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542509239312 = 243232233116881
BaseRepresentation
bin1111110010100000001…
…00100000110000010000
31220212022101211210222100
413321100010200300100
532342024331124222
61053120355440400
754123612306555
oct7712004406020
91825271753870
10542509239312
1119a093360137
12891852b6100
133c20a016011
141c386b68a2c
15e1a2a6d4ac
hex7e50120c10

542509239312 has 60 divisors (see below), whose sum is σ = 1518332478364. Its totient is φ = 180829255680.

The previous prime is 542509239277. The next prime is 542509239317. The reversal of 542509239312 is 213932905245.

542509239312 is a `hidden beast` number, since 5 + 4 + 250 + 9 + 2 + 393 + 1 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 181240924176 + 361268315136 = 425724^2 + 601056^2 .

It is not an unprimeable number, because it can be changed into a prime (542509239317) 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 11 ways as a sum of consecutive naturals, for example, 4583112 + ... + 4699992.

Almost surely, 2542509239312 is an apocalyptic number.

It is an amenable number.

542509239312 is an abundant number, since it is smaller than the sum of its proper divisors (975823239052).

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

542509239312 is a wasteful number, since it uses less digits than its factorization.

542509239312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149128 (or 149119 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The spelling of 542509239312 in words is "five hundred forty-two billion, five hundred nine million, two hundred thirty-nine thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 32233 64466 96699 116881 128932 193398 233762 257864 290097 350643 386796 467524 515728 580194 701286 773592 935048 1051929 1160388 1402572 1547184 1870096 2103858 2320776 2805144 4207716 4641552 5610288 8415432 16830864 3767425273 7534850546 11302275819 15069701092 22604551638 30139402184 33906827457 45209103276 60278804368 67813654914 90418206552 135627309828 180836413104 271254619656 542509239312