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4122576896 = 21129411693
BaseRepresentation
bin1111010110111001…
…1000100000000000
3101122022100121100012
43311232120200000
531420334430041
61521025044052
7204106216424
oct36556304000
911568317305
104122576896
1118260a6049
12970786628
1350913b519
142b1740b84
15191dd93eb
hexf5b98800

4122576896 has 96 divisors (see below), whose sum is σ = 8740531800. Its totient is φ = 1940520960.

The previous prime is 4122576877. The next prime is 4122576907. The reversal of 4122576896 is 6986752214.

It can be written as a sum of positive squares in 4 ways, for example, as 2319385600 + 1803191296 = 48160^2 + 42464^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2434226 + ... + 2435918.

Almost surely, 24122576896 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 4122576896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4370265900).

4122576896 is an abundant number, since it is smaller than the sum of its proper divisors (4617954904).

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

4122576896 is a wasteful number, since it uses less digits than its factorization.

4122576896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1785 (or 1765 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 50.

The square root of 4122576896 is about 64207.2962832107. The cubic root of 4122576896 is about 1603.4530756401.

The spelling of 4122576896 in words is "four billion, one hundred twenty-two million, five hundred seventy-six thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 16 29 32 41 58 64 82 116 128 164 232 256 328 464 512 656 928 1024 1189 1312 1693 1856 2048 2378 2624 3386 3712 4756 5248 6772 7424 9512 10496 13544 14848 19024 20992 27088 29696 38048 41984 49097 54176 59392 69413 76096 83968 98194 108352 138826 152192 196388 216704 277652 304384 392776 433408 555304 608768 785552 866816 1110608 1217536 1571104 1733632 2012977 2221216 2435072 3142208 3467264 4025954 4442432 6284416 8051908 8884864 12568832 16103816 17769728 25137664 32207632 35539456 50275328 64415264 71078912 100550656 128830528 142157824 257661056 515322112 1030644224 2061288448 4122576896