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42164705280 = 211351372549
BaseRepresentation
bin100111010001001101…
…100101100000000000
311000211112022221220010
4213101031211200000
51142323131032110
631211543544520
73021611036625
oct472115454000
9130745287803
1042164705280
1116977971175
128208a5b140
133c8c6a6c69
14207dc9c34c
15116ba81020
hex9d1365800

42164705280 has 96 divisors (see below), whose sum is σ = 134894214000. Its totient is φ = 11243913216.

The previous prime is 42164705183. The next prime is 42164705299. The reversal of 42164705280 is 8250746124.

It is a tau number, because it is divible by the number of its divisors (96).

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 7 ways as a sum of consecutive naturals, for example, 655555 + ... + 716994.

Almost surely, 242164705280 is an apocalyptic number.

42164705280 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42164705280 is an abundant number, since it is smaller than the sum of its proper divisors (92729508720).

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

42164705280 is a wasteful number, since it uses less digits than its factorization.

42164705280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1372579 (or 1372559 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 39.

The spelling of 42164705280 in words is "forty-two billion, one hundred sixty-four million, seven hundred five thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 960 1024 1280 1536 1920 2048 2560 3072 3840 5120 6144 7680 10240 15360 30720 1372549 2745098 4117647 5490196 6862745 8235294 10980392 13725490 16470588 20588235 21960784 27450980 32941176 41176470 43921568 54901960 65882352 82352940 87843136 109803920 131764704 164705880 175686272 219607840 263529408 329411760 351372544 439215680 527058816 658823520 702745088 878431360 1054117632 1317647040 1405490176 1756862720 2108235264 2635294080 2810980352 3513725440 4216470528 5270588160 7027450880 8432941056 10541176320 14054901760 21082352640 42164705280