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128039446276 = 22726124192
BaseRepresentation
bin111011100111110111…
…1101110011100000100
3110020111021210210111221
41313033233232130010
54044211044240101
6134453121410124
712151636223200
oct1671757563404
9406437723457
10128039446276
114a334a250a5
1220994199944
13c0c695bc81
1462a8d5bb00
1534e5b93aa1
hex1dcfbee704

128039446276 has 81 divisors (see below), whose sum is σ = 265628713077. Its totient is φ = 53845656480.

The previous prime is 128039446229. The next prime is 128039446321. The reversal of 128039446276 is 672644930821.

The square root of 128039446276 is 357826.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 4163604676 + 123875841600 = 64526^2 + 351960^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 305583195 + ... + 305583613.

Almost surely, 2128039446276 is an apocalyptic number.

128039446276 is the 357826-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 128039446276

128039446276 is an abundant number, since it is smaller than the sum of its proper divisors (137589266801).

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

128039446276 is an frugal number, since it uses more digits than its factorization.

128039446276 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 978 (or 489 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 52.

The spelling of 128039446276 in words is "one hundred twenty-eight billion, thirty-nine million, four hundred forty-six thousand, two hundred seventy-six".

Divisors: 1 2 4 7 14 28 49 61 98 122 196 244 419 427 838 854 1676 1708 2933 2989 3721 5866 5978 7442 11732 11956 14884 20531 25559 26047 41062 51118 52094 82124 102236 104188 175561 178913 182329 351122 357826 364658 702244 715652 729316 1228927 1252391 1559099 2457854 2504782 3118198 4915708 5009564 6236396 8602489 10709221 10913693 17204978 21418442 21827386 34409956 42836884 43654772 74964547 76395851 149929094 152791702 299858188 305583404 524751829 653262481 1049503658 1306524962 2099007316 2613049924 4572837367 9145674734 18291349468 32009861569 64019723138 128039446276