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48634266243684 = 223117129091783883
BaseRepresentation
bin10110000111011100011000…
…01010011101001001100100
320101012101112122011000011110
423003232030022131021210
522333310434124244214
6251234135023105020
713146465312141132
oct1303561412351144
9211171478130143
1048634266243684
1114550749446960
125555791442170
13211a265011a54
14c01ca7ca4752
1559514ee41159
hex2c3b8c29d264

48634266243684 has 96 divisors (see below), whose sum is σ = 125583150228480. Its totient is φ = 14525080796800.

The previous prime is 48634266243683. The next prime is 48634266243691.

It is a happy number.

48634266243684 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×486342662436842 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is not an unprimeable number, because it can be changed into a prime (48634266243683) 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, 26371207 + ... + 28155089.

It is an arithmetic number, because the mean of its divisors is an integer number (1308157814880).

Almost surely, 248634266243684 is an apocalyptic number.

48634266243684 is a gapful number since it is divisible by the number (44) 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 48634266243684, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62791575114240).

48634266243684 is an abundant number, since it is smaller than the sum of its proper divisors (76948883984796).

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

48634266243684 is a wasteful number, since it uses less digits than its factorization.

48634266243684 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1786881 (or 1786879 counting only the distinct ones).

The product of its digits is 764411904, while the sum is 66.

The spelling of 48634266243684 in words is "forty-eight trillion, six hundred thirty-four billion, two hundred sixty-six million, two hundred forty-three thousand, six hundred eighty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 71 132 142 213 284 426 781 852 1562 2343 2909 3124 4686 5818 8727 9372 11636 17454 31999 34908 63998 95997 127996 191994 206539 383988 413078 619617 826156 1239234 1783883 2271929 2478468 3567766 4543858 5351649 6815787 7135532 9087716 10703298 13631574 19622713 21406596 27263148 39245426 58868139 78490852 117736278 126655693 235472556 253311386 379967079 506622772 759934158 1393212623 1519868316 2786425246 4179637869 5189315647 5572850492 8359275738 10378631294 15567946941 16718551476 20757262588 31135893882 57082472117 62271787764 114164944234 171247416351 228329888468 342494832702 368441410937 684989665404 736882821874 1105324232811 1473765643748 2210648465622 4052855520307 4421296931244 8105711040614 12158566560921 16211422081228 24317133121842 48634266243684