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128020604334 = 237311572712311
BaseRepresentation
bin111011100111010011…
…1110110010110101110
3110020102222100112020020
41313032213312112232
54044141233314314
6134451205503010
712151320116340
oct1671647662656
9406388315206
10128020604334
114a325325947
1220989a11a66
13c0c2a929ac
1462a6655290
1534e41c0da9
hex1dce9f65ae

128020604334 has 128 divisors (see below), whose sum is σ = 305235492864. Its totient is φ = 35026992000.

The previous prime is 128020604293. The next prime is 128020604339. The reversal of 128020604334 is 433406020821.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 128020604295 and 128020604304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128020604339) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 55395039 + ... + 55397349.

It is an arithmetic number, because the mean of its divisors is an integer number (2384652288).

Almost surely, 2128020604334 is an apocalyptic number.

128020604334 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 128020604334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152617746432).

128020604334 is an abundant number, since it is smaller than the sum of its proper divisors (177214888530).

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

128020604334 is a wasteful number, since it uses less digits than its factorization.

128020604334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2782.

The product of its (nonzero) digits is 27648, while the sum is 33.

The spelling of 128020604334 in words is "one hundred twenty-eight billion, twenty million, six hundred four thousand, three hundred thirty-four".

Divisors: 1 2 3 6 7 14 21 31 42 62 93 157 186 217 271 314 434 471 542 651 813 942 1099 1302 1626 1897 2198 2311 3297 3794 4622 4867 5691 6594 6933 8401 9734 11382 13866 14601 16177 16802 25203 29202 32354 34069 42547 48531 50406 58807 68138 71641 85094 97062 102207 117614 127641 143282 176421 204414 214923 255282 297829 352842 362827 429846 501487 595658 626281 725654 893487 1002974 1088481 1252562 1318957 1504461 1786974 1878843 2176962 2539789 2637914 3008922 3757686 3956871 4383967 5079578 7619367 7913742 8767934 9232699 11247637 13151901 15238734 18465398 19414711 22495274 26303802 27698097 33742911 38829422 55396194 58244133 67485822 78733459 98326117 116488266 135902977 157466918 196652234 236200377 271805954 294978351 407708931 472400754 589956702 688282819 815417862 1376565638 2064848457 3048109627 4129696914 6096219254 9144328881 18288657762 21336767389 42673534778 64010302167 128020604334