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128355152472 = 23382445419
BaseRepresentation
bin111011110001010010…
…0000011001001011000
3110021022021212100000000
41313202210003021120
54100332404334342
6134544320213000
712162521536341
oct1674244031130
9407267770000
10128355152472
114a487156908
1220a61a6a160
13c147198981
1462d8c5d0c8
15351375644c
hex1de2903258

128355152472 has 72 divisors (see below), whose sum is σ = 360980673300. Its totient is φ = 42785033328.

The previous prime is 128355152417. The next prime is 128355152473. The reversal of 128355152472 is 274251553821.

128355152472 is a `hidden beast` number, since 1 + 2 + 8 + 3 + 5 + 51 + 524 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×1283551524722 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128355152473) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1170222 + ... + 1275197.

Almost surely, 2128355152472 is an apocalyptic number.

128355152472 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

128355152472 is an abundant number, since it is smaller than the sum of its proper divisors (232625520828).

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

128355152472 is an frugal number, since it uses more digits than its factorization.

128355152472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2445449 (or 2445424 counting only the distinct ones).

The product of its digits is 672000, while the sum is 45.

The spelling of 128355152472 in words is "one hundred twenty-eight billion, three hundred fifty-five million, one hundred fifty-two thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 486 648 729 972 1458 1944 2187 2916 4374 5832 6561 8748 13122 17496 26244 52488 2445419 4890838 7336257 9781676 14672514 19563352 22008771 29345028 44017542 58690056 66026313 88035084 132052626 176070168 198078939 264105252 396157878 528210504 594236817 792315756 1188473634 1584631512 1782710451 2376947268 3565420902 4753894536 5348131353 7130841804 10696262706 14261683608 16044394059 21392525412 32088788118 42785050824 64177576236 128355152472