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128146158267556 = 22112132395812
BaseRepresentation
bin11101001000110001011010…
…001111100010110010100100
3121210201122122002201201111111
4131020301122033202302210
5113244021313004030211
61132313310555514404
735664153156033502
oct3510613217426244
9553648562651444
10128146158267556
1137916531640100
1212457701158a04
1356671916b3900
142390442b87672
15ec3597c89421
hex748c5a3e2ca4

128146158267556 has 81 divisors (see below), whose sum is σ = 266922551598339. Its totient is φ = 53766260433600.

The previous prime is 128146158267553. The next prime is 128146158267563. The reversal of 128146158267556 is 655762851641821.

The square root of 128146158267556 is 11320166.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 5432582024100 + 122713576243456 = 2330790^2 + 11077616^2 .

It is a junction number, because it is equal to n+sod(n) for n = 128146158267491 and 128146158267500.

It is not an unprimeable number, because it can be changed into a prime (128146158267553) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3237547686 + ... + 3237587266.

Almost surely, 2128146158267556 is an apocalyptic number.

128146158267556 is the 11320166-th square number.

It is an amenable number.

128146158267556 is an abundant number, since it is smaller than the sum of its proper divisors (138776393330783).

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

128146158267556 is an frugal number, since it uses more digits than its factorization.

128146158267556 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79214 (or 39607 counting only the distinct ones).

The product of its digits is 193536000, while the sum is 67.

The spelling of 128146158267556 in words is "one hundred twenty-eight trillion, one hundred forty-six billion, one hundred fifty-eight million, two hundred sixty-seven thousand, five hundred fifty-six".

Divisors: 1 2 4 11 13 22 26 44 52 121 143 169 242 286 338 484 572 676 1573 1859 3146 3718 6292 7436 20449 39581 40898 79162 81796 158324 435391 514553 870782 1029106 1741564 2058212 4789301 5660083 6689189 9578602 11320166 13378378 19157204 22640332 26756756 62260913 73581079 124521826 147162158 249043652 294324316 809391869 1566655561 1618783738 3133311122 3237567476 6266622244 17233211171 20366522293 34466422342 40733044586 68932844684 81466089172 189565322881 224031745223 264764789809 379130645762 448063490446 529529579618 758261291524 896126980892 1059059159236 2464349197453 2912412687899 4928698394906 5824825375798 9857396789812 11649650751596 32036539566889 64073079133778 128146158267556