Search a number
-
+
120980957436 = 223217197681303
BaseRepresentation
bin111000010101100000…
…1101110100011111100
3102120021101000102010100
41300223001232203330
53440232111114221
6131324453441100
711512010112423
oct1605301564374
9376241012110
10120980957436
1147342661a49
121b544340190
13b5404b7b61
145bd97382ba
153231174926
hex1c2b06e8fc

120980957436 has 36 divisors (see below), whose sum is σ = 323801975952. Its totient is φ = 37954809984.

The previous prime is 120980957423. The next prime is 120980957507. The reversal of 120980957436 is 634759089021.

120980957436 is a `hidden beast` number, since 120 + 9 + 80 + 9 + 5 + 7 + 436 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

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, 98840040 + ... + 98841263.

It is an arithmetic number, because the mean of its divisors is an integer number (8994499332).

It is a 1-persistent number, because it is pandigital, but 2⋅120980957436 = 241961914872 is not.

Almost surely, 2120980957436 is an apocalyptic number.

It is an amenable number.

120980957436 is an abundant number, since it is smaller than the sum of its proper divisors (202821018516).

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

120980957436 is a wasteful number, since it uses less digits than its factorization.

120980957436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197681330 (or 197681325 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 120980957436 in words is "one hundred twenty billion, nine hundred eighty million, nine hundred fifty-seven thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 197681303 395362606 593043909 790725212 1186087818 1779131727 2372175636 3360582151 3558263454 6721164302 7116526908 10081746453 13442328604 20163492906 30245239359 40326985812 60490478718 120980957436