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2124603551456 = 25416742715659
BaseRepresentation
bin11110111010101100001…
…111010110111011100000
321112002222021102002212022
4132322230033112323200
5234302142002121311
64304010203321012
7306332441134211
oct36725417267340
97462867362768
102124603551456
1174a048353291
122a3919520168
13125470410389
1474b8d379408
153a3ec1c85db
hex1eeac3d6ee0

2124603551456 has 96 divisors (see below), whose sum is σ = 4350572674560. Its totient is φ = 1020504038400.

The previous prime is 2124603551453. The next prime is 2124603551461. The reversal of 2124603551456 is 6541553064212.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2124603551453) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 375435155 + ... + 375440813.

It is an arithmetic number, because the mean of its divisors is an integer number (45318465360).

Almost surely, 22124603551456 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 2124603551456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2175286337280).

2124603551456 is an abundant number, since it is smaller than the sum of its proper divisors (2225969123104).

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

2124603551456 is a wasteful number, since it uses less digits than its factorization.

2124603551456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10048 (or 10040 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 44.

The spelling of 2124603551456 in words is "two trillion, one hundred twenty-four billion, six hundred three million, five hundred fifty-one thousand, four hundred fifty-six".

Divisors: 1 2 4 8 16 32 41 67 82 134 164 268 328 536 656 1072 1312 2144 2747 4271 5494 5659 8542 10988 11318 17084 21976 22636 34168 43952 45272 68336 87904 90544 136672 175111 181088 232019 286157 350222 379153 464038 572314 700444 758306 928076 1144628 1400888 1516612 1856152 2289256 2801776 3033224 3712304 4578512 5603552 6066448 7424608 9157024 11732437 12132896 15545273 23464874 24169589 31090546 46929748 48339178 62181092 93859496 96678356 124362184 187718992 193356712 248724368 375437984 386713424 497448736 773426848 990953149 1619362463 1981906298 3238724926 3963812596 6477449852 7927625192 12954899704 15855250384 25909799408 31710500768 51819598816 66393860983 132787721966 265575443932 531150887864 1062301775728 2124603551456