Search a number
-
+
46047999200 = 2552746117837
BaseRepresentation
bin101010111000101011…
…001011010011100000
311101212011102201200212
4222320223023103200
51223301241433300
633053144233252
73220053351350
oct527053132340
9141764381625
1046047999200
111858a993395
128b1146b828
13445b085b08
14232b912b60
1512e7951935
hexab8acb4e0

46047999200 has 144 divisors (see below), whose sum is σ = 128759821344. Its totient is φ = 15752755200.

The previous prime is 46047999181. The next prime is 46047999209. The reversal of 46047999200 is 299974064.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46047999209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2572682 + ... + 2590518.

It is an arithmetic number, because the mean of its divisors is an integer number (894165426).

Almost surely, 246047999200 is an apocalyptic number.

46047999200 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 46047999200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64379910672).

46047999200 is an abundant number, since it is smaller than the sum of its proper divisors (82711822144).

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

46047999200 is a wasteful number, since it uses less digits than its factorization.

46047999200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18325 (or 18312 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 50.

The spelling of 46047999200 in words is "forty-six billion, forty-seven million, nine hundred ninety-nine thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 70 80 100 112 140 160 175 200 224 280 350 400 461 560 700 800 922 1120 1400 1844 2305 2800 3227 3688 4610 5600 6454 7376 9220 11525 12908 14752 16135 17837 18440 23050 25816 32270 35674 36880 46100 51632 64540 71348 73760 80675 89185 92200 103264 124859 129080 142696 161350 178370 184400 249718 258160 285392 322700 356740 368800 445925 499436 516320 570784 624295 645400 713480 891850 998872 1248590 1290800 1426960 1783700 1997744 2497180 2581600 2853920 3121475 3567400 3995488 4994360 6242950 7134800 8222857 9988720 12485900 14269600 16445714 19977440 24971800 32891428 41114285 49943600 57559999 65782856 82228570 99887200 115119998 131565712 164457140 205571425 230239996 263131424 287799995 328914280 411142850 460479992 575599990 657828560 822285700 920959984 1151199980 1315657120 1438999975 1644571400 1841919968 2302399960 2877999950 3289142800 4604799920 5755999900 6578285600 9209599840 11511999800 23023999600 46047999200