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142793555904 = 2632834636451
BaseRepresentation
bin1000010011111100101…
…0001011111111000000
3111122120112021020000200
42010333022023333000
54314420122242104
6145333133245200
713213362125106
oct2047712137700
9448515236020
10142793555904
115561627002a
1223811333800
131060857405c
146ca8655c76
153aab0d6b39
hex213f28bfc0

142793555904 has 168 divisors, whose sum is σ = 415182173952. Its totient is φ = 46915545600.

The previous prime is 142793555831. The next prime is 142793555923. The reversal of 142793555904 is 409555397241.

142793555904 is a `hidden beast` number, since 1 + 42 + 7 + 9 + 3 + 5 + 5 + 590 + 4 = 666.

142793555904 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22131879 + ... + 22138329.

It is an arithmetic number, because the mean of its divisors is an integer number (2471322464).

Almost surely, 2142793555904 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 142793555904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207591086976).

142793555904 is an abundant number, since it is smaller than the sum of its proper divisors (272388618048).

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

142793555904 is a wasteful number, since it uses less digits than its factorization.

142793555904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7015 (or 7002 counting only the distinct ones).

The product of its (nonzero) digits is 6804000, while the sum is 54.

The spelling of 142793555904 in words is "one hundred forty-two billion, seven hundred ninety-three million, five hundred fifty-five thousand, nine hundred four".