Search a number
-
+
604613053152 = 25322498984011
BaseRepresentation
bin10001100110001011011…
…11110000101011100000
32010210121112010102202200
420303011233300223200
534401221420200102
61141431100013200
761452606104403
oct10630557605340
92123545112680
10604613053152
11213462340719
1299217831200
1345026597c64
1421398bbbd3a
1510ad9d3d51c
hex8cc5bf0ae0

604613053152 has 72 divisors (see below), whose sum is σ = 1719457641720. Its totient is φ = 201527220480.

The previous prime is 604613053147. The next prime is 604613053181. The reversal of 604613053152 is 251350316406.

604613053152 is a `hidden beast` number, since 6 + 0 + 4 + 613 + 0 + 5 + 31 + 5 + 2 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 7154827 + ... + 7238837.

It is an arithmetic number, because the mean of its divisors is an integer number (23881356135).

Almost surely, 2604613053152 is an apocalyptic number.

It is an amenable number.

604613053152 is an abundant number, since it is smaller than the sum of its proper divisors (1114844588568).

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

604613053152 is a wasteful number, since it uses less digits than its factorization.

604613053152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109016 (or 109005 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

Adding to 604613053152 its reverse (251350316406), we get a palindrome (855963369558).

The spelling of 604613053152 in words is "six hundred four billion, six hundred thirteen million, fifty-three thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 24989 49978 74967 84011 99956 149934 168022 199912 224901 252033 299868 336044 399824 449802 504066 599736 672088 756099 799648 899604 1008132 1199472 1344176 1512198 1799208 2016264 2398944 2688352 3024396 3598416 4032528 6048792 7196832 8065056 12097584 24195168 2099350879 4198701758 6298052637 8397403516 12596105274 16794807032 18894157911 25192210548 33589614064 37788315822 50384421096 67179228128 75576631644 100768842192 151153263288 201537684384 302306526576 604613053152