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51143820544 = 281759409487
BaseRepresentation
bin101111101000011010…
…001100010100000000
311220000022010021102201
4233220122030110000
51314220304224134
635254541322544
73460251205345
oct575032142400
9156008107381
1051143820544
111a765398393
129ab3b66454
134a90a2420b
1426925d87cc
1514e4ed4914
hexbe868c500

51143820544 has 144 divisors (see below), whose sum is σ = 110420150400. Its totient is φ = 23553441792.

The previous prime is 51143820523. The next prime is 51143820587. The reversal of 51143820544 is 44502834115.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 105017869 + ... + 105018355.

It is an arithmetic number, because the mean of its divisors is an integer number (766806600).

Almost surely, 251143820544 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 51143820544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55210075200).

51143820544 is an abundant number, since it is smaller than the sum of its proper divisors (59276329856).

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

51143820544 is a wasteful number, since it uses less digits than its factorization.

51143820544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 988 (or 974 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 37.

The spelling of 51143820544 in words is "fifty-one billion, one hundred forty-three million, eight hundred twenty thousand, five hundred forty-four".

Divisors: 1 2 4 8 16 17 32 34 59 64 68 118 128 136 236 256 272 409 472 487 544 818 944 974 1003 1088 1636 1888 1948 2006 2176 3272 3776 3896 4012 4352 6544 6953 7552 7792 8024 8279 13088 13906 15104 15584 16048 16558 24131 26176 27812 28733 31168 32096 33116 48262 52352 55624 57466 62336 64192 66232 96524 104704 111248 114932 124672 128384 132464 193048 199183 222496 229864 256768 264928 386096 398366 410227 444992 459728 488461 529856 772192 796732 820454 889984 919456 976922 1059712 1544384 1593464 1640908 1779968 1838912 1953844 2119424 3088768 3186928 3281816 3386111 3677824 3907688 6177536 6373856 6563632 6772222 7355648 7815376 11751797 12747712 13127264 13544444 15630752 23503594 25495424 26254528 27088888 31261504 47007188 50990848 52509056 54177776 62523008 94014376 105018112 108355552 125046016 188028752 199780549 216711104 376057504 399561098 433422208 752115008 799122196 866844416 1504230016 1598244392 3008460032 3196488784 6392977568 12785955136 25571910272 51143820544