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542410554036 = 2231323354727281
BaseRepresentation
bin1111110010010100011…
…00000011101010110100
31220212001112011002020010
413321022030003222310
532341324100212121
61053102512340220
754121303431441
oct7711214035264
91825045132203
10542410554036
1119a04268745a
1289158244670
133c1c2742a70
141c3779da9c8
15e199078376
hex7e4a303ab4

542410554036 has 96 divisors (see below), whose sum is σ = 1371382766208. Its totient is φ = 165869383680.

The previous prime is 542410554019. The next prime is 542410554053. The reversal of 542410554036 is 630455014245.

It is an interprime number because it is at equal distance from previous prime (542410554019) and next prime (542410554053).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 542410553985 and 542410554003.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 19868716 + ... + 19895996.

It is an arithmetic number, because the mean of its divisors is an integer number (14285237148).

Almost surely, 2542410554036 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 542410554036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (685691383104).

542410554036 is an abundant number, since it is smaller than the sum of its proper divisors (828972212172).

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

542410554036 is a wasteful number, since it uses less digits than its factorization.

542410554036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28081 (or 28079 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 39.

The spelling of 542410554036 in words is "five hundred forty-two billion, four hundred ten million, five hundred fifty-four thousand, thirty-six".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 233 466 547 699 932 1094 1398 1641 2188 2796 3029 3282 6058 6564 7111 9087 12116 14222 18174 21333 27281 28444 36348 42666 54562 81843 85332 109124 127451 163686 254902 327372 354653 382353 509804 709306 764706 1063959 1418612 1529412 1656863 2127918 3313726 4255836 4970589 6356473 6627452 9941178 12712946 14922707 19069419 19882356 25425892 29845414 38138838 44768121 59690828 76277676 82634149 89536242 165268298 179072484 193995191 247902447 330536596 387990382 495804894 581985573 775980764 991609788 1163971146 2327942292 3476990731 6953981462 10430972193 13907962924 20861944386 41723888772 45200879503 90401759006 135602638509 180803518012 271205277018 542410554036