Search a number
-
+
185470829040 = 2435732253047
BaseRepresentation
bin1010110010111011101…
…1000100000111110000
3122201201210002022211110
42230232323010013300
511014321013012130
6221112031313320
716254066015000
oct2545673040760
9581653068743
10185470829040
11717264a1aa2
122bb4197b840
131464a1b36b3
148d9661c000
154c57b64ab0
hex2b2eec41f0

185470829040 has 160 divisors (see below), whose sum is σ = 670507084800. Its totient is φ = 42393313536.

The previous prime is 185470829023. The next prime is 185470829059. The reversal of 185470829040 is 40928074581.

It is a happy number.

185470829040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1044204 + ... + 1208843.

It is an arithmetic number, because the mean of its divisors is an integer number (4190669280).

Almost surely, 2185470829040 is an apocalyptic number.

185470829040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

185470829040 is an abundant number, since it is smaller than the sum of its proper divisors (485036255760).

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

185470829040 is a wasteful number, since it uses less digits than its factorization.

185470829040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2253084 (or 2253064 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 48.

The spelling of 185470829040 in words is "one hundred eighty-five billion, four hundred seventy million, eight hundred twenty-nine thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 49 56 60 70 80 84 98 105 112 120 140 147 168 196 210 240 245 280 294 336 343 392 420 490 560 588 686 735 784 840 980 1029 1176 1372 1470 1680 1715 1960 2058 2352 2744 2940 3430 3920 4116 5145 5488 5880 6860 8232 10290 11760 13720 16464 20580 27440 41160 82320 2253047 4506094 6759141 9012188 11265235 13518282 15771329 18024376 22530470 27036564 31542658 33795705 36048752 45060940 47313987 54073128 63085316 67591410 78856645 90121880 94627974 108146256 110399303 126170632 135182820 157713290 180243760 189255948 220798606 236569935 252341264 270365640 315426580 331197909 378511896 441597212 473139870 540731280 551996515 630853160 662395818 757023792 772795121 883194424 946279740 1103993030 1261706320 1324791636 1545590242 1655989545 1766388848 1892559480 2207986060 2318385363 2649583272 3091180484 3311979090 3785118960 3863975605 4415972120 4636770726 5299166544 6182360968 6623958180 7727951210 8831944240 9273541452 11591926815 12364721936 13247916360 15455902420 18547082904 23183853630 26495832720 30911804840 37094165808 46367707260 61823609680 92735414520 185470829040