Search a number
-
+
4974471654516 = 2233731312778089
BaseRepresentation
bin100100001100011010110…
…0111011010110001110100
3122121112222111000210212000
41020120311213122301310
51123000204220421031
614325123555255300
71022252021256000
oct110306547326164
918545874023760
104974471654516
111648730623781
126841045aa530
132a112425cab0
14132aa1189700
15895e64873e6
hex486359dac74

4974471654516 has 384 divisors, whose sum is σ = 16211583360000. Its totient is φ = 1310759138304.

The previous prime is 4974471654511. The next prime is 4974471654521. The reversal of 4974471654516 is 6154561744794.

It is a happy number.

4974471654516 is a `hidden beast` number, since 4 + 9 + 7 + 4 + 4 + 71 + 6 + 545 + 16 = 666.

It is an interprime number because it is at equal distance from previous prime (4974471654511) and next prime (4974471654521).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4974471654511) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 614963400 + ... + 614971488.

It is an arithmetic number, because the mean of its divisors is an integer number (42217665000).

Almost surely, 24974471654516 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 4974471654516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8105791680000).

4974471654516 is an abundant number, since it is smaller than the sum of its proper divisors (11237111705484).

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

4974471654516 is a wasteful number, since it uses less digits than its factorization.

4974471654516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9413 (or 9391 counting only the distinct ones).

The product of its digits is 101606400, while the sum is 63.

The spelling of 4974471654516 in words is "four trillion, nine hundred seventy-four billion, four hundred seventy-one million, six hundred fifty-four thousand, five hundred sixteen".