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542213252883930 = 235193139581775259
BaseRepresentation
bin111101101001000111101110…
…0010101001010010111011010
32122002211002011212021110012110
41323102033130111022113122
51032032110220214241210
65201105155112253150
7222131420604234165
oct17322173425122732
92562732155243173
10542213252883930
11147847392867761
12509906893a11b6
131a37164b3c5924
1497c739365cadc
1542a43272c2420
hex1ed23dc54a5da

542213252883930 has 128 divisors (see below), whose sum is σ = 1414026608025600. Its totient is φ = 132557954284800.

The previous prime is 542213252883881. The next prime is 542213252883979. The reversal of 542213252883930 is 39388252312245.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (542213252883881) and next prime (542213252883979).

It is a Harshad number since it is a multiple of its sum of digits (57).

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, 699008641 + ... + 699783899.

It is an arithmetic number, because the mean of its divisors is an integer number (11047082875200).

Almost surely, 2542213252883930 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 542213252883930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (707013304012800).

542213252883930 is an abundant number, since it is smaller than the sum of its proper divisors (871813355141670).

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

542213252883930 is a wasteful number, since it uses less digits than its factorization.

542213252883930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 814900.

The product of its (nonzero) digits is 24883200, while the sum is 57.

The spelling of 542213252883930 in words is "five hundred forty-two trillion, two hundred thirteen billion, two hundred fifty-two million, eight hundred eighty-three thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 10 15 19 30 31 38 57 62 93 95 114 155 186 190 285 310 465 570 589 930 1178 1767 2945 3534 5890 8835 17670 39581 79162 118743 197905 237486 395810 593715 752039 775259 1187430 1227011 1504078 1550518 2256117 2325777 2454022 3681033 3760195 3876295 4512234 4651554 6135055 7362066 7520390 7752590 11280585 11628885 12270110 14729921 18405165 22561170 23257770 23313209 24033029 29459842 36810330 44189763 46626418 48066058 69939627 72099087 73649605 88379526 116566045 120165145 139879254 144198174 147299210 220948815 233132090 240330290 349698135 360495435 441897630 456627551 699396270 720990870 913255102 1369882653 2283137755 2739765306 4566275510 6849413265 13698826530 30685526479 61371052958 92056579437 153427632395 184113158874 306855264790 460282897185 583025003101 920565794370 951251320849 1166050006202 1749075009303 1902502641698 2853753962547 2915125015505 3498150018606 4756256604245 5707507925094 5830250031010 8745375046515 9512513208490 14268769812735 17490750093030 18073775096131 28537539625470 36147550192262 54221325288393 90368875480655 108442650576786 180737750961310 271106626441965 542213252883930