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42250848544 = 2517831516197
BaseRepresentation
bin100111010110010110…
…001100100100100000
311001001112102111020101
4213112112030210200
51143012204123134
631224302152144
73024005200312
oct472626144440
9131045374211
1042250848544
1116a11558953
128231882654
133ca44a85c8
14208b4c37b2
1511743e9e14
hex9d658c920

42250848544 has 96 divisors (see below), whose sum is σ = 89740296576. Its totient is φ = 19509964800.

The previous prime is 42250848463. The next prime is 42250848547. The reversal of 42250848544 is 44584805224.

It is a junction number, because it is equal to n+sod(n) for n = 42250848494 and 42250848503.

It is not an unprimeable number, because it can be changed into a prime (42250848547) 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, 6814854 + ... + 6821050.

It is an arithmetic number, because the mean of its divisors is an integer number (934794756).

Almost surely, 242250848544 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 42250848544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44870148288).

42250848544 is an abundant number, since it is smaller than the sum of its proper divisors (47489448032).

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

42250848544 is a wasteful number, since it uses less digits than its factorization.

42250848544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6458 (or 6450 counting only the distinct ones).

The product of its (nonzero) digits is 1638400, while the sum is 46.

The spelling of 42250848544 in words is "forty-two billion, two hundred fifty million, eight hundred forty-eight thousand, five hundred forty-four".

Divisors: 1 2 4 8 16 17 32 34 68 83 136 151 166 272 302 332 544 604 664 1208 1328 1411 2416 2567 2656 2822 4832 5134 5644 6197 10268 11288 12394 12533 20536 22576 24788 25066 41072 45152 49576 50132 82144 99152 100264 105349 198304 200528 210698 213061 401056 421396 426122 514351 842792 852244 935747 1028702 1685584 1704488 1871494 2057404 3371168 3408976 3742988 4114808 6817952 7485976 8229616 8743967 14971952 15907699 16459232 17487934 29943904 31815398 34975868 63630796 69951736 77667001 127261592 139903472 155334002 254523184 279806944 310668004 509046368 621336008 1242672016 1320339017 2485344032 2640678034 5281356068 10562712136 21125424272 42250848544