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3680898795 = 34577118287
BaseRepresentation
bin1101101101100110…
…0000111011101011
3100111112021000220000
43123121200323223
530014302230140
61405130234043
7160134060240
oct33331407353
910445230800
103680898795
111619853822
12868885923
13468796632
1426cc0b5c7
15168241a30
hexdb660eeb

3680898795 has 80 divisors (see below), whose sum is σ = 7647602688. Its totient is φ = 1658905920.

The previous prime is 3680898773. The next prime is 3680898827. The reversal of 3680898795 is 5978980863.

It is not a de Polignac number, because 3680898795 - 210 = 3680897771 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 192142 + ... + 210428.

Almost surely, 23680898795 is an apocalyptic number.

3680898795 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

3680898795 is an abundant number, since it is smaller than the sum of its proper divisors (3966703893).

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

3680898795 is a wasteful number, since it uses less digits than its factorization.

3680898795 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18382 (or 18373 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 63.

The square root of 3680898795 is about 60670.4111985406. The cubic root of 3680898795 is about 1544.0142076053.

The spelling of 3680898795 in words is "three billion, six hundred eighty million, eight hundred ninety-eight thousand, seven hundred ninety-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 71 81 105 135 189 213 315 355 405 497 567 639 945 1065 1491 1917 2485 2835 3195 4473 5751 7455 9585 13419 18287 22365 28755 40257 54861 67095 91435 128009 164583 201285 274305 384027 493749 640045 822915 1152081 1298377 1481247 1920135 2468745 3456243 3895131 5760405 6491885 7406235 9088639 10368729 11685393 17281215 19475655 27265917 35056179 45443195 51843645 58426965 81797751 105168537 136329585 175280895 245393253 408988755 525842685 736179759 1226966265 3680898795