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46805381448 = 233722911032
BaseRepresentation
bin101011100101110100…
…010111000101001000
311110210221120201211020
4223211310113011020
51231324134201243
633300241432440
73244611115020
oct534564270510
9143727521736
1046805381448
1118939465931
1290a303b720
13454bc667a7
1423a0346a80
15133e1ab283
hexae5d17148

46805381448 has 96 divisors (see below), whose sum is σ = 134435515200. Its totient is φ = 13302497664.

The previous prime is 46805381443. The next prime is 46805381453. The reversal of 46805381448 is 84418350864.

It is an interprime number because it is at equal distance from previous prime (46805381443) and next prime (46805381453).

It is a self number, because there is not a number n which added to its sum of digits gives 46805381448.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46805381443) 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, 42434065 + ... + 42435167.

It is an arithmetic number, because the mean of its divisors is an integer number (1400369950).

Almost surely, 246805381448 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 46805381448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67217757600).

46805381448 is an abundant number, since it is smaller than the sum of its proper divisors (87630133752).

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

46805381448 is a wasteful number, since it uses less digits than its factorization.

46805381448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2451 (or 1344 counting only the distinct ones).

The product of its (nonzero) digits is 2949120, while the sum is 51.

The spelling of 46805381448 in words is "forty-six billion, eight hundred five million, three hundred eighty-one thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 229 458 687 916 1103 1374 1603 1832 2206 2748 3206 3309 4412 4809 5496 6412 6618 7721 8824 9618 12824 13236 15442 19236 23163 26472 30884 38472 46326 61768 92652 185304 252587 505174 757761 1010348 1216609 1515522 1768109 2020696 2433218 3031044 3536218 3649827 4866436 5304327 6062088 7072436 7299654 8516263 9732872 10608654 14144872 14599308 17032526 21217308 25548789 29198616 34065052 42434616 51097578 68130104 102195156 204390312 278603461 557206922 835810383 1114413844 1671620766 1950224227 2228827688 3343241532 3900448454 5850672681 6686483064 7800896908 11701345362 15601793816 23402690724 46805381448