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51543501400 = 23522316368743
BaseRepresentation
bin110000000000001110…
…110110101001011000
311221001011012011111101
4300000032312221120
51321030114021100
635402340041144
73503203350556
oct600016665130
9157034164441
1051543501400
111a94aa65546
129ba59931b4
134b25783471
1426cd718bd6
15151a13386a
hexc003b6a58

51543501400 has 96 divisors (see below), whose sum is σ = 125818018560. Its totient is φ = 19599719040.

The previous prime is 51543501389. The next prime is 51543501419. The reversal of 51543501400 is 410534515.

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, 715429 + ... + 784171.

It is an arithmetic number, because the mean of its divisors is an integer number (1310604360).

Almost surely, 251543501400 is an apocalyptic number.

51543501400 is a gapful number since it is divisible by the number (50) 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 51543501400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62909009280).

51543501400 is an abundant number, since it is smaller than the sum of its proper divisors (74274517160).

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

51543501400 is a wasteful number, since it uses less digits than its factorization.

51543501400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68945 (or 68936 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 28.

The spelling of 51543501400 in words is "fifty-one billion, five hundred forty-three million, five hundred one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 23 25 40 46 50 92 100 115 163 184 200 230 326 460 575 652 815 920 1150 1304 1630 2300 3260 3749 4075 4600 6520 7498 8150 14996 16300 18745 29992 32600 37490 68743 74980 93725 137486 149960 187450 274972 343715 374900 549944 687430 749800 1374860 1581089 1718575 2749720 3162178 3437150 6324356 6874300 7905445 11205109 12648712 13748600 15810890 22410218 31621780 39527225 44820436 56025545 63243560 79054450 89640872 112051090 158108900 224102180 257717507 280127725 316217800 448204360 515435014 560255450 1030870028 1120510900 1288587535 2061740056 2241021800 2577175070 5154350140 6442937675 10308700280 12885875350 25771750700 51543501400