Search a number
-
+
49105621152 = 2532724357947
BaseRepresentation
bin101101101110111011…
…000101000010100000
311200202020220000111100
4231232323011002200
51301032014334102
634320411514400
73355611615150
oct555673050240
9150666800440
1049105621152
111990992aa85
129625458a00
134827693a83
14253ba38760
1514260c8a1c
hexb6eec50a0

49105621152 has 72 divisors (see below), whose sum is σ = 159593275296. Its totient is φ = 14030176896.

The previous prime is 49105621151. The next prime is 49105621171. The reversal of 49105621152 is 25112650194.

49105621152 is a `hidden beast` number, since 4 + 9 + 10 + 5 + 621 + 15 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×491056211522 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (49105621151) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 12176958 + ... + 12180989.

It is an arithmetic number, because the mean of its divisors is an integer number (2216573268).

Almost surely, 249105621152 is an apocalyptic number.

49105621152 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

49105621152 is an abundant number, since it is smaller than the sum of its proper divisors (110487654144).

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

49105621152 is a wasteful number, since it uses less digits than its factorization.

49105621152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24357970 (or 24357959 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The spelling of 49105621152 in words is "forty-nine billion, one hundred five million, six hundred twenty-one thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 24357947 48715894 73073841 97431788 146147682 170505629 194863576 219221523 292295364 341011258 389727152 438443046 511516887 584590728 682022516 779454304 876886092 1023033774 1169181456 1364045032 1534550661 1753772184 2046067548 2338362912 2728090064 3069101322 3507544368 4092135096 5456180128 6138202644 7015088736 8184270192 12276405288 16368540384 24552810576 49105621152