Search a number
-
+
120052053536 = 2529733176489
BaseRepresentation
bin110111111001110101…
…0001111011000100000
3102110212122010012112012
41233303222033120200
53431331311203121
6131052352052052
711450000421662
oct1576352173040
9373778105465
10120052053536
1146a06288778
121b325234028
13b422c1138c
145b4c216532
1531c9838c5b
hex1bf3a8f620

120052053536 has 48 divisors (see below), whose sum is σ = 244837517400. Its totient is φ = 57876768768.

The previous prime is 120052053533. The next prime is 120052053577. The reversal of 120052053536 is 635350250021.

It can be written as a sum of positive squares in 4 ways, for example, as 115902117136 + 4149936400 = 340444^2 + 64420^2 .

It is a super-2 number, since 2×1200520535362 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (120052053533) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 591980 + ... + 768468.

Almost surely, 2120052053536 is an apocalyptic number.

120052053536 is a gapful number since it is divisible by the number (16) 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 120052053536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122418758700).

120052053536 is an abundant number, since it is smaller than the sum of its proper divisors (124785463864).

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

120052053536 is a wasteful number, since it uses less digits than its factorization.

120052053536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177261 (or 177253 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 32.

The spelling of 120052053536 in words is "one hundred twenty billion, fifty-two million, fifty-three thousand, five hundred thirty-six".

Divisors: 1 2 4 8 16 29 32 58 116 232 464 733 928 1466 2932 5864 11728 21257 23456 42514 85028 170056 176489 340112 352978 680224 705956 1411912 2823824 5118181 5647648 10236362 20472724 40945448 81890896 129366437 163781792 258732874 517465748 1034931496 2069862992 3751626673 4139725984 7503253346 15006506692 30013013384 60026026768 120052053536