Search a number
-
+
640361242160616 = 233431518647475229
BaseRepresentation
bin1001000110011001111011100…
…0010111011110110111101000
310002222022221021222200022112210
42101212132320113132313220
51132413134310443114431
610145533520554005120
7251611400353116504
oct22146367027366750
93088287258608483
10640361242160616
1117604775001aa99
125b9a23704167a0
1321640a62ac6742
14b41b9142c5304
154e073eadb3d46
hex24667b85dede8

640361242160616 has 128 divisors (see below), whose sum is σ = 1649176145971200. Its totient is φ = 207084592915200.

The previous prime is 640361242160557. The next prime is 640361242160687. The reversal of 640361242160616 is 616061242163046.

It is a super-2 number, since 2×6403612421606162 (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 31 ways as a sum of consecutive naturals, for example, 1347241690 + ... + 1347716918.

It is an arithmetic number, because the mean of its divisors is an integer number (12884188640400).

Almost surely, 2640361242160616 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 640361242160616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (824588072985600).

640361242160616 is an abundant number, since it is smaller than the sum of its proper divisors (1008814903810584).

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

640361242160616 is a wasteful number, since it uses less digits than its factorization.

640361242160616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 484079 (or 484075 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 48.

The spelling of 640361242160616 in words is "six hundred forty trillion, three hundred sixty-one billion, two hundred forty-two million, one hundred sixty thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 12 24 43 86 129 151 172 258 302 344 453 516 604 906 1032 1208 1812 3624 6493 8647 12986 17294 19479 25941 25972 34588 38958 51882 51944 69176 77916 103764 155832 207528 371821 475229 743642 950458 1115463 1305697 1425687 1487284 1900916 2230926 2611394 2851374 2974568 3801832 3917091 4461852 5222788 5702748 7834182 8923704 10445576 11405496 15668364 20434847 31336728 40869694 56144971 61304541 71759579 81739388 112289942 122609082 143519158 163478776 168434913 215278737 224579884 245218164 287038316 336869826 430557474 449159768 490436328 574076632 673739652 861114948 1347479304 1722229896 3085661897 4109305163 6171323794 8218610326 9256985691 12327915489 12342647588 16437220652 18513971382 24655830978 24685295176 32874441304 37027942764 49311661956 74055885528 98623323912 176700122009 353400244018 530100366027 620505079613 706800488036 1060200732054 1241010159226 1413600976072 1861515238839 2120401464108 2482020318452 3723030477678 4240802928216 4964040636904 7446060955356 14892121910712 26681718423359 53363436846718 80045155270077 106726873693436 160090310540154 213453747386872 320180621080308 640361242160616