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1542203084961 = 3271121973145861
BaseRepresentation
bin10110011100010010011…
…101111001000010100001
312110102200210011222122100
4112130102131321002201
5200231412442204321
63140251152201013
7216264141634410
oct26342235710241
95412623158570
101542203084961
11545054488800
1220aa80839169
13b2576a3a726
1454900679477
152a1b24ac326
hex167127790a1

1542203084961 has 144 divisors (see below), whose sum is σ = 2985993512320. Its totient is φ = 748576857600.

The previous prime is 1542203084957. The next prime is 1542203084963. The reversal of 1542203084961 is 1694803022451.

1542203084961 is a `hidden beast` number, since 1 + 542 + 2 + 0 + 3 + 0 + 8 + 49 + 61 = 666.

It is not a de Polignac number, because 1542203084961 - 22 = 1542203084957 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1542203084963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 10500171 + ... + 10646031.

Almost surely, 21542203084961 is an apocalyptic number.

1542203084961 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1542203084961 is a deficient number, since it is larger than the sum of its proper divisors (1443790427359).

1542203084961 is a wasteful number, since it uses less digits than its factorization.

1542203084961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145988 (or 145974 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 1542203084961 in words is "one trillion, five hundred forty-two billion, two hundred three million, eighty-four thousand, nine hundred sixty-one".

Divisors: 1 3 7 9 11 19 21 33 57 63 73 77 99 121 133 171 209 219 231 363 399 511 627 657 693 803 847 1089 1197 1387 1463 1533 1881 2299 2409 2541 4161 4389 4599 5621 6897 7227 7623 8833 9709 12483 13167 15257 16093 16863 20691 26499 29127 45771 48279 50589 61831 79497 87381 106799 137313 144837 145861 167827 185493 320397 437583 503481 556479 961191 1021027 1174789 1312749 1510443 1604471 2771359 3063081 3524367 4813413 8314077 9189243 10573101 10647853 11231297 14440239 17649181 19399513 24942231 30484949 31943559 33693891 52947543 58198539 74534971 91454847 95830677 101081673 117126383 123544267 158842629 174595617 202309207 213394643 223604913 274364541 335334439 351379149 370632801 606927621 640183929 670814739 819884681 1006003317 1054137447 1111898403 1288390213 1416164449 1820782863 1920551787 2225401277 2347341073 2459654043 3018009951 3865170639 4248493347 6676203831 7042023219 7378962129 9018731491 11595511917 12745480041 15577808939 20028611493 21126069657 24479414047 27056194473 46733426817 73438242141 81168583419 140200280451 171355898329 220314726423 514067694987 1542203084961