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45631522611246 = 23111328951457049
BaseRepresentation
bin10100110000000011010101…
…01100100010000000101110
312222120022221021020202120010
422120001222230202000232
521440111324242024441
6241014455422034050
712416524445323455
oct1230015254420056
9188508837222503
1045631522611246
11135a32469a2560
12514b840718926
131c60059c5c400
14b3a81285bb9c
15541ea98e9116
hex29806ab2202e

45631522611246 has 96 divisors (see below), whose sum is σ = 107819513683200. Its totient is φ = 12762608352000.

The previous prime is 45631522611193. The next prime is 45631522611331. The reversal of 45631522611246 is 64211622513654.

It is a junction number, because it is equal to n+sod(n) for n = 45631522611195 and 45631522611204.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 99610930 + ... + 100067978.

It is an arithmetic number, because the mean of its divisors is an integer number (1123119934200).

Almost surely, 245631522611246 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45631522611246, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53909756841600).

45631522611246 is an abundant number, since it is smaller than the sum of its proper divisors (62187991071954).

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

45631522611246 is a wasteful number, since it uses less digits than its factorization.

45631522611246 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466042 (or 466029 counting only the distinct ones).

The product of its digits is 2073600, while the sum is 48.

The spelling of 45631522611246 in words is "forty-five trillion, six hundred thirty-one billion, five hundred twenty-two million, six hundred eleven thousand, two hundred forty-six".

Divisors: 1 2 3 6 11 13 22 26 33 39 66 78 143 169 286 338 429 507 858 1014 1859 3718 5577 8951 11154 17902 26853 53706 98461 116363 196922 232726 295383 349089 457049 590766 698178 914098 1279993 1371147 1512719 2559986 2742294 3025438 3839979 4538157 5027539 5941637 7679958 9076314 10055078 11883274 15082617 16639909 17824911 30165234 33279818 35649822 49919727 65358007 77241281 99839454 130716014 154482562 196074021 231723843 392148042 463447686 849654091 1699308182 2548962273 4091045599 5097924546 8182091198 12273136797 24546273594 45001501589 53183592787 90003003178 106367185574 135004504767 159550778361 270009009534 319101556722 585019520657 691386706231 1170039041314 1382773412462 1755058561971 2074160118693 3510117123942 4148320237386 7605253768541 15210507537082 22815761305623 45631522611246