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542405656530 = 23451783474583
BaseRepresentation
bin1111110010010011110…
…01010111111111010010
31220212001011221021010000
413321021321113333102
532341321322002110
61053102215350430
754121214003133
oct7711171277722
91825034837100
10542405656530
1119a03a941931
1289156682416
133c1c171982a
141c3770c3c8a
15e19890c1c0
hex7e49e57fd2

542405656530 has 160 divisors (see below), whose sum is σ = 1562869655424. Its totient is φ = 134492742144.

The previous prime is 542405656511. The next prime is 542405656571. The reversal of 542405656530 is 35656504245.

542405656530 is a `hidden beast` number, since 5 + 4 + 2 + 4 + 0 + 56 + 565 + 30 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 905619 + ... + 1380201.

Almost surely, 2542405656530 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 542405656530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (781434827712).

542405656530 is an abundant number, since it is smaller than the sum of its proper divisors (1020463998894).

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

542405656530 is a wasteful number, since it uses less digits than its factorization.

542405656530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474702 (or 474693 counting only the distinct ones).

The product of its (nonzero) digits is 2160000, while the sum is 45.

The spelling of 542405656530 in words is "five hundred forty-two billion, four hundred five million, six hundred fifty-six thousand, five hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 17 18 27 30 34 45 51 54 81 83 85 90 102 135 153 162 166 170 249 255 270 306 405 415 459 498 510 747 765 810 830 918 1245 1377 1411 1494 1530 2241 2295 2490 2754 2822 3735 4233 4482 4590 6723 6885 7055 7470 8466 11205 12699 13446 13770 14110 21165 22410 25398 33615 38097 42330 63495 67230 76194 114291 126990 190485 228582 380970 474583 571455 949166 1142910 1423749 2372915 2847498 4271247 4745830 7118745 8067911 8542494 12813741 14237490 16135822 21356235 24203733 25627482 38441223 39390389 40339555 42712470 48407466 64068705 72611199 76882446 78780778 80679110 118171167 121018665 128137410 145222398 192206115 196951945 217833597 236342334 242037330 354513501 363055995 384412230 393903890 435667194 590855835 653500791 669636613 709027002 726111990 1063540503 1089167985 1181711670 1307001582 1339273226 1772567505 2008909839 2127081006 2178335970 3190621509 3267503955 3348183065 3545135010 4017819678 5317702515 6026729517 6381243018 6535007910 6696366130 10044549195 10635405030 12053459034 15953107545 18080188551 20089098390 30133647585 31906215090 36160377102 54240565653 60267295170 90400942755 108481131306 180801885510 271202828265 542405656530