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49578375168 = 211327384257
BaseRepresentation
bin101110001011000110…
…011111100000000000
311201222012110102002100
4232023012133200000
51303014031001133
634435340350400
73403412143560
oct561306374000
9151865412070
1049578375168
111a031778083
129737845400
1348a15c958a
14258473ada0
15145285de13
hexb8b19f800

49578375168 has 144 divisors (see below), whose sum is σ = 163647797040. Its totient is φ = 14165213184.

The previous prime is 49578375061. The next prime is 49578375199. The reversal of 49578375168 is 86157387594.

49578375168 is a `hidden beast` number, since 4 + 9 + 578 + 3 + 7 + 51 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 63105 + ... + 321152.

It is an arithmetic number, because the mean of its divisors is an integer number (1136443035).

Almost surely, 249578375168 is an apocalyptic number.

49578375168 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49578375168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81823898520).

49578375168 is an abundant number, since it is smaller than the sum of its proper divisors (114069421872).

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

49578375168 is a wasteful number, since it uses less digits than its factorization.

49578375168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384292 (or 384269 counting only the distinct ones).

The product of its digits is 50803200, while the sum is 63.

The spelling of 49578375168 in words is "forty-nine billion, five hundred seventy-eight million, three hundred seventy-five thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 256 288 336 384 448 504 512 576 672 768 896 1008 1024 1152 1344 1536 1792 2016 2048 2304 2688 3072 3584 4032 4608 5376 6144 7168 8064 9216 10752 14336 16128 18432 21504 32256 43008 64512 129024 384257 768514 1152771 1537028 2305542 2689799 3074056 3458313 4611084 5379598 6148112 6916626 8069397 9222168 10759196 12296224 13833252 16138794 18444336 21518392 24208191 24592448 27666504 32277588 36888672 43036784 48416382 49184896 55333008 64555176 73777344 86073568 96832764 98369792 110666016 129110352 147554688 172147136 193665528 196739584 221332032 258220704 295109376 344294272 387331056 393479168 442664064 516441408 590218752 688588544 774662112 786958336 885328128 1032882816 1180437504 1377177088 1549324224 1770656256 2065765632 2360875008 2754354176 3098648448 3541312512 4131531264 5508708352 6197296896 7082625024 8263062528 12394593792 16526125056 24789187584 49578375168