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3135216645 = 3351137431327
BaseRepresentation
bin1011101011011111…
…1001110000000101
322002111110111201000
42322313321300011
522410103413040
61235034323513
7140456621211
oct27267716005
98074414630
103135216645
111369825740
12735b89599
133ac7085a2
1421a563941
151353a3130
hexbadf9c05

3135216645 has 128 divisors (see below), whose sum is σ = 6394798080. Its totient is φ = 1443536640.

The previous prime is 3135216569. The next prime is 3135216647. The reversal of 3135216645 is 5466125313.

3135216645 is a `hidden beast` number, since 3 + 1 + 3 + 5 + 2 + 1 + 6 + 645 = 666.

It is not a de Polignac number, because 3135216645 - 28 = 3135216389 is a prime.

It is a super-2 number, since 2×31352166452 = 19659166822170112050, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3135216647) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2361972 + ... + 2363298.

It is an arithmetic number, because the mean of its divisors is an integer number (49959360).

Almost surely, 23135216645 is an apocalyptic number.

It is an amenable number.

3135216645 is an abundant number, since it is smaller than the sum of its proper divisors (3259581435).

3135216645 is a wasteful number, since it uses less digits than its factorization.

3135216645 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1432 (or 1426 counting only the distinct ones).

The product of its digits is 64800, while the sum is 36.

The square root of 3135216645 is about 55993.0053220936. The cubic root of 3135216645 is about 1463.6003973536.

The spelling of 3135216645 in words is "three billion, one hundred thirty-five million, two hundred sixteen thousand, six hundred forty-five".

Divisors: 1 3 5 9 11 15 27 33 37 43 45 55 99 111 129 135 165 185 215 297 333 387 407 473 495 555 645 999 1161 1221 1327 1419 1485 1591 1665 1935 2035 2365 3663 3981 4257 4773 4995 5805 6105 6635 7095 7955 10989 11943 12771 14319 14597 17501 18315 19905 21285 23865 35829 42957 43791 49099 52503 54945 57061 59715 63855 71595 72985 87505 131373 147297 157509 171183 179145 214785 218955 245495 262515 285305 394119 441891 472527 513549 540089 627671 656865 736485 787545 855915 1325673 1540647 1620267 1883013 1970595 2111257 2209455 2362635 2567745 2700445 3138355 4860801 5649039 6333771 6628365 7703235 8101335 9415065 10556285 14582403 16947117 19001313 23223827 24304005 28245195 31668855 57003939 69671481 72912015 84735585 95006565 116119135 209014443 285019695 348357405 627043329 1045072215 3135216645