Search a number
-
+
4969129955076 = 2234715719372307
BaseRepresentation
bin100100001001111011100…
…1110011100111100000100
3122121001012012200100210000
41020103313032130330010
51122403234232030301
614322441540201300
71022002446465150
oct110236716347404
918531165610700
104969129955076
11164643a350941
12683073699230
132a07826931b1
1413271597c060
15893d2536786
hex484f739cf04

4969129955076 has 240 divisors, whose sum is σ = 15018223513216. Its totient is φ = 1403379634176.

The previous prime is 4969129955029. The next prime is 4969129955093. The reversal of 4969129955076 is 6705599219694.

4969129955076 is a `hidden beast` number, since 4 + 9 + 6 + 9 + 1 + 29 + 95 + 507 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 4969129954995 and 4969129955013.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 68686515 + ... + 68758821.

Almost surely, 24969129955076 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 4969129955076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7509111756608).

4969129955076 is an abundant number, since it is smaller than the sum of its proper divisors (10049093558140).

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

4969129955076 is a wasteful number, since it uses less digits than its factorization.

4969129955076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72680 (or 72669 counting only the distinct ones).

The product of its (nonzero) digits is 330674400, while the sum is 72.

The spelling of 4969129955076 in words is "four trillion, nine hundred sixty-nine billion, one hundred twenty-nine million, nine hundred fifty-five thousand, seventy-six".