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128657081344 = 21011210192
BaseRepresentation
bin111011111010010001…
…1110100010000000000
3110022002022222220112211
41313310203310100000
54101442203100334
6135034303431504
712203146101421
oct1676443642000
9408068886484
10128657081344
114a621628500
1220b26bb5594
13c1948c06cc
146326db5648
15352eee6a64
hex1df48f4400

128657081344 has 99 divisors (see below), whose sum is σ = 282972516631. Its totient is φ = 58423101440.

The previous prime is 128657081339. The next prime is 128657081347. The reversal of 128657081344 is 443180756821.

The square root of 128657081344 is 358688.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (128657081347) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 126257667 + ... + 126258685.

Almost surely, 2128657081344 is an apocalyptic number.

128657081344 is the 358688-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 128657081344

128657081344 is an abundant number, since it is smaller than the sum of its proper divisors (154315435287).

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

128657081344 is an frugal number, since it uses more digits than its factorization.

128657081344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2080 (or 1032 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 49.

Multiplying 128657081344 by its sum of digits (49), we get a square (6304196985856 = 25108162).

The spelling of 128657081344 in words is "one hundred twenty-eight billion, six hundred fifty-seven million, eighty-one thousand, three hundred forty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 128 176 242 256 352 484 512 704 968 1019 1024 1408 1936 2038 2816 3872 4076 5632 7744 8152 11209 11264 15488 16304 22418 30976 32608 44836 61952 65216 89672 123299 123904 130432 179344 246598 260864 358688 493196 521728 717376 986392 1038361 1043456 1434752 1972784 2076722 2869504 3945568 4153444 5739008 7891136 8306888 11421971 11478016 15782272 16613776 22843942 31564544 33227552 45687884 63129088 66455104 91375768 125641681 126258176 132910208 182751536 251283362 265820416 365503072 502566724 531640832 731006144 1005133448 1063281664 1462012288 2010266896 2924024576 4020533792 5848049152 8041067584 11696098304 16082135168 32164270336 64328540672 128657081344