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50423826900 = 223522331723053
BaseRepresentation
bin101110111101011111…
…101000100111010100
311211011010022210211110
4232331133220213110
51311231444430100
635055301335020
73433356312456
oct567537504724
9154133283743
1050423826900
111a425a32517
129932a07470
1349a7804585
142624b382d6
1514a1bb3250
hexbbd7e89d4

50423826900 has 144 divisors (see below), whose sum is σ = 152722975104. Its totient is φ = 12820600320.

The previous prime is 50423826857. The next prime is 50423826931. The reversal of 50423826900 is 962832405.

It is a happy number.

It is a super-2 number, since 2×504238269002 (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2175774 + ... + 2198826.

It is an arithmetic number, because the mean of its divisors is an integer number (1060576216).

Almost surely, 250423826900 is an apocalyptic number.

50423826900 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 50423826900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76361487552).

50423826900 is an abundant number, since it is smaller than the sum of its proper divisors (102299148204).

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

50423826900 is a wasteful number, since it uses less digits than its factorization.

50423826900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23410 (or 23403 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The spelling of 50423826900 in words is "fifty billion, four hundred twenty-three million, eight hundred twenty-six thousand, nine hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 25 30 46 50 60 69 75 92 100 115 138 150 230 276 300 317 345 460 575 634 690 951 1150 1268 1380 1585 1725 1902 2300 3170 3450 3804 4755 6340 6900 7291 7925 9510 14582 15850 19020 21873 23053 23775 29164 31700 36455 43746 46106 47550 69159 72910 87492 92212 95100 109365 115265 138318 145820 182275 218730 230530 276636 345795 364550 437460 461060 530219 546825 576325 691590 729100 1060438 1093650 1152650 1383180 1590657 1728975 2120876 2187300 2305300 2651095 3181314 3457950 5302190 6362628 6915900 7307801 7953285 10604380 13255475 14615602 15906570 21923403 26510950 29231204 31813140 36539005 39766425 43846806 53021900 73078010 79532850 87693612 109617015 146156020 159065700 168079423 182695025 219234030 336158846 365390050 438468060 504238269 548085075 672317692 730780100 840397115 1008476538 1096170150 1680794230 2016953076 2192340300 2521191345 3361588460 4201985575 5042382690 8403971150 10084765380 12605956725 16807942300 25211913450 50423826900