Search a number
-
+
120953189376 = 2103238334267
BaseRepresentation
bin111000010100101011…
…1110011010000000000
3102120012102202122111200
41300221113303100000
53440203004030001
6131322022341200
711511222101115
oct1605127632000
9376172678450
10120953189376
1147328a16438
121b536b8a800
13b537814a56
145bd5b8a90c
15322d9dc086
hex1c295f3400

120953189376 has 132 divisors (see below), whose sum is σ = 350171807232. Its totient is φ = 40211288064.

The previous prime is 120953189369. The next prime is 120953189387. The reversal of 120953189376 is 673981359021.

120953189376 is a `hidden beast` number, since 1 + 2 + 0 + 95 + 3 + 189 + 376 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3512595 + ... + 3546861.

Almost surely, 2120953189376 is an apocalyptic number.

120953189376 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 120953189376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175085903616).

120953189376 is an abundant number, since it is smaller than the sum of its proper divisors (229218617856).

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

120953189376 is a wasteful number, since it uses less digits than its factorization.

120953189376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34676 (or 34655 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

The spelling of 120953189376 in words is "one hundred twenty billion, nine hundred fifty-three million, one hundred eighty-nine thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 383 384 512 576 766 768 1024 1149 1152 1532 1536 2298 2304 3064 3072 3447 4596 4608 6128 6894 9192 9216 12256 13788 18384 24512 27576 34267 36768 49024 55152 68534 73536 98048 102801 110304 137068 147072 196096 205602 220608 274136 294144 308403 392192 411204 441216 548272 588288 616806 822408 882432 1096544 1176576 1233612 1644816 1764864 2193088 2467224 3289632 3529728 4386176 4934448 6579264 8772352 9868896 13124261 13158528 17544704 19737792 26248522 26317056 35089408 39372783 39475584 52497044 52634112 78745566 78951168 104994088 105268224 118118349 157491132 157902336 209988176 236236698 314982264 315804672 419976352 472473396 629964528 839952704 944946792 1259929056 1679905408 1889893584 2519858112 3359810816 3779787168 5039716224 6719621632 7559574336 10079432448 13439243264 15119148672 20158864896 30238297344 40317729792 60476594688 120953189376