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42068521600 = 275271878059
BaseRepresentation
bin100111001011011110…
…101011001010000000
311000120211100022200121
4213023132223022000
51142124020142400
631154230230024
73016332351010
oct471336531200
9130524308617
1042068521600
1116928646a26
1281a07b5314
133c7579b541
1420711c1c40
1511633d221a
hex9cb7ab280

42068521600 has 96 divisors (see below), whose sum is σ = 118768514400. Its totient is φ = 14423485440.

The previous prime is 42068521591. The next prime is 42068521601. The reversal of 42068521600 is 612586024.

It is not an unprimeable number, because it can be changed into a prime (42068521601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 916630 + ... + 961429.

It is an arithmetic number, because the mean of its divisors is an integer number (1237172025).

Almost surely, 242068521600 is an apocalyptic number.

42068521600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42068521600 is an abundant number, since it is smaller than the sum of its proper divisors (76699992800).

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

42068521600 is a wasteful number, since it uses less digits than its factorization.

42068521600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1878090 (or 1878073 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 34.

The spelling of 42068521600 in words is "forty-two billion, sixty-eight million, five hundred twenty-one thousand, six hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 64 70 80 100 112 128 140 160 175 200 224 280 320 350 400 448 560 640 700 800 896 1120 1400 1600 2240 2800 3200 4480 5600 11200 22400 1878059 3756118 7512236 9390295 13146413 15024472 18780590 26292826 30048944 37561180 46951475 52585652 60097888 65732065 75122360 93902950 105171304 120195776 131464130 150244720 187805900 210342608 240391552 262928260 300489440 328660325 375611800 420685216 525856520 600978880 657320650 751223600 841370432 1051713040 1201957760 1314641300 1502447200 1682740864 2103426080 2629282600 3004894400 4206852160 5258565200 6009788800 8413704320 10517130400 21034260800 42068521600