Search a number
-
+
45993213792 = 2532991161149
BaseRepresentation
bin101010110101011010…
…001011111101100000
311101201100100100020200
4222311122023331200
51223143230320132
633043510105200
73215516603211
oct526532137540
9141640310220
1045993213792
1118561a74299
128ab704b200
13444c913506
142324531408
1512e2c2dd7c
hexab568bf60

45993213792 has 72 divisors (see below), whose sum is σ = 130925995200. Its totient is φ = 15315505920.

The previous prime is 45993213727. The next prime is 45993213803. The reversal of 45993213792 is 29731239954.

45993213792 is a `hidden beast` number, since 4 + 599 + 32 + 13 + 7 + 9 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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 11 ways as a sum of consecutive naturals, for example, 204834 + ... + 365982.

It is an arithmetic number, because the mean of its divisors is an integer number (1818416600).

Almost surely, 245993213792 is an apocalyptic number.

It is an amenable number.

45993213792 is an abundant number, since it is smaller than the sum of its proper divisors (84932781408).

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

45993213792 is a wasteful number, since it uses less digits than its factorization.

45993213792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162156 (or 162145 counting only the distinct ones).

The product of its digits is 3674160, while the sum is 54.

The spelling of 45993213792 in words is "forty-five billion, nine hundred ninety-three million, two hundred thirteen thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 991 1982 2973 3964 5946 7928 8919 11892 15856 17838 23784 31712 35676 47568 71352 95136 142704 161149 285408 322298 483447 644596 966894 1289192 1450341 1933788 2578384 2900682 3867576 5156768 5801364 7735152 11602728 15470304 23205456 46410912 159698659 319397318 479095977 638794636 958191954 1277589272 1437287931 1916383908 2555178544 2874575862 3832767816 5110357088 5749151724 7665535632 11498303448 15331071264 22996606896 45993213792