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542187506112 = 26373113013333
BaseRepresentation
bin1111110001111001110…
…01001100100111000000
31220211110222110001222220
413320330321030213000
532340400000143422
61053024423531040
754112624522110
oct7707471144700
91824428401886
10542187506112
11199a3879222a
12890b55b9a80
133c188478c45
141c356139040
15e1846b9e5c
hex7e3ce4c9c0

542187506112 has 112 divisors (see below), whose sum is σ = 1692358060032. Its totient is φ = 149913584640.

The previous prime is 542187506101. The next prime is 542187506117. The reversal of 542187506112 is 211605781245.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (542187506117) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6465003 + ... + 6548330.

Almost surely, 2542187506112 is an apocalyptic number.

It is an amenable number.

542187506112 is an abundant number, since it is smaller than the sum of its proper divisors (1150170553920).

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

542187506112 is a wasteful number, since it uses less digits than its factorization.

542187506112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13013386 (or 13013376 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 42.

The spelling of 542187506112 in words is "five hundred forty-two billion, one hundred eighty-seven million, five hundred six thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 32 42 48 56 62 64 84 93 96 112 124 168 186 192 217 224 248 336 372 434 448 496 651 672 744 868 992 1302 1344 1488 1736 1984 2604 2976 3472 5208 5952 6944 10416 13888 20832 41664 13013333 26026666 39039999 52053332 78079998 91093331 104106664 156159996 182186662 208213328 273279993 312319992 364373324 403413323 416426656 546559986 624639984 728746648 806826646 832853312 1093119972 1210239969 1249279968 1457493296 1613653292 2186239944 2420479938 2498559936 2823893261 2914986592 3227306584 4372479888 4840959876 5647786522 5829973184 6454613168 8471679783 8744959776 9681919752 11295573044 12909226336 16943359566 17489919552 19363839504 22591146088 25818452672 33886719132 38727679008 45182292176 67773438264 77455358016 90364584352 135546876528 180729168704 271093753056 542187506112