Search a number
-
+
120061470384 = 24325931145439
BaseRepresentation
bin110111111010000111…
…0001010011010110000
3102110220021211122000100
41233310032022122300
53431341214023014
6131053325552400
711450143442232
oct1576416123260
9373807748010
10120061470384
1146a1062a799
121b328415700
13b424b5a68b
145b4d588252
1531ca599009
hex1bf438a6b0

120061470384 has 120 divisors (see below), whose sum is σ = 342806630400. Its totient is φ = 39214811520.

The previous prime is 120061470379. The next prime is 120061470391. The reversal of 120061470384 is 483074160021.

120061470384 is a `hidden beast` number, since 1 + 2 + 0 + 0 + 614 + 7 + 0 + 38 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 23 ways as a sum of consecutive naturals, for example, 2619537 + ... + 2664975.

It is an arithmetic number, because the mean of its divisors is an integer number (2856721920).

Almost surely, 2120061470384 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 120061470384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171403315200).

120061470384 is an abundant number, since it is smaller than the sum of its proper divisors (222745160016).

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

120061470384 is a wasteful number, since it uses less digits than its factorization.

120061470384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45823 (or 45814 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 120061470384 in words is "one hundred twenty billion, sixty-one million, four hundred seventy thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 59 72 118 144 177 236 311 354 472 531 622 708 933 944 1062 1244 1416 1866 2124 2488 2799 2832 3732 4248 4976 5598 7464 8496 11196 14928 18349 22392 36698 44784 45439 55047 73396 90878 110094 136317 146792 165141 181756 220188 272634 293584 330282 363512 408951 440376 545268 660564 727024 817902 880752 1090536 1321128 1635804 2181072 2642256 2680901 3271608 5361802 6543216 8042703 10723604 14131529 16085406 21447208 24128109 28263058 32170812 42394587 42894416 48256218 56526116 64341624 84789174 96512436 113052232 127183761 128683248 169578348 193024872 226104464 254367522 339156696 386049744 508735044 678313392 833760211 1017470088 1667520422 2034940176 2501280633 3335040844 5002561266 6670081688 7503841899 10005122532 13340163376 15007683798 20010245064 30015367596 40020490128 60030735192 120061470384