Search a number
-
+
5505100505511 = 31959131110311329
BaseRepresentation
bin101000000011100000110…
…0011110110000110100111
3201111021121220211100212020
41100013001203312012213
51210143421212134021
615413001441154223
71105505344135125
oct120070143660647
921437556740766
105505100505511
111832777799272
1274ab1302b973
1330c189b30529
1415063c150915
15983010107c6
hex501c18f61a7

5505100505511 has 64 divisors (see below), whose sum is σ = 7925271552000. Its totient is φ = 3388509296640.

The previous prime is 5505100505503. The next prime is 5505100505521. The reversal of 5505100505511 is 1155050015055.

It is not a de Polignac number, because 5505100505511 - 23 = 5505100505503 is a prime.

It is a super-2 number, since 2×55051005055112 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5505100505521) 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 63 ways as a sum of consecutive naturals, for example, 485924295 + ... + 485935623.

It is an arithmetic number, because the mean of its divisors is an integer number (123832368000).

Almost surely, 25505100505511 is an apocalyptic number.

5505100505511 is a deficient number, since it is larger than the sum of its proper divisors (2420171046489).

5505100505511 is a wasteful number, since it uses less digits than its factorization.

5505100505511 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12644.

The product of its (nonzero) digits is 15625, while the sum is 33.

The spelling of 5505100505511 in words is "five trillion, five hundred five billion, one hundred million, five hundred five thousand, five hundred eleven".

Divisors: 1 3 19 57 59 131 177 393 1103 1121 2489 3309 3363 7467 7729 11329 20957 23187 33987 62871 65077 144493 146851 195231 215251 433479 440553 645753 668411 1236463 1484099 2005233 2745367 3709389 4452297 8236101 8525087 12495887 12699809 25575261 28197881 37487661 38099427 84593643 87561841 161976653 237421853 262685523 485929959 712265559 737257333 1636961197 1663674979 2211771999 4910883591 4991024937 14007889327 31102262743 42023667981 93306788229 96580710623 289742131869 1835033501837 5505100505511