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51986694816 = 25327223115637
BaseRepresentation
bin110000011010101001…
…100000001010100000
311222012001010201120100
4300122221200022200
51322432043213231
635514331142400
73520164420630
oct603251401240
9158161121510
1051986694816
11200581522a1
12a0aa2a4a00
134b96538ca4
1427325246c0
151543eca1e6
hexc1aa602a0

51986694816 has 144 divisors (see below), whose sum is σ = 169715879424. Its totient is φ = 14786606592.

The previous prime is 51986694811. The next prime is 51986694853. The reversal of 51986694816 is 61849668915.

51986694816 is a `hidden beast` number, since 5 + 1 + 98 + 6 + 69 + 481 + 6 = 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 not an unprimeable number, because it can be changed into a prime (51986694811) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 391750 + ... + 507386.

It is an arithmetic number, because the mean of its divisors is an integer number (1178582496).

Almost surely, 251986694816 is an apocalyptic number.

51986694816 is a gapful number since it is divisible by the number (56) 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 51986694816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84857939712).

51986694816 is an abundant number, since it is smaller than the sum of its proper divisors (117729184608).

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

51986694816 is a wasteful number, since it uses less digits than its factorization.

51986694816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115883 (or 115872 counting only the distinct ones).

The product of its digits is 22394880, while the sum is 63.

The spelling of 51986694816 in words is "fifty-one billion, nine hundred eighty-six million, six hundred ninety-four thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 223 224 252 288 336 446 504 669 672 892 1008 1338 1561 1784 2007 2016 2676 3122 3568 4014 4683 5352 6244 7136 8028 9366 10704 12488 14049 16056 18732 21408 24976 28098 32112 37464 49952 56196 64224 74928 112392 115637 149856 224784 231274 346911 449568 462548 693822 809459 925096 1040733 1387644 1618918 1850192 2081466 2428377 2775288 3237836 3700384 4162932 4856754 5550576 6475672 7285131 8325864 9713508 11101152 12951344 14570262 16651728 19427016 25787051 25902688 29140524 33303456 38854032 51574102 58281048 77361153 77708064 103148204 116562096 154722306 180509357 206296408 232083459 233124192 309444612 361018714 412592816 464166918 541528071 618889224 722037428 825185632 928333836 1083056142 1237778448 1444074856 1624584213 1856667672 2166112284 2475556896 2888149712 3249168426 3713335344 4332224568 5776299424 6498336852 7426670688 8664449136 12996673704 17328898272 25993347408 51986694816