Search a number
-
+
447340050630675 = 325223838631206809
BaseRepresentation
bin110010110110110100111100…
…0110011111100100000010011
32011122220021212021101222022100
41211231221320303330200103
5432113204410430140200
64223225103210011443
7163140152321645106
oct14555517063744023
92148807767358270
10447340050630675
1111a5999394a4984
12422095b9a16b83
131627bca796b467
147c6753428873d
1536ab51bd91d00
hex196da78cfc813

447340050630675 has 144 divisors (see below), whose sum is σ = 847126400440320. Its totient is φ = 225197324014080.

The previous prime is 447340050630659. The next prime is 447340050630709. The reversal of 447340050630675 is 576036050043744.

447340050630675 is a `hidden beast` number, since 4 + 4 + 7 + 3 + 40 + 0 + 506 + 30 + 67 + 5 = 666.

It is not a de Polignac number, because 447340050630675 - 24 = 447340050630659 is a prime.

It is a super-2 number, since 2×4473400506306752 (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 370076671 + ... + 371283479.

It is an arithmetic number, because the mean of its divisors is an integer number (5882822225280).

Almost surely, 2447340050630675 is an apocalyptic number.

447340050630675 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

447340050630675 is a deficient number, since it is larger than the sum of its proper divisors (399786349809645).

447340050630675 is a wasteful number, since it uses less digits than its factorization.

447340050630675 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1207794 (or 1207786 counting only the distinct ones).

The product of its (nonzero) digits is 25401600, while the sum is 54.

The spelling of 447340050630675 in words is "four hundred forty-seven trillion, three hundred forty billion, fifty million, six hundred thirty thousand, six hundred seventy-five".

Divisors: 1 3 5 9 15 23 25 45 69 75 83 115 207 225 249 345 415 575 747 863 1035 1245 1725 1909 2075 2589 3735 4315 5175 5727 6225 7767 9545 12945 17181 18675 19849 21575 28635 38835 47725 59547 64725 71629 85905 99245 143175 178641 194175 214887 297735 358145 429525 496225 644661 893205 1074435 1206809 1488675 1647467 1790725 3223305 3620427 4466025 4942401 5372175 6034045 8237335 10861281 14827203 16116525 18102135 24712005 27756607 30170225 41186675 54306405 74136015 83269821 90510675 100165147 123560025 138783035 249809463 271532025 300495441 370680075 416349105 500825735 693915175 901486323 1041476167 1249047315 1502477205 2081745525 2303798381 2504128675 3124428501 4507431615 5207380835 6245236575 6911395143 7512386025 9373285503 11518991905 15622142505 20734185429 22537158075 23953951841 26036904175 34556975715 46866427515 57594959525 71861855523 78110712525 86442521861 103670927145 119769759205 172784878575 215585566569 234332137575 259327565583 359309277615 432212609305 518354635725 598848796025 777982696749 1077927832845 1296637827915 1796546388075 1988178002803 2161063046525 3889913483745 5389639164225 5964534008409 6483189139575 9940890014015 17893602025227 19449567418725 29822670042045 49704450070075 89468010126135 149113350210225 447340050630675