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42383536128 = 212321767631
BaseRepresentation
bin100111011110010000…
…010111000000000000
311001101210002201101100
4213132100113000000
51143300141124003
631245402134400
73030206053503
oct473620270000
9131353081340
1042383536128
1116a7a44600a
12826a1b1400
133cc5b2547b
1420a0d8313a
151180da9ba3
hex9de417000

42383536128 has 156 divisors (see below), whose sum is σ = 129629848608. Its totient is φ = 13296599040.

The previous prime is 42383536081. The next prime is 42383536141. The reversal of 42383536128 is 82163538324.

42383536128 is a `hidden beast` number, since 4 + 23 + 8 + 3 + 5 + 3 + 612 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 592873 + ... + 660503.

It is an arithmetic number, because the mean of its divisors is an integer number (830960568).

Almost surely, 242383536128 is an apocalyptic number.

42383536128 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42383536128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64814924304).

42383536128 is an abundant number, since it is smaller than the sum of its proper divisors (87246312480).

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

42383536128 is a wasteful number, since it uses less digits than its factorization.

42383536128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67678 (or 67653 counting only the distinct ones).

The product of its digits is 829440, while the sum is 45.

The spelling of 42383536128 in words is "forty-two billion, three hundred eighty-three million, five hundred thirty-six thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 64 68 72 96 102 128 136 144 153 192 204 256 272 288 306 384 408 512 544 576 612 768 816 1024 1088 1152 1224 1536 1632 2048 2176 2304 2448 3072 3264 4096 4352 4608 4896 6144 6528 8704 9216 9792 12288 13056 17408 18432 19584 26112 34816 36864 39168 52224 67631 69632 78336 104448 135262 156672 202893 208896 270524 313344 405786 541048 608679 626688 811572 1082096 1149727 1217358 1623144 2164192 2299454 2434716 3246288 3449181 4328384 4598908 4869432 6492576 6898362 8656768 9197816 9738864 10347543 12985152 13796724 17313536 18395632 19477728 20695086 25970304 27593448 34627072 36791264 38955456 41390172 51940608 55186896 69254144 73582528 77910912 82780344 103881216 110373792 138508288 147165056 155821824 165560688 207762432 220747584 277016576 294330112 311643648 331121376 415524864 441495168 588660224 623287296 662242752 831049728 882990336 1177320448 1246574592 1324485504 1765980672 2354640896 2493149184 2648971008 3531961344 4709281792 5297942016 7063922688 10595884032 14127845376 21191768064 42383536128