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542003542520 = 235112132784389
BaseRepresentation
bin1111110001100011110…
…11011011100111111000
31220211000011021202101112
413320301323123213320
532340010401330040
61052554252535452
754105232045106
oct7706173334770
91824004252345
10542003542520
11199953962700
1289063a81588
133c159317c4b
141c33992cc76
15e17347c365
hex7e31edb9f8

542003542520 has 96 divisors (see below), whose sum is σ = 1341476942400. Its totient is φ = 196941338880.

The previous prime is 542003542517. The next prime is 542003542537. The reversal of 542003542520 is 25245300245.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6380486 + ... + 6464874.

It is an arithmetic number, because the mean of its divisors is an integer number (13973718150).

Almost surely, 2542003542520 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 542003542520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (670738471200).

542003542520 is an abundant number, since it is smaller than the sum of its proper divisors (799473399880).

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

542003542520 is a wasteful number, since it uses less digits than its factorization.

542003542520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85749 (or 85734 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 32.

Adding to 542003542520 its reverse (25245300245), we get a palindrome (567248842765).

The spelling of 542003542520 in words is "five hundred forty-two billion, three million, five hundred forty-two thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 121 220 242 440 484 605 968 1210 1327 2420 2654 4840 5308 6635 10616 13270 14597 26540 29194 53080 58388 72985 84389 116776 145970 160567 168778 291940 321134 337556 421945 583880 642268 675112 802835 843890 928279 1284536 1605670 1687780 1856558 3211340 3375560 3713116 4641395 6422680 7426232 9282790 10211069 18565580 20422138 37131160 40844276 51055345 81688552 102110690 111984203 204221380 223968406 408442760 447936812 559921015 895873624 1119842030 1231826233 2239684060 2463652466 4479368120 4927304932 6159131165 9854609864 12318262330 13550088563 24636524660 27100177126 49273049320 54200354252 67750442815 108400708504 135500885630 271001771260 542003542520