Search a number
-
+
46826394000 = 243538279437
BaseRepresentation
bin101011100111000100…
…100001000110010000
311110212102010021121220
4223213010201012100
51231400024102000
633302312045040
73245254532061
oct534704410620
9143772107556
1046826394000
111894a307981
1290aa093780
134553412a59
1423a3056568
151340e5c1a0
hexae7121190

46826394000 has 160 divisors (see below), whose sum is σ = 151166860416. Its totient is φ = 12470617600.

The previous prime is 46826393993. The next prime is 46826394061. The reversal of 46826394000 is 49362864.

It is a happy number.

It is a super-2 number, since 2×468263940002 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4957282 + ... + 4966718.

Almost surely, 246826394000 is an apocalyptic number.

46826394000 is a gapful number since it is divisible by the number (40) 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 46826394000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75583430208).

46826394000 is an abundant number, since it is smaller than the sum of its proper divisors (104340466416).

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

46826394000 is a wasteful number, since it uses less digits than its factorization.

46826394000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10290 (or 10274 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 42.

The spelling of 46826394000 in words is "forty-six billion, eight hundred twenty-six million, three hundred ninety-four thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 750 827 1000 1200 1500 1654 2000 2481 3000 3308 4135 4962 6000 6616 8270 9437 9924 12405 13232 16540 18874 19848 20675 24810 28311 33080 37748 39696 41350 47185 49620 56622 62025 66160 75496 82700 94370 99240 103375 113244 124050 141555 150992 165400 188740 198480 206750 226488 235925 248100 283110 310125 330800 377480 413500 452976 471850 496200 566220 620250 707775 754960 827000 943700 992400 1132440 1179625 1240500 1415550 1654000 1887400 2264880 2359250 2481000 2831100 3538875 3774800 4718500 4962000 5662200 7077750 7804399 9437000 11324400 14155500 15608798 18874000 23413197 28311000 31217596 39021995 46826394 56622000 62435192 78043990 93652788 117065985 124870384 156087980 187305576 195109975 234131970 312175960 374611152 390219950 468263940 585329925 624351920 780439900 936527880 975549875 1170659850 1560879800 1873055760 1951099750 2341319700 2926649625 3121759600 3902199500 4682639400 5853299250 7804399000 9365278800 11706598500 15608798000 23413197000 46826394000