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128189790450420 = 223511335715294609
BaseRepresentation
bin11101001001011010000010…
…111011000111001011110100
3121210212211020220101021012020
4131021122002323013023310
5113300230142323403140
61132345324324553140
736000256336335636
oct3511320273071364
9553784226337166
10128189790450420
1137932a91898966
12124640595527b0
13566b3261039aa
1423925c18c0a56
15ec479d58d6d0
hex749682ec72f4

128189790450420 has 96 divisors (see below), whose sum is σ = 362209268211840. Its totient is φ = 33871937003520.

The previous prime is 128189790450349. The next prime is 128189790450427. The reversal of 128189790450420 is 24054097981821.

128189790450420 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128189790450427) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21564076 + ... + 26858684.

It is an arithmetic number, because the mean of its divisors is an integer number (3773013210540).

Almost surely, 2128189790450420 is an apocalyptic number.

128189790450420 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 128189790450420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181104634105920).

128189790450420 is an abundant number, since it is smaller than the sum of its proper divisors (234019477761420).

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

128189790450420 is a wasteful number, since it uses less digits than its factorization.

128189790450420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5298305 (or 5298303 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 60.

The spelling of 128189790450420 in words is "one hundred twenty-eight trillion, one hundred eighty-nine billion, seven hundred ninety million, four hundred fifty thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 113 226 339 452 565 678 1130 1356 1695 2260 3390 3571 6780 7142 10713 14284 17855 21426 35710 42852 53565 71420 107130 214260 403523 807046 1210569 1614092 2017615 2421138 4035230 4842276 5294609 6052845 8070460 10589218 12105690 15883827 21178436 24211380 26473045 31767654 52946090 63535308 79419135 105892180 158838270 317676540 598290817 1196581634 1794872451 2393163268 2991454085 3589744902 5982908170 7179489804 8974362255 11965816340 17948724510 18907048739 35897449020 37814097478 56721146217 75628194956 94535243695 113442292434 189070487390 226884584868 283605731085 378140974780 567211462170 1134422924340 2136496507507 4272993015014 6409489522521 8545986030028 10682482537535 12818979045042 21364965075070 25637958090084 32047447612605 42729930150140 64094895225210 128189790450420