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51360114300 = 223521133746183
BaseRepresentation
bin101111110101010011…
…010010011001111100
311220120101010010200120
4233311103102121330
51320141142124200
635332225254540
73465515524365
oct576523223174
9156511103616
1051360114300
111a86649a060
129b54494450
134ac67949a1
1426b321cb6c
151508eab9a0
hexbf54d267c

51360114300 has 144 divisors (see below), whose sum is σ = 162595759872. Its totient is φ = 12413721600.

The previous prime is 51360114293. The next prime is 51360114301. The reversal of 51360114300 is 341106315.

It is a super-2 number, since 2×513601143002 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51360114301) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1089009 + ... + 1135191.

Almost surely, 251360114300 is an apocalyptic number.

51360114300 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 51360114300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81297879936).

51360114300 is an abundant number, since it is smaller than the sum of its proper divisors (111235645572).

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

51360114300 is a wasteful number, since it uses less digits than its factorization.

51360114300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46548 (or 46541 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The spelling of 51360114300 in words is "fifty-one billion, three hundred sixty million, one hundred fourteen thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 337 550 660 674 825 1011 1100 1348 1650 1685 2022 3300 3370 3707 4044 5055 6740 7414 8425 10110 11121 14828 16850 18535 20220 22242 25275 33700 37070 44484 46183 50550 55605 74140 92366 92675 101100 111210 138549 184732 185350 222420 230915 277098 278025 370700 461830 508013 554196 556050 692745 923660 1016026 1112100 1154575 1385490 1524039 2032052 2309150 2540065 2770980 3048078 3463725 4618300 5080130 6096156 6927450 7620195 10160260 12700325 13854900 15240390 15563671 25400650 30480780 31127342 38100975 46691013 50801300 62254684 76201950 77818355 93382026 152403900 155636710 171200381 186764052 233455065 311273420 342400762 389091775 466910130 513601143 684801524 778183550 856001905 933820260 1027202286 1167275325 1556367100 1712003810 2054404572 2334550650 2568005715 3424007620 4280009525 4669101300 5136011430 8560019050 10272022860 12840028575 17120038100 25680057150 51360114300