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542225541300 = 223526129629811
BaseRepresentation
bin1111110001111110010…
…10010010100010110100
31220211120122000110110120
413320333022102202310
532340434214310200
61053032303051540
754113566024632
oct7707712224264
91824518013416
10542225541300
11199a58200673
12891062a0bb0
133c193305381
141c35b1da352
15e187bce9a0
hex7e3f2928b4

542225541300 has 72 divisors (see below), whose sum is σ = 1594557962592. Its totient is φ = 142223088000.

The previous prime is 542225541233. The next prime is 542225541307. The reversal of 542225541300 is 3145522245.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (542225541307) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14796606 + ... + 14833205.

Almost surely, 2542225541300 is an apocalyptic number.

542225541300 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

542225541300 is an abundant number, since it is smaller than the sum of its proper divisors (1052332421292).

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

542225541300 is a wasteful number, since it uses less digits than its factorization.

542225541300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29629889 (or 29629882 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 33.

The spelling of 542225541300 in words is "five hundred forty-two billion, two hundred twenty-five million, five hundred forty-one thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 61 75 100 122 150 183 244 300 305 366 610 732 915 1220 1525 1830 3050 3660 4575 6100 9150 18300 29629811 59259622 88889433 118519244 148149055 177778866 296298110 355557732 444447165 592596220 740745275 888894330 1481490550 1777788660 1807418471 2222235825 2962981100 3614836942 4444471650 5422255413 7229673884 8888943300 9037092355 10844510826 18074184710 21689021652 27111277065 36148369420 45185461775 54222554130 90370923550 108445108260 135556385325 180741847100 271112770650 542225541300