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542189685760 = 2105269393667
BaseRepresentation
bin1111110001111010000…
…01100000110000000000
31220211111010112210220121
413320331001200300000
532340401024421020
61053024542350024
754112652200552
oct7707501406000
91824433483817
10542189685760
11199a39a40898
12890b628b314
133c188a60088
141c3565454d2
15e18499abaa
hex7e3d060c00

542189685760 has 88 divisors (see below), whose sum is σ = 1305458201520. Its totient is φ = 216069095424.

The previous prime is 542189685677. The next prime is 542189685761. The reversal of 542189685760 is 67586981245.

It is not an unprimeable number, because it can be changed into a prime (542189685761) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1180447 + ... + 1574113.

It is an arithmetic number, because the mean of its divisors is an integer number (14834752290).

Almost surely, 2542189685760 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 542189685760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (652729100760).

542189685760 is an abundant number, since it is smaller than the sum of its proper divisors (763268515760).

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

542189685760 is a wasteful number, since it uses less digits than its factorization.

542189685760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393961 (or 393943 counting only the distinct ones).

The product of its (nonzero) digits is 29030400, while the sum is 61.

The spelling of 542189685760 in words is "five hundred forty-two billion, one hundred eighty-nine million, six hundred eighty-five thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 269 320 512 538 640 1024 1076 1280 1345 2152 2560 2690 4304 5120 5380 8608 10760 17216 21520 34432 43040 68864 86080 137728 172160 275456 344320 393667 688640 787334 1377280 1574668 1968335 3149336 3936670 6298672 7873340 12597344 15746680 25194688 31493360 50389376 62986720 100778752 105896423 125973440 201557504 211792846 251946880 403115008 423585692 503893760 529482115 847171384 1007787520 1058964230 1694342768 2015575040 2117928460 3388685536 4235856920 6777371072 8471713840 13554742144 16943427680 27109484288 33886855360 54218968576 67773710720 108437937152 135547421440 271094842880 542189685760