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128601304452 = 223319439142759
BaseRepresentation
bin111011111000100111…
…1000010110110000100
3110021221110001011001000
41313301033002312010
54101333413220302
6135024552133300
712201601023525
oct1676117026604
9407843034030
10128601304452
114a5a30a14a5
1220b10397230
13c186191a2a
14631d81684c
15352a17a31c
hex1df13c2d84

128601304452 has 96 divisors (see below), whose sum is σ = 351760640000. Its totient is φ = 40518146592.

The previous prime is 128601304451. The next prime is 128601304463. The reversal of 128601304452 is 254403106821.

It is a happy number.

128601304452 is a `hidden beast` number, since 1 + 2 + 8 + 601 + 3 + 0 + 4 + 45 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (128601304451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 829449 + ... + 972207.

Almost surely, 2128601304452 is an apocalyptic number.

128601304452 is a gapful number since it is divisible by the number (12) 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 128601304452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175880320000).

128601304452 is an abundant number, since it is smaller than the sum of its proper divisors (223159335548).

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

128601304452 is a wasteful number, since it uses less digits than its factorization.

128601304452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143230 (or 143222 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 128601304452 in words is "one hundred twenty-eight billion, six hundred one million, three hundred four thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 108 114 171 228 342 439 513 684 878 1026 1317 1756 2052 2634 3951 5268 7902 8341 11853 15804 16682 23706 25023 33364 47412 50046 75069 100092 142759 150138 225207 285518 300276 428277 450414 571036 856554 900828 1284831 1713108 2569662 2712421 3854493 5139324 5424842 7708986 8137263 10849684 15417972 16274526 24411789 32549052 48823578 62671201 73235367 97647156 125342402 146470734 188013603 250684804 292941468 376027206 564040809 752054412 1128081618 1190752819 1692122427 2256163236 2381505638 3384244854 3572258457 4763011276 6768489708 7144516914 10716775371 14289033828 21433550742 32150326113 42867101484 64300652226 128601304452