Search a number
-
+
49917490272 = 25341323292221
BaseRepresentation
bin101110011111010100…
…000111010001100000
311202211211120020120000
4232133110013101200
51304212334142042
634533133020000
73415000444416
oct563724072140
9152754506500
1049917490272
111a1961382a1
129811324600
1349269411c0
1425b77b32b6
1514724e774c
hexb9f507460

49917490272 has 480 divisors, whose sum is σ = 170738124480. Its totient is φ = 14178447360.

The previous prime is 49917490247. The next prime is 49917490309. The reversal of 49917490272 is 27209471994.

49917490272 is a `hidden beast` number, since 49 + 91 + 7 + 490 + 27 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 22474122 + ... + 22476342.

It is an arithmetic number, because the mean of its divisors is an integer number (355704426).

Almost surely, 249917490272 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 49917490272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85369062240).

49917490272 is an abundant number, since it is smaller than the sum of its proper divisors (120820634208).

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

49917490272 is a wasteful number, since it uses less digits than its factorization.

49917490272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2308 (or 2291 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The spelling of 49917490272 in words is "forty-nine billion, nine hundred seventeen million, four hundred ninety thousand, two hundred seventy-two".