Search a number
-
+
390423415968 = 25321355636861
BaseRepresentation
bin1011010111001110000…
…11001000110010100000
31101022202021112111101100
411223213003020302200
522344041343302333
6455205200434400
740131025164645
oct5534703106240
91338667474340
10390423415968
11140639927043
1263800018a00
132aa805a0681
1414c7a37bdcc
15a250cc7213
hex5ae70c8ca0

390423415968 has 36 divisors (see below), whose sum is σ = 1110266589978. Its totient is φ = 130141138560.

The previous prime is 390423415961. The next prime is 390423415969. The reversal of 390423415968 is 869514324093.

390423415968 is a `hidden beast` number, since 3 + 9 + 0 + 4 + 2 + 3 + 41 + 596 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 374118169104 + 16305246864 = 611652^2 + 127692^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×3904234159682 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (390423415961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 677818143 + ... + 677818718.

Almost surely, 2390423415968 is an apocalyptic number.

It is an amenable number.

390423415968 is an abundant number, since it is smaller than the sum of its proper divisors (719843174010).

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

390423415968 is a wasteful number, since it uses less digits than its factorization.

390423415968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1355636877 (or 1355636866 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 390423415968 in words is "three hundred ninety billion, four hundred twenty-three million, four hundred fifteen thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 1355636861 2711273722 4066910583 5422547444 8133821166 10845094888 12200731749 16267642332 21690189776 24401463498 32535284664 43380379552 48802926996 65070569328 97605853992 130141138656 195211707984 390423415968