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542003187264 = 2637211223127163
BaseRepresentation
bin1111110001100011110…
…10000100111001000000
31220211000010121201001220
413320301322010321000
532340010303443024
61052554241155040
754105226035300
oct7706172047100
91824003551056
10542003187264
1119995373a800
128906392ba80
133c159222336
141c339879600
15e17340be79
hex7e31e84e40

542003187264 has 1008 divisors, whose sum is σ = 1940239171584. Its totient is φ = 132779243520.

The previous prime is 542003187247. The next prime is 542003187269. The reversal of 542003187264 is 462781300245.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (542003187269) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3325172847 + ... + 3325173009.

It is an arithmetic number, because the mean of its divisors is an integer number (1924840448).

Almost surely, 2542003187264 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 542003187264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (970119585792).

542003187264 is an abundant number, since it is smaller than the sum of its proper divisors (1398235984320).

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

542003187264 is a wasteful number, since it uses less digits than its factorization.

542003187264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 42.

The spelling of 542003187264 in words is "five hundred forty-two billion, three million, one hundred eighty-seven thousand, two hundred sixty-four".