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500640046005 = 35111091131811361
BaseRepresentation
bin1110100100100000111…
…10001101101110110101
31202212020110120102022010
413102100132031232311
531200302322433010
61021554005354433
751112220114601
oct7222036155665
91685213512263
10500640046005
11183358288540
128103b408a19
1338296928118
141a334232501
15d051e11620
hex749078dbb5

500640046005 has 128 divisors (see below), whose sum is σ = 895238023680. Its totient is φ = 236888064000.

The previous prime is 500640046003. The next prime is 500640046043.

500640046005 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 500640046005 - 21 = 500640046003 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (500640046003) 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, 367846525 + ... + 367847885.

It is an arithmetic number, because the mean of its divisors is an integer number (6994047060).

Almost surely, 2500640046005 is an apocalyptic number.

500640046005 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

500640046005 is a deficient number, since it is larger than the sum of its proper divisors (394597977675).

500640046005 is a wasteful number, since it uses less digits than its factorization.

500640046005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1783.

The product of its (nonzero) digits is 14400, while the sum is 30.

The spelling of 500640046005 in words is "five hundred billion, six hundred forty million, forty-six thousand, five".

Divisors: 1 3 5 11 15 33 55 109 113 165 181 327 339 543 545 565 905 1199 1243 1361 1635 1695 1991 2715 3597 3729 4083 5973 5995 6215 6805 9955 12317 14971 17985 18645 19729 20415 20453 29865 36951 44913 59187 61359 61585 74855 98645 102265 135487 148349 153793 184755 217019 224565 224983 246341 295935 306795 406461 445047 461379 651057 674949 677435 739023 741745 768965 1085095 1124915 1231705 1631839 1691723 2032305 2225235 2229377 2306895 2709751 3255285 3374745 3695115 4895517 5075169 6688131 8129253 8159195 8458615 11146885 13548755 16763437 24477585 24523147 25375845 26851169 27836533 33440655 40646265 50290311 73569441 80553507 83509599 83817185 122615735 134255845 139182665 184397807 251451555 295362859 306201863 367847205 402767535 417547995 553193421 886088577 918605589 921989035 1476814295 1531009315 2765967105 3034182097 4430442885 4593027945 9102546291 15170910485 33376003067 45512731455 100128009201 166880015335 500640046005