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42261727932 = 223217416127611
BaseRepresentation
bin100111010110111111…
…101100101010111100
311001002021220012221200
4213112333230222330
51143023000243212
631225331255500
73024166521534
oct472677545274
9131067805850
1042261727932
1116a17709786
12823544a590
133ca6817508
14208cb164c4
1511753486dc
hex9d6fecabc

42261727932 has 144 divisors (see below), whose sum is σ = 117774899424. Its totient is φ = 12722688000.

The previous prime is 42261727909. The next prime is 42261727979. The reversal of 42261727932 is 23972716224.

42261727932 is a `hidden beast` number, since 4 + 2 + 2 + 617 + 27 + 9 + 3 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1516807 + ... + 1544417.

It is an arithmetic number, because the mean of its divisors is an integer number (817881246).

Almost surely, 242261727932 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 42261727932, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58887449712).

42261727932 is an abundant number, since it is smaller than the sum of its proper divisors (75513171492).

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

42261727932 is a wasteful number, since it uses less digits than its factorization.

42261727932 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27740 (or 27735 counting only the distinct ones).

The product of its digits is 508032, while the sum is 45.

The spelling of 42261727932 in words is "forty-two billion, two hundred sixty-one million, seven hundred twenty-seven thousand, nine hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 41 51 61 68 82 102 122 123 153 164 183 204 244 246 306 366 369 492 549 612 697 732 738 1037 1098 1394 1476 2074 2091 2196 2501 2788 3111 4148 4182 5002 6222 6273 7503 8364 9333 10004 12444 12546 15006 18666 22509 25092 27611 30012 37332 42517 45018 55222 82833 85034 90036 110444 127551 165666 170068 248499 255102 331332 382653 469387 496998 510204 765306 938774 993996 1132051 1408161 1530612 1684271 1877548 2264102 2816322 3368542 3396153 4224483 4528204 5052813 5632644 6737084 6792306 8448966 10105626 10188459 13584612 15158439 16897932 19244867 20211252 20376918 28632607 30316878 38489734 40753836 57265214 57734601 60633756 69055111 76979468 85897821 114530428 115469202 138110222 171795642 173203803 207165333 230938404 257693463 276220444 343591284 346407606 414330666 515386926 621495999 692815212 828661332 1030773852 1173936887 1242991998 2347873774 2485983996 3521810661 4695747548 7043621322 10565431983 14087242644 21130863966 42261727932