Search a number
-
+
674373304006100 = 2252891492513316121
BaseRepresentation
bin1001100101010101101100010…
…1001110110011010111010100
310021102202110101001120000100222
42121111123011032303113110
51201342413011311143400
610350134452522253512
7262021602065520326
oct23125330516632724
93242673331500328
10674373304006100
11185970126265756
1263776093057298
1322c3a18bc3ab9a
14bc75bb08cb616
1552e6ee5a33185
hex26556c53b35d4

674373304006100 has 288 divisors, whose sum is σ = 1500463557936000. Its totient is φ = 263032704000000.

The previous prime is 674373304006069. The next prime is 674373304006133. The reversal of 674373304006100 is 1600403373476.

It is a happy number.

It is a super-2 number, since 2×6743733040061002 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 110173711040 + ... + 110173717160.

It is an arithmetic number, because the mean of its divisors is an integer number (5209942909500).

Almost surely, 2674373304006100 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 674373304006100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (750231778968000).

674373304006100 is an abundant number, since it is smaller than the sum of its proper divisors (826090253929900).

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

674373304006100 is a wasteful number, since it uses less digits than its factorization.

674373304006100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6955 (or 6948 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 44.

Adding to 674373304006100 its reverse (1600403373476), we get a palindrome (675973707379576).

The spelling of 674373304006100 in words is "six hundred seventy-four trillion, three hundred seventy-three billion, three hundred four million, six thousand, one hundred".