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120956428554 = 231341281913417
BaseRepresentation
bin111000010100110010…
…0001010000100001010
3102120012122212012211020
41300221210022010022
53440204321203204
6131322220013310
711511261451563
oct1605144120412
9376178765736
10120956428554
114732a829045
121b538091236
13b5383aa220
145bd639116a
15322de2bbd9
hex1c2990a10a

120956428554 has 64 divisors (see below), whose sum is σ = 266990290560. Its totient is φ = 36294036480.

The previous prime is 120956428429. The next prime is 120956428559. The reversal of 120956428554 is 455824659021.

It is a junction number, because it is equal to n+sod(n) for n = 120956428497 and 120956428506.

It is not an unprimeable number, because it can be changed into a prime (120956428559) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9008454 + ... + 9021870.

It is an arithmetic number, because the mean of its divisors is an integer number (4171723290).

Almost surely, 2120956428554 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120956428554, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133495145280).

120956428554 is an abundant number, since it is smaller than the sum of its proper divisors (146033862006).

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

120956428554 is a wasteful number, since it uses less digits than its factorization.

120956428554 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16295.

The product of its (nonzero) digits is 3456000, while the sum is 51.

The spelling of 120956428554 in words is "one hundred twenty billion, nine hundred fifty-six million, four hundred twenty-eight thousand, five hundred fifty-four".

Divisors: 1 2 3 6 13 26 39 41 78 82 123 246 533 1066 1599 2819 3198 5638 8457 13417 16914 26834 36647 40251 73294 80502 109941 115579 174421 219882 231158 346737 348842 523263 550097 693474 1046526 1100194 1502527 1650291 3005054 3300582 4507581 7151261 9015162 14302522 21453783 37822523 42907566 75645046 113467569 226935138 491692799 983385598 1475078397 1550723443 2950156794 3101446886 4652170329 9304340658 20159404759 40318809518 60478214277 120956428554