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2452113355040 = 25537449922513
BaseRepresentation
bin100011101011101101010…
…110000111000100100000
322200102022222212221200122
4203223231112013010200
5310133412004330130
65114252455135412
7342105440420546
oct43535526070440
98612288787618
102452113355040
11865a32076148
1233729b974568
1314a305727c6b
148697bd07d96
1543bb9a702e5
hex23aed587120

2452113355040 has 96 divisors (see below), whose sum is σ = 5962945993200. Its totient is φ = 952209506304.

The previous prime is 2452113355033. The next prime is 2452113355063. The reversal of 2452113355040 is 405533112542.

It can be written as a sum of positive squares in 8 ways, for example, as 1328606633104 + 1123506721936 = 1152652^2 + 1059956^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2196824 + ... + 3119336.

Almost surely, 22452113355040 is an apocalyptic number.

2452113355040 is a gapful number since it is divisible by the number (20) 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 2452113355040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2981472996600).

2452113355040 is an abundant number, since it is smaller than the sum of its proper divisors (3510832638160).

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

2452113355040 is a wasteful number, since it uses less digits than its factorization.

2452113355040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 923014 (or 923006 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 35.

Adding to 2452113355040 its reverse (405533112542), we get a palindrome (2857646467582).

The spelling of 2452113355040 in words is "two trillion, four hundred fifty-two billion, one hundred thirteen million, three hundred fifty-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 37 40 74 80 148 160 185 296 370 449 592 740 898 1184 1480 1796 2245 2960 3592 4490 5920 7184 8980 14368 16613 17960 33226 35920 66452 71840 83065 132904 166130 265808 332260 531616 664520 922513 1329040 1845026 2658080 3690052 4612565 7380104 9225130 14760208 18450260 29520416 34132981 36900520 68265962 73801040 136531924 147602080 170664905 273063848 341329810 414208337 546127696 682659620 828416674 1092255392 1365319240 1656833348 2071041685 2730638480 3313666696 4142083370 5461276960 6627333392 8284166740 13254666784 15325708469 16568333480 30651416938 33136666960 61302833876 66273333920 76628542345 122605667752 153257084690 245211335504 306514169380 490422671008 613028338760 1226056677520 2452113355040