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505352355006 = 23172317910972
BaseRepresentation
bin1110101101010010101…
…10001111110010111110
31210022101212121112000010
413112221112033302332
531234430200330011
61024053342444050
751340050100032
oct7265126176276
91708355545003
10505352355006
11185356258a94
1281b35593626
1338867ca8745
141a6600061c2
15d22a98b1a6
hex75a958fcbe

505352355006 has 96 divisors (see below), whose sum is σ = 1123949571840. Its totient is φ = 150664121344.

The previous prime is 505352354959. The next prime is 505352355017. The reversal of 505352355006 is 600553253505.

It is a super-2 number, since 2×5053523550062 (a number of 24 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 460667050 + ... + 460668146.

It is an arithmetic number, because the mean of its divisors is an integer number (11707808040).

Almost surely, 2505352355006 is an apocalyptic number.

505352355006 is an abundant number, since it is smaller than the sum of its proper divisors (618597216834).

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

505352355006 is a wasteful number, since it uses less digits than its factorization.

505352355006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2418 (or 1321 counting only the distinct ones).

The product of its (nonzero) digits is 337500, while the sum is 39.

The spelling of 505352355006 in words is "five hundred five billion, three hundred fifty-two million, three hundred fifty-five thousand, six".

Divisors: 1 2 3 6 17 23 34 46 51 69 102 138 179 358 391 537 782 1074 1097 1173 2194 2346 3043 3291 4117 6086 6582 8234 9129 12351 18258 18649 24702 25231 37298 50462 55947 69989 75693 111894 139978 151386 196363 209967 392726 419934 428927 589089 857854 1178178 1203409 1286781 2406818 2573562 3338171 3610227 4516349 6676342 7220454 9032698 10014513 13549047 20029026 20457953 27098094 27678407 40915906 55356814 61373859 76777933 83035221 122747718 153555866 166070442 215410211 230333799 430820422 460667598 470532919 646230633 941065838 1292461266 1411598757 2823197514 3661973587 4954434853 7323947174 9908869706 10985920761 14863304559 21971841522 29726609118 84225392501 168450785002 252676177503 505352355006