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46730442066 = 23711297347779
BaseRepresentation
bin101011100001010110…
…011111010101010010
311110121201120102022120
4223201112133111102
51231200443121231
633245003315110
73243011126610
oct534126372522
9143551512276
1046730442066
1118900130860
129081b1ba96
134539588969
1423943da6b0
151337806d96
hexae159f552

46730442066 has 128 divisors (see below), whose sum is σ = 122194483200. Its totient is φ = 11558453760.

The previous prime is 46730442049. The next prime is 46730442079. The reversal of 46730442066 is 66024403764.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a Curzon 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 63 ways as a sum of consecutive naturals, for example, 954165 + ... + 1001943.

It is an arithmetic number, because the mean of its divisors is an integer number (954644400).

Almost surely, 246730442066 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46730442066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61097241600).

46730442066 is an abundant number, since it is smaller than the sum of its proper divisors (75464041134).

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

46730442066 is a wasteful number, since it uses less digits than its factorization.

46730442066 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47904.

The product of its (nonzero) digits is 580608, while the sum is 42.

The spelling of 46730442066 in words is "forty-six billion, seven hundred thirty million, four hundred forty-two thousand, sixty-six".

Divisors: 1 2 3 6 7 11 14 21 22 29 33 42 58 66 73 77 87 146 154 174 203 219 231 319 406 438 462 511 609 638 803 957 1022 1218 1533 1606 1914 2117 2233 2409 3066 4234 4466 4818 5621 6351 6699 11242 12702 13398 14819 16863 23287 29638 33726 44457 46574 47779 69861 88914 95558 139722 143337 163009 286674 326018 334453 489027 525569 668906 978054 1003359 1051138 1385591 1576707 2006718 2771182 3153414 3487867 3678983 4156773 6975734 7357966 8313546 9699137 10463601 11036949 15241501 19398274 20927202 22073898 24415069 29097411 30483002 38366537 45724503 48830138 58194822 73245207 76733074 91449006 101148143 106690507 115099611 146490414 202296286 213381014 230199222 268565759 303444429 320071521 537131518 606888858 640143042 708037001 805697277 1112629573 1416074002 1611394554 2124111003 2225259146 3337888719 4248222006 6675777438 7788407011 15576814022 23365221033 46730442066