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120956130064 = 24711981110007
BaseRepresentation
bin111000010100110001…
…1000001001100010000
3102120012122022001101001
41300221203001030100
53440204232130224
6131322205351344
711511256066420
oct1605143011420
9376178261331
10120956130064
114732a644860
121b537b68554
13b5383043c3
145bd6314480
15322ddbd544
hex1c298c1310

120956130064 has 80 divisors (see below), whose sum is σ = 292238724096. Its totient is φ = 47116252800.

The previous prime is 120956130023. The next prime is 120956130149. The reversal of 120956130064 is 460031659021.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 12082149 + ... + 12092155.

Almost surely, 2120956130064 is an apocalyptic number.

120956130064 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

120956130064 is an abundant number, since it is smaller than the sum of its proper divisors (171282594032).

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

120956130064 is a wasteful number, since it uses less digits than its factorization.

120956130064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19844 (or 19838 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 37.

Adding to 120956130064 its reverse (460031659021), we get a palindrome (580987789085).

The spelling of 120956130064 in words is "one hundred twenty billion, nine hundred fifty-six million, one hundred thirty thousand, sixty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 56 77 88 112 154 176 308 616 1232 9811 10007 19622 20014 39244 40028 68677 70049 78488 80056 107921 110077 137354 140098 156976 160112 215842 220154 274708 280196 431684 440308 549416 560392 755447 770539 863368 880616 1098832 1120784 1510894 1541078 1726736 1761232 3021788 3082156 6043576 6164312 12087152 12328624 98178677 196357354 392714708 687250739 785429416 1079965447 1374501478 1570858832 2159930894 2749002956 4319861788 5498005912 7559758129 8639723576 10996011824 15119516258 17279447152 30239032516 60478065032 120956130064