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42718216640 = 26511101120157
BaseRepresentation
bin100111110010001101…
…000100000111000000
311002021002212020201212
4213302031010013000
51144441330413030
631342515345252
73041411564441
oct476215040700
9132232766655
1042718216640
1117131357480
1283422b2228
13404a276788
1420d35c32c8
1511a0469595
hex9f23441c0

42718216640 has 112 divisors (see below), whose sum is σ = 112069924704. Its totient is φ = 15379968000.

The previous prime is 42718216621. The next prime is 42718216649. The reversal of 42718216640 is 4661281724.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42718216649) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 295442 + ... + 415598.

Almost surely, 242718216640 is an apocalyptic number.

42718216640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42718216640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56034962352).

42718216640 is an abundant number, since it is smaller than the sum of its proper divisors (69351708064).

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

42718216640 is a wasteful number, since it uses less digits than its factorization.

42718216640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120286 (or 120276 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 41.

The spelling of 42718216640 in words is "forty-two billion, seven hundred eighteen million, two hundred sixteen thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 101 110 160 176 202 220 320 352 404 440 505 704 808 880 1010 1111 1616 1760 2020 2222 3232 3520 4040 4444 5555 6464 8080 8888 11110 16160 17776 22220 32320 35552 44440 71104 88880 120157 177760 240314 355520 480628 600785 961256 1201570 1321727 1922512 2403140 2643454 3845024 4806280 5286908 6608635 7690048 9612560 10573816 12135857 13217270 19225120 21147632 24271714 26434540 38450240 42295264 48543428 52869080 60679285 84590528 97086856 105738160 121358570 133494427 194173712 211476320 242717140 266988854 388347424 422952640 485434280 533977708 667472135 776694848 970868560 1067955416 1334944270 1941737120 2135910832 2669888540 3883474240 4271821664 5339777080 8543643328 10679554160 21359108320 42718216640