300325 82793620455 137989367425 413968102275