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542725450180 = 2251553169310321
BaseRepresentation
bin1111110010111001111…
…01010010100111000100
31220212212110200110112021
413321130331102213010
532343000203401210
61053154041532524
754132146132134
oct7713475224704
91825773613467
10542725450180
1119a194405601
12892257a4144
133c242a57b44
141c3a776aac4
15e1b6a2abda
hex7e5cf529c4

542725450180 has 48 divisors (see below), whose sum is σ = 1141241525424. Its totient is φ = 216801239040.

The previous prime is 542725450121. The next prime is 542725450187. The reversal of 542725450180 is 81054527245.

It can be written as a sum of positive squares in 8 ways, for example, as 57340133764 + 485385316416 = 239458^2 + 696696^2 .

It is not an unprimeable number, because it can be changed into a prime (542725450187) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52579420 + ... + 52589740.

It is an arithmetic number, because the mean of its divisors is an integer number (23775865113).

Almost surely, 2542725450180 is an apocalyptic number.

It is an amenable number.

542725450180 is an abundant number, since it is smaller than the sum of its proper divisors (598516075244).

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

542725450180 is a wasteful number, since it uses less digits than its factorization.

542725450180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13576 (or 13574 counting only the distinct ones).

The product of its (nonzero) digits is 448000, while the sum is 43.

The spelling of 542725450180 in words is "five hundred forty-two billion, seven hundred twenty-five million, four hundred fifty thousand, one hundred eighty".

Divisors: 1 2 4 5 10 20 1553 1693 3106 3386 6212 6772 7765 8465 10321 15530 16930 20642 31060 33860 41284 51605 103210 206420 2629229 5258458 10516916 13146145 16028513 17473453 26292290 32057026 34946906 52584580 64114052 69893812 80142565 87367265 160285130 174734530 320570260 349469060 27136272509 54272545018 108545090036 135681362545 271362725090 542725450180