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46446421112 = 23713297330137
BaseRepresentation
bin101011010000011011…
…000010010001111000
311102212221010122210222
4223100123002101320
51230110240433422
633200455555212
73232662031310
oct532033022170
9142787118728
1046446421112
11187748806a3
12900298bb08
1344c2794020
1423687c6440
15131c902842
hexad06c2478

46446421112 has 128 divisors (see below), whose sum is σ = 112402684800. Its totient is φ = 17497202688.

The previous prime is 46446421111. The next prime is 46446421163. The reversal of 46446421112 is 21112464464.

It is a super-2 number, since 2×464464211122 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46446421111) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1526108 + ... + 1556244.

It is an arithmetic number, because the mean of its divisors is an integer number (878145975).

Almost surely, 246446421112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46446421112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56201342400).

46446421112 is an abundant number, since it is smaller than the sum of its proper divisors (65956263688).

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

46446421112 is a wasteful number, since it uses less digits than its factorization.

46446421112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30265 (or 30261 counting only the distinct ones).

The product of its digits is 36864, while the sum is 35.

Adding to 46446421112 its reverse (21112464464), we get a palindrome (67558885576).

The spelling of 46446421112 in words is "forty-six billion, four hundred forty-six million, four hundred twenty-one thousand, one hundred twelve".

Divisors: 1 2 4 7 8 13 14 26 28 29 52 56 58 73 91 104 116 146 182 203 232 292 364 377 406 511 584 728 754 812 949 1022 1508 1624 1898 2044 2117 2639 3016 3796 4088 4234 5278 6643 7592 8468 10556 13286 14819 16936 21112 26572 27521 29638 30137 53144 55042 59276 60274 110084 118552 120548 192647 210959 220168 241096 385294 391781 421918 770588 783562 843836 873973 1541176 1567124 1687672 1747946 2200001 2742467 3134248 3495892 4400002 5484934 6117811 6991784 8800004 10969868 11361649 12235622 15400007 17600008 21939736 22723298 24471244 28600013 30800014 45446596 48942488 57200026 61600028 63800029 79531543 90893192 114400052 123200056 127600058 159063086 200200091 228800104 255200116 318126172 400400182 446600203 510400232 636252344 800800364 829400377 893200406 1601600728 1658800754 1786400812 3317601508 3572801624 5805802639 6635203016 11611605278 23223210556 46446421112