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242376219648 = 210342922167
BaseRepresentation
bin1110000110111010111…
…1111001110000000000
3212011121121121200120000
43201232233321300000
512432341303012043
6303202431320000
723340210605613
oct3415657716000
9764547550500
10242376219648
119387806a232
123ab83380000
1319b18782364
14ba340bc17a
1564888862d3
hex386ebf9c00

242376219648 has 110 divisors (see below), whose sum is σ = 723783025416. Its totient is φ = 80792045568.

The previous prime is 242376219637. The next prime is 242376219649. The reversal of 242376219648 is 846912673242.

It is a happy number.

242376219648 is a `hidden beast` number, since 2 + 4 + 2 + 3 + 7 + 621 + 9 + 6 + 4 + 8 = 666.

242376219648 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 242376219594 and 242376219603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242376219649) 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 9 ways as a sum of consecutive naturals, for example, 1378140 + ... + 1544027.

Almost surely, 2242376219648 is an apocalyptic number.

It is an amenable number.

242376219648 is an abundant number, since it is smaller than the sum of its proper divisors (481406805768).

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

242376219648 is an equidigital number, since it uses as much as digits as its factorization.

242376219648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2922199 (or 2922172 counting only the distinct ones).

The product of its digits is 6967296, while the sum is 54.

The spelling of 242376219648 in words is "two hundred forty-two billion, three hundred seventy-six million, two hundred nineteen thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 512 576 648 768 864 1024 1152 1296 1536 1728 2304 2592 3072 3456 4608 5184 6912 9216 10368 13824 20736 27648 41472 82944 2922167 5844334 8766501 11688668 17533002 23377336 26299503 35066004 46754672 52599006 70132008 78898509 93509344 105198012 140264016 157797018 187018688 210396024 236695527 280528032 315594036 374037376 420792048 473391054 561056064 631188072 748074752 841584096 946782108 1122112128 1262376144 1496149504 1683168192 1893564216 2244224256 2524752288 2992299008 3366336384 3787128432 4488448512 5049504576 6732672768 7574256864 8976897024 10099009152 13465345536 15148513728 20198018304 26930691072 30297027456 40396036608 60594054912 80792073216 121188109824 242376219648