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128839032200 = 235217214932
BaseRepresentation
bin111011111111101100…
…1111001110110001000
3110022120000100222012102
41313333121321312020
54102330243012300
6135104323332532
712210515463404
oct1677731716610
9408500328172
10128839032200
114a70530290a
1220b77b21148
13c1c34c8538
14634321a104
153540e880d5
hex1dff679d88

128839032200 has 108 divisors (see below), whose sum is σ = 318421165965. Its totient is φ = 48471618560.

The previous prime is 128839032199. The next prime is 128839032233. The reversal of 128839032200 is 2230938821.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 14 ways, for example, as 38058547396 + 90780484804 = 195086^2 + 301298^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=253810.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 86294654 + ... + 86296146.

Almost surely, 2128839032200 is an apocalyptic number.

128839032200 is a gapful number since it is divisible by the number (10) 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 128839032200

128839032200 is an abundant number, since it is smaller than the sum of its proper divisors (189582133765).

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

128839032200 is an equidigital number, since it uses as much as digits as its factorization.

128839032200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3036 (or 1517 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 38.

The spelling of 128839032200 in words is "one hundred twenty-eight billion, eight hundred thirty-nine million, thirty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 136 170 200 289 340 425 578 680 850 1156 1445 1493 1700 2312 2890 2986 3400 5780 5972 7225 7465 11560 11944 14450 14930 25381 28900 29860 37325 50762 57800 59720 74650 101524 126905 149300 203048 253810 298600 431477 507620 634525 862954 1015240 1269050 1725908 2157385 2229049 2538100 3451816 4314770 4458098 5076200 8629540 8916196 10786925 11145245 17259080 17832392 21573850 22290490 37893833 43147700 44580980 55726225 75787666 86295400 89161960 111452450 151575332 189469165 222904900 303150664 378938330 445809800 644195161 757876660 947345825 1288390322 1515753320 1894691650 2576780644 3220975805 3789383300 5153561288 6441951610 7578766600 12883903220 16104879025 25767806440 32209758050 64419516100 128839032200