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542753340900 = 223522343177213
BaseRepresentation
bin1111110010111101001…
…11101011110111100100
31220212221102011110101220
413321132213223313210
532343024323402100
61053200515420340
754132635164161
oct7713647536744
91825842143356
10542753340900
1119a1a9125291
1289232bb46b0
133c248771a24
141c3ab34b068
15e1b91d9aa0
hex7e5e9ebde4

542753340900 has 72 divisors (see below), whose sum is σ = 1570453692864. Its totient is φ = 144726172800.

The previous prime is 542753340863. The next prime is 542753340901. The reversal of 542753340900 is 9043357245.

It is a super-2 number, since 2×5427533409002 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (542753340901) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6990694 + ... + 7067906.

Almost surely, 2542753340900 is an apocalyptic number.

542753340900 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

542753340900 is an abundant number, since it is smaller than the sum of its proper divisors (1027700351964).

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

542753340900 is a wasteful number, since it uses less digits than its factorization.

542753340900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100661 (or 100654 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 42.

The spelling of 542753340900 in words is "five hundred forty-two billion, seven hundred fifty-three million, three hundred forty thousand, nine hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 23431 46862 70293 77213 93724 117155 140586 154426 231639 234310 281172 308852 351465 386065 463278 468620 585775 702930 772130 926556 1158195 1171550 1405860 1544260 1757325 1930325 2316390 2343100 3514650 3860650 4632780 5790975 7029300 7721300 11581950 23163900 1809177803 3618355606 5427533409 7236711212 9045889015 10855066818 18091778030 21710133636 27137667045 36183556060 45229445075 54275334090 90458890150 108550668180 135688335225 180917780300 271376670450 542753340900