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119528611072 = 281334612
BaseRepresentation
bin110111101010001110…
…1011101110100000000
3102102112011011120110021
41233110131131310000
53424243311023242
6130524412543224
711431013300443
oct1572435356400
9372464146407
10119528611072
114676786a6a2
121b1b9a81b14
13b36b63c000
145adc8bb65a
1531988deb67
hex1bd475dd00

119528611072 has 108 divisors (see below), whose sum is σ = 259025664940. Its totient is φ = 55047383040.

The previous prime is 119528611067. The next prime is 119528611091. The reversal of 119528611072 is 270116825911.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 6 ways, for example, as 100656445696 + 18872165376 = 317264^2 + 137376^2 .

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 259280922 + ... + 259281382.

Almost surely, 2119528611072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 119528611072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129512832470).

119528611072 is an abundant number, since it is smaller than the sum of its proper divisors (139497053868).

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

119528611072 is an frugal number, since it uses more digits than its factorization.

119528611072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 977 (or 476 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 43.

The spelling of 119528611072 in words is "one hundred nineteen billion, five hundred twenty-eight million, six hundred eleven thousand, seventy-two".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 169 208 256 338 416 461 676 832 922 1352 1664 1844 2197 2704 3328 3688 4394 5408 5993 7376 8788 10816 11986 14752 17576 21632 23972 29504 35152 43264 47944 59008 70304 77909 95888 118016 140608 155818 191776 212521 281216 311636 383552 425042 562432 623272 767104 850084 1012817 1246544 1534208 1700168 2025634 2493088 2762773 3400336 4051268 4986176 5525546 6800672 8102536 9972352 11051092 13601344 16205072 19944704 22102184 27202688 32410144 35916049 44204368 54405376 64820288 71832098 88408736 129640576 143664196 176817472 259281152 287328392 353634944 466908637 574656784 707269888 933817274 1149313568 1867634548 2298627136 3735269096 4597254272 7470538192 9194508544 14941076384 29882152768 59764305536 119528611072