Search a number
-
+
506565555150 = 235237162756099
BaseRepresentation
bin1110101111100011010…
…10001111001111001110
31210102112102110110201210
413113301222033033032
531244421240231100
61024414001515250
751412111113504
oct7276152171716
91712472413653
10506565555150
11185919060236
1282213942b26
13389cc442255
141a7371b0674
15d29c232c50
hex75f1a8f3ce

506565555150 has 96 divisors (see below), whose sum is σ = 1291052188800. Its totient is φ = 131350101120.

The previous prime is 506565555131. The next prime is 506565555173. The reversal of 506565555150 is 51555565605.

It is a self number, because there is not a number n which added to its sum of digits gives 506565555150.

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, 9001801 + ... + 9057899.

It is an arithmetic number, because the mean of its divisors is an integer number (13448460300).

Almost surely, 2506565555150 is an apocalyptic number.

506565555150 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 506565555150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (645526094400).

506565555150 is an abundant number, since it is smaller than the sum of its proper divisors (784486633650).

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

506565555150 is a wasteful number, since it uses less digits than its factorization.

506565555150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57778 (or 57773 counting only the distinct ones).

The product of its (nonzero) digits is 2812500, while the sum is 48.

The spelling of 506565555150 in words is "five hundred six billion, five hundred sixty-five million, five hundred fifty-five thousand, one hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 37 50 74 75 111 150 185 222 370 555 925 1110 1627 1850 2775 3254 4881 5550 8135 9762 16270 24405 40675 48810 56099 60199 81350 112198 120398 122025 168297 180597 244050 280495 300995 336594 361194 560990 601990 841485 902985 1402475 1504975 1682970 1805970 2075663 2804950 3009950 4151326 4207425 4514925 6226989 8414850 9029850 10378315 12453978 20756630 31134945 51891575 62269890 91273073 103783150 155674725 182546146 273819219 311349450 456365365 547638438 912730730 1369096095 2281826825 2738192190 3377103701 4563653650 6754207402 6845480475 10131311103 13690960950 16885518505 20262622206 33771037010 50656555515 84427592525 101313111030 168855185050 253282777575 506565555150