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189742255360 = 285721176591
BaseRepresentation
bin1011000010110110000…
…1010000110100000000
3200010202110112021012021
42300231201100310000
511102043004132420
6223055535011224
716464663362650
oct2605541206400
9603673467167
10189742255360
1173518613899
1230934369b14
1314b7b10a1a8
14927da28360
154e07b527aa
hex2c2d850d00

189742255360 has 72 divisors (see below), whose sum is σ = 519419448576. Its totient is φ = 65054484480.

The previous prime is 189742255349. The next prime is 189742255369. The reversal of 189742255360 is 63552247981.

It is a junction number, because it is equal to n+sod(n) for n = 189742255298 and 189742255307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (189742255369) by changing a digit.

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, 10579336 + ... + 10597255.

It is an arithmetic number, because the mean of its divisors is an integer number (7214159008).

It is a 1-persistent number, because it is pandigital, but 2⋅189742255360 = 379484510720 is not.

Almost surely, 2189742255360 is an apocalyptic number.

189742255360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

189742255360 is an abundant number, since it is smaller than the sum of its proper divisors (329677193216).

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

189742255360 is an equidigital number, since it uses as much as digits as its factorization.

189742255360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21176619 (or 21176605 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 52.

The spelling of 189742255360 in words is "one hundred eighty-nine billion, seven hundred forty-two million, two hundred fifty-five thousand, three hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 256 280 320 448 560 640 896 1120 1280 1792 2240 4480 8960 21176591 42353182 84706364 105882955 148236137 169412728 211765910 296472274 338825456 423531820 592944548 677650912 741180685 847063640 1185889096 1355301824 1482361370 1694127280 2371778192 2710603648 2964722740 3388254560 4743556384 5421207296 5929445480 6776509120 9487112768 11858890960 13553018240 18974225536 23717781920 27106036480 37948451072 47435563840 94871127680 189742255360