Search a number
-
+
46312421364 = 223211246322963
BaseRepresentation
bin101011001000011011…
…110111011111110100
311102112120222202201100
4223020123313133310
51224321434440424
633135311530100
73226444041426
oct531033673764
9142476882640
1046312421364
1118706177700
128b85b29930
1344a0aa7b31
142354aa4816
151310c83dc9
hexac86f77f4

46312421364 has 108 divisors (see below), whose sum is σ = 128961047488. Its totient is φ = 14003146080.

The previous prime is 46312421347. The next prime is 46312421429.

46312421364 is a `hidden beast` number, since 4 + 631 + 2 + 4 + 2 + 13 + 6 + 4 = 666.

46312421364 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2005347 + ... + 2028309.

Almost surely, 246312421364 is an apocalyptic number.

46312421364 is a gapful number since it is divisible by the number (44) 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 46312421364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64480523744).

46312421364 is an abundant number, since it is smaller than the sum of its proper divisors (82648626124).

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

46312421364 is a wasteful number, since it uses less digits than its factorization.

46312421364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23458 (or 23442 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The spelling of 46312421364 in words is "forty-six billion, three hundred twelve million, four hundred twenty-one thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 121 132 198 242 363 396 463 484 726 926 1089 1389 1452 1852 2178 2778 4167 4356 5093 5556 8334 10186 15279 16668 20372 22963 30558 45837 45926 56023 61116 68889 91674 91852 112046 137778 168069 183348 206667 224092 252593 275556 336138 413334 504207 505186 672276 757779 826668 1008414 1010372 1515558 2016828 2273337 2778523 3031116 4546674 5557046 8335569 9093348 10631869 11114092 16671138 21263738 25006707 31895607 33342276 42527476 50013414 63791214 95686821 100026828 116950559 127582428 191373642 233901118 350851677 382747284 467802236 701703354 1052555031 1286456149 1403406708 2105110062 2572912298 3859368447 4210220124 5145824596 7718736894 11578105341 15437473788 23156210682 46312421364