Search a number
-
+
49554556003656 = 2332111722975121401
BaseRepresentation
bin10110100010001110100011…
…01101010010010101001000
320111110100222012200200121100
423101013101231102111020
522443400212314104111
6253221014310341400
713303125044055624
oct1321072155222510
9214410865620540
1049554556003656
1114875a72a85720
12568400865a860
132185c891c9692
14c3464bc3c184
155ae063873756
hex2d11d1b52548

49554556003656 has 384 divisors, whose sum is σ = 155915179430400. Its totient is φ = 14052096000000.

The previous prime is 49554556003637. The next prime is 49554556003697. The reversal of 49554556003656 is 65630065545594.

49554556003656 is a `hidden beast` number, since 4 + 9 + 5 + 5 + 4 + 5 + 560 + 0 + 3 + 65 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 49554556003593 and 49554556003602.

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, 2315514556 + ... + 2315535956.

It is an arithmetic number, because the mean of its divisors is an integer number (406029113100).

Almost surely, 249554556003656 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 49554556003656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77957589715200).

49554556003656 is an abundant number, since it is smaller than the sum of its proper divisors (106360623426744).

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

49554556003656 is a wasteful number, since it uses less digits than its factorization.

49554556003656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22421 (or 22414 counting only the distinct ones).

The product of its (nonzero) digits is 291600000, while the sum is 63.

The spelling of 49554556003656 in words is "forty-nine trillion, five hundred fifty-four billion, five hundred fifty-six million, three thousand, six hundred fifty-six".