Search a number
-
+
505100061666 = 232374317998533
BaseRepresentation
bin1110101100110100100…
…11110100101111100010
31210021202021212200121100
413112122103310233202
531233421103433131
61024012331135230
751330564453654
oct7263223645742
91707667780540
10505100061666
111852368a92a2
1281a84ba4516
1338827942245
141a6386d06d4
15d2137527e6
hex759a4f4be2

505100061666 has 96 divisors (see below), whose sum is σ = 1156536912960. Its totient is φ = 159111050112.

The previous prime is 505100061617. The next prime is 505100061673. The reversal of 505100061666 is 666160001505.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 505100061666.

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, 5076936 + ... + 5175468.

It is an arithmetic number, because the mean of its divisors is an integer number (12047259510).

Almost surely, 2505100061666 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 505100061666, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (578268456480).

505100061666 is an abundant number, since it is smaller than the sum of its proper divisors (651436851294).

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

505100061666 is a wasteful number, since it uses less digits than its factorization.

505100061666 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98800 (or 98797 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The spelling of 505100061666 in words is "five hundred five billion, one hundred million, sixty-one thousand, six hundred sixty-six".

Divisors: 1 2 3 6 9 18 37 43 74 86 111 129 179 222 258 333 358 387 537 666 774 1074 1591 1611 3182 3222 4773 6623 7697 9546 13246 14319 15394 19869 23091 28638 39738 46182 59607 69273 98533 119214 138546 197066 284789 295599 569578 591198 854367 886797 1708734 1773594 2563101 3645721 4236919 5126202 7291442 8473838 10937163 12710757 17637407 21874326 25421514 32811489 35274814 38132271 52912221 65622978 76264542 105824442 156766003 158736663 313532006 317473326 470298009 652584059 758408501 940596018 1305168118 1410894027 1516817002 1957752177 2275225503 2821788054 3915504354 4550451006 5873256531 6825676509 11746513062 13651353018 28061114537 56122229074 84183343611 168366687222 252550030833 505100061666