Search a number
-
+
49954995504 = 24323533792593
BaseRepresentation
bin101110100001100011…
…001011110100110000
311202221110010201001200
4232201203023310300
51304301434324004
634540552531200
73415634312211
oct564143136460
9152843121050
1049954995504
111a205324557
1298219b0b00
13493164334b
1425bc777408
151475955239
hexba18cbd30

49954995504 has 120 divisors (see below), whose sum is σ = 140624786640. Its totient is φ = 16554295296.

The previous prime is 49954995439. The next prime is 49954995553. The reversal of 49954995504 is 40559945994.

49954995504 is a `hidden beast` number, since 4 + 9 + 95 + 499 + 5 + 50 + 4 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

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 23 ways as a sum of consecutive naturals, for example, 19264032 + ... + 19266624.

It is an arithmetic number, because the mean of its divisors is an integer number (1171873222).

Almost surely, 249954995504 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 49954995504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70312393320).

49954995504 is an abundant number, since it is smaller than the sum of its proper divisors (90669791136).

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

49954995504 is a wasteful number, since it uses less digits than its factorization.

49954995504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3339 (or 3330 counting only the distinct ones).

The product of its (nonzero) digits is 52488000, while the sum is 63.

The spelling of 49954995504 in words is "forty-nine billion, nine hundred fifty-four million, nine hundred ninety-five thousand, five hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 353 379 706 758 1059 1137 1412 1516 2118 2274 2593 2824 3032 3177 3411 4236 4548 5186 5648 6064 6354 6822 7779 8472 9096 10372 12708 13644 15558 16944 18192 20744 23337 25416 27288 31116 41488 46674 50832 54576 62232 93348 124464 133787 186696 267574 373392 401361 535148 802722 915329 982747 1070296 1204083 1605444 1830658 1965494 2140592 2408166 2745987 2948241 3210888 3661316 3930988 4816332 5491974 5896482 6421776 7322632 7861976 8237961 8844723 9632664 10983948 11792964 14645264 15723952 16475922 17689446 19265328 21967896 23585928 32951844 35378892 43935792 47171856 65903688 70757784 131807376 141515568 346909691 693819382 1040729073 1387638764 2081458146 2775277528 3122187219 4162916292 5550555056 6244374438 8325832584 12488748876 16651665168 24977497752 49954995504