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542420345502 = 23375928378573
BaseRepresentation
bin1111110010010101100…
…01011010001010011110
31220212002012120112121000
413321022301122022132
532341334102024002
61053103502251130
754121452602130
oct7711261321236
91825065515530
10542420345502
1119a048164982
128915b586aa6
133c1c4790729
141c379029050
15e199d5e61c
hex7e4ac5a29e

542420345502 has 128 divisors (see below), whose sum is σ = 1401581491200. Its totient is φ = 152279042688.

The previous prime is 542420345497. The next prime is 542420345587. The reversal of 542420345502 is 205543024245.

542420345502 is a `hidden beast` number, since 54 + 2 + 4 + 20 + 34 + 550 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 63266488 + ... + 63275060.

It is an arithmetic number, because the mean of its divisors is an integer number (10949855400).

Almost surely, 2542420345502 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 542420345502, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (700790745600).

542420345502 is an abundant number, since it is smaller than the sum of its proper divisors (859161145698).

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

542420345502 is a wasteful number, since it uses less digits than its factorization.

542420345502 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11487 (or 11481 counting only the distinct ones).

The product of its (nonzero) digits is 192000, while the sum is 36.

Adding to 542420345502 its reverse (205543024245), we get a palindrome (747963369747).

The spelling of 542420345502 in words is "five hundred forty-two billion, four hundred twenty million, three hundred forty-five thousand, five hundred two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 59 63 118 126 177 189 354 378 413 531 826 1062 1239 1593 2478 2837 3186 3717 5674 7434 8511 8573 11151 17022 17146 19859 22302 25533 25719 39718 51066 51438 59577 60011 76599 77157 119154 120022 153198 154314 167383 178731 180033 231471 334766 357462 360066 462942 502149 505807 536193 540099 1004298 1011614 1072386 1080198 1171681 1506447 1517421 1620297 2343362 3012894 3034842 3240594 3515043 3540649 4519341 4552263 7030086 7081298 9038682 9104526 10545129 10621947 13656789 21090258 21243894 24321601 27313578 31635387 31865841 48643202 63270774 63731682 72964803 95597523 145929606 170251207 191195046 218894409 340502414 437788818 510753621 656683227 1021507242 1313366454 1434974459 1532260863 2869948918 3064521726 4304923377 4596782589 8609846754 9193565178 10044821213 12914770131 20089642426 25829540262 30134463639 38744310393 60268927278 77488620786 90403390917 180806781834 271210172751 542420345502