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242646026420 = 225737343110781
BaseRepresentation
bin1110000111111011010…
…1001000100010110100
3212012022102022021212102
43201332311020202310
512433414340321140
6303245310241232
723346665123360
oct3417665104264
9765272267772
10242646026420
11939a63a1036
123b0397b6218
1319b5c63b235
14ba5bc722a0
1564a23cde15
hex387ed488b4

242646026420 has 96 divisors (see below), whose sum is σ = 585320795136. Its totient is φ = 82769702400.

The previous prime is 242646026401. The next prime is 242646026429. The reversal of 242646026420 is 24620646242.

242646026420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242646026429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22501430 + ... + 22512210.

It is an arithmetic number, because the mean of its divisors is an integer number (6097091616).

Almost surely, 2242646026420 is an apocalyptic number.

242646026420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242646026420 is an abundant number, since it is smaller than the sum of its proper divisors (342674768716).

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

242646026420 is a wasteful number, since it uses less digits than its factorization.

242646026420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11601 (or 11599 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 38.

The spelling of 242646026420 in words is "two hundred forty-two billion, six hundred forty-six million, twenty-six thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 373 431 746 862 1492 1724 1865 2155 2611 3017 3730 4310 5222 6034 7460 8620 10444 10781 12068 13055 15085 21562 26110 30170 43124 52220 53905 60340 75467 107810 150934 160763 215620 301868 321526 377335 643052 754670 803815 1125341 1509340 1607630 2250682 3215260 4021313 4501364 4646611 5626705 8042626 9293222 11253410 16085252 18586444 20106565 22506820 23233055 28149191 32526277 40213130 46466110 56298382 65052554 80426260 92932220 112596764 130105108 140745955 162631385 281491910 325262770 562983820 650525540 1733185903 3466371806 6932743612 8665929515 12132301321 17331859030 24264602642 34663718060 48529205284 60661506605 121323013210 242646026420