Search a number
-
+
601125423392 = 251348112
BaseRepresentation
bin10001011111101011101…
…11100000100100100000
32010110121110112111011002
420233311313200210200
534322101102022032
61140053032011132
761300306535534
oct10576567404440
92113543474132
10601125423392
11211a326a287a
1298603830aa8
13448bbb70000
142114791dbc4
1510983a76862
hex8bf5de0920

601125423392 has 90 divisors (see below), whose sum is σ = 1283667181839. Its totient is φ = 277100403840.

The previous prime is 601125423347. The next prime is 601125423397. The reversal of 601125423392 is 293324521106.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 3 ways, for example, as 10523536 + 601114899856 = 3244^2 + 775316^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=548236.

It is a super-2 number, since 2×6011254233922 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (601125423397) by changing a digit.

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 14 ways as a sum of consecutive naturals, for example, 741214667 + ... + 741215477.

Almost surely, 2601125423392 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 601125423392

601125423392 is an abundant number, since it is smaller than the sum of its proper divisors (682541758447).

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

601125423392 is an frugal number, since it uses more digits than its factorization.

601125423392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1684 (or 826 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 38.

Adding to 601125423392 its reverse (293324521106), we get a palindrome (894449944498).

The spelling of 601125423392 in words is "six hundred one billion, one hundred twenty-five million, four hundred twenty-three thousand, three hundred ninety-two".

Divisors: 1 2 4 8 13 16 26 32 52 104 169 208 338 416 676 811 1352 1622 2197 2704 3244 4394 5408 6488 8788 10543 12976 17576 21086 25952 28561 35152 42172 57122 70304 84344 114244 137059 168688 228488 274118 337376 456976 548236 657721 913952 1096472 1315442 1781767 2192944 2630884 3563534 4385888 5261768 7127068 8550373 10523536 14254136 17100746 21047072 23162971 28508272 34201492 46325942 57016544 68402984 92651884 111154849 136805968 185303768 222309698 273611936 370607536 444619396 741215072 889238792 1445013037 1778477584 2890026074 3556955168 5780052148 11560104296 18785169481 23120208592 37570338962 46240417184 75140677924 150281355848 300562711696 601125423392