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49236826464 = 25327113216133
BaseRepresentation
bin101101110110101111…
…100101100101100000
311201002101202221100100
4231312233211211200
51301314111421324
634341420022400
73362064056010
oct556657454540
9151071687310
1049236826464
11199769a5521
129661391a00
134848912057
14255122dc40
1514328944c9
hexb76be5960

49236826464 has 144 divisors (see below), whose sum is σ = 161436536352. Its totient is φ = 13943107584.

The previous prime is 49236826403. The next prime is 49236826481. The reversal of 49236826464 is 46462863294.

49236826464 is a `hidden beast` number, since 492 + 36 + 8 + 2 + 64 + 64 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 49236826464.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 119742 + ... + 335874.

It is an arithmetic number, because the mean of its divisors is an integer number (1121087058).

Almost surely, 249236826464 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 49236826464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80718268176).

49236826464 is an abundant number, since it is smaller than the sum of its proper divisors (112199709888).

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

49236826464 is a wasteful number, since it uses less digits than its factorization.

49236826464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216269 (or 216258 counting only the distinct ones).

The product of its digits is 11943936, while the sum is 54.

The spelling of 49236826464 in words is "forty-nine billion, two hundred thirty-six million, eight hundred twenty-six thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 113 126 144 168 224 226 252 288 336 339 452 504 672 678 791 904 1008 1017 1356 1582 1808 2016 2034 2373 2712 3164 3616 4068 4746 5424 6328 7119 8136 9492 10848 12656 14238 16272 18984 25312 28476 32544 37968 56952 75936 113904 216133 227808 432266 648399 864532 1296798 1512931 1729064 1945197 2593596 3025862 3458128 3890394 4538793 5187192 6051724 6916256 7780788 9077586 10374384 12103448 13616379 15561576 18155172 20748768 24206896 24423029 27232758 31123152 36310344 48413792 48846058 54465516 62246304 72620688 73269087 97692116 108931032 145241376 146538174 170961203 195384232 217862064 219807261 293076348 341922406 390768464 435724128 439614522 512883609 586152696 683844812 781536928 879229044 1025767218 1172305392 1367689624 1538650827 1758458088 2051534436 2344610784 2735379248 3077301654 3516916176 4103068872 5470758496 6154603308 7033832352 8206137744 12309206616 16412275488 24618413232 49236826464