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542284185936 = 243193179242797
BaseRepresentation
bin1111110010000101010…
…10000000000101010000
31220211201201100220210010
413321002222000011100
532341044222422221
61053042200034520
754115210345353
oct7710252000520
91824651326703
10542284185936
11199a88316209
1289121a62a40
133c1a24c943c
141c364d0429a
15e18ce15c76
hex7e42a80150

542284185936 has 160 divisors (see below), whose sum is σ = 1541475942400. Its totient is φ = 163625080320.

The previous prime is 542284185901. The next prime is 542284185959. The reversal of 542284185936 is 639581482245.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2112090 + ... + 2354886.

It is an arithmetic number, because the mean of its divisors is an integer number (9634224640).

Almost surely, 2542284185936 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 542284185936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (770737971200).

542284185936 is an abundant number, since it is smaller than the sum of its proper divisors (999191756464).

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

542284185936 is a wasteful number, since it uses less digits than its factorization.

542284185936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242937 (or 242931 counting only the distinct ones).

The product of its digits is 16588800, while the sum is 57.

The spelling of 542284185936 in words is "five hundred forty-two billion, two hundred eighty-four million, one hundred eighty-five thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 19 24 31 38 48 57 62 76 79 93 114 124 152 158 186 228 237 248 304 316 372 456 474 496 589 632 744 912 948 1178 1264 1488 1501 1767 1896 2356 2449 3002 3534 3792 4503 4712 4898 6004 7068 7347 9006 9424 9796 12008 14136 14694 18012 19592 24016 28272 29388 36024 39184 46531 58776 72048 93062 117552 139593 186124 242797 279186 372248 485594 558372 728391 744496 971188 1116744 1456782 1942376 2233488 2913564 3884752 4613143 5827128 7526707 9226286 11654256 13839429 15053414 18452572 19180963 22580121 27678858 30106828 36905144 38361926 45160242 55357716 57542889 60213656 73810288 76723852 90320484 110715432 115085778 120427312 143007433 153447704 180640968 221430864 230171556 286014866 306895408 361281936 364438297 429022299 460343112 572029732 594609853 728876594 858044598 920686224 1093314891 1144059464 1189219706 1457753188 1716089196 1783829559 2186629782 2288118928 2378439412 2915506376 3432178392 3567659118 4373259564 4756878824 5831012752 6864356784 7135318236 8746519128 9513757648 11297587207 14270636472 17493038256 22595174414 28541272944 33892761621 45190348828 67785523242 90380697656 135571046484 180761395312 271142092968 542284185936