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542124421245 = 325113753558491
BaseRepresentation
bin1111110001110010010…
…00100011000001111101
31220211022120202000211100
413320321020203001331
532340232322434440
61053014251443313
754111230356161
oct7707110430175
91824276660740
10542124421245
11199a06114680
1289098456539
133c17838bb14
141c34b9d6ca1
15e17dda8230
hex7e3922307d

542124421245 has 96 divisors (see below), whose sum is σ = 1072679946624. Its totient is φ = 250918387200.

The previous prime is 542124421169. The next prime is 542124421271.

542124421245 is a `hidden beast` number, since 542 + 1 + 24 + 42 + 12 + 45 = 666.

542124421245 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 542124421245 - 219 = 542123896957 is a prime.

It is a super-2 number, since 2×5421244212452 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 691450 + ... + 1249940.

It is an arithmetic number, because the mean of its divisors is an integer number (11173749444).

Almost surely, 2542124421245 is an apocalyptic number.

542124421245 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

542124421245 is a deficient number, since it is larger than the sum of its proper divisors (530555525379).

542124421245 is a wasteful number, since it uses less digits than its factorization.

542124421245 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 558603 (or 558600 counting only the distinct ones).

The product of its digits is 102400, while the sum is 36.

It can be divided in two parts, 542124 and 421245, that added together give a palindrome (963369).

The spelling of 542124421245 in words is "five hundred forty-two billion, one hundred twenty-four million, four hundred twenty-one thousand, two hundred forty-five".

Divisors: 1 3 5 9 11 15 33 37 45 53 55 99 111 159 165 185 265 333 407 477 495 555 583 795 1221 1665 1749 1961 2035 2385 2915 3663 5247 5883 6105 8745 9805 17649 18315 21571 26235 29415 64713 88245 107855 194139 323565 558491 970695 1675473 2792455 5026419 6143401 8377365 18430203 20664167 25132095 29600023 30717005 55290609 61992501 88800069 92151015 103320835 148000115 185977503 227305837 266400207 276453045 309962505 325600253 444000345 681917511 929887515 976800759 1095200851 1136529185 1332001035 1628001265 2045752533 2930402277 3285602553 3409587555 4884003795 5476004255 9856807659 10228762665 12047209361 14652011385 16428012765 36141628083 49284038295 60236046805 108424884249 180708140415 542124421245