Search a number
-
+
120386819568 = 24371791493001
BaseRepresentation
bin111000000011110011…
…1010001010111110000
3102111201222001002012010
41300013213101113300
53433023011211233
6131145511202520
711461204040151
oct1600747212760
9374658032163
10120386819568
1147068248414
121b3b9376440
13b4773925a2
145b80879928
1531e8e13b63
hex1c079d15f0

120386819568 has 160 divisors (see below), whose sum is σ = 321622272000. Its totient is φ = 38787840000.

The previous prime is 120386819563. The next prime is 120386819569. The reversal of 120386819568 is 865918683021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120386819561) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40114068 + ... + 40117068.

It is an arithmetic number, because the mean of its divisors is an integer number (2010139200).

Almost surely, 2120386819568 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 120386819568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160811136000).

120386819568 is an abundant number, since it is smaller than the sum of its proper divisors (201235452432).

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

120386819568 is a wasteful number, since it uses less digits than its factorization.

120386819568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3311 (or 3305 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 57.

The spelling of 120386819568 in words is "one hundred twenty billion, three hundred eighty-six million, eight hundred nineteen thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 71 79 142 149 158 213 237 284 298 316 426 447 474 568 596 632 852 894 948 1136 1192 1264 1704 1788 1896 2384 3001 3408 3576 3792 5609 6002 7152 9003 10579 11218 11771 12004 16827 18006 21158 22436 23542 24008 31737 33654 35313 36012 42316 44872 47084 48016 63474 67308 70626 72024 84632 89744 94168 126948 134616 141252 144048 169264 188336 213071 237079 253896 269232 282504 426142 447149 474158 507792 565008 639213 711237 835741 852284 894298 948316 1278426 1341447 1422474 1671482 1704568 1788596 1896632 2507223 2556852 2682894 2844948 3342964 3409136 3577192 3793264 5014446 5113704 5365788 5689896 6685928 7154384 10028892 10227408 10731576 11379792 13371856 16832609 20057784 21463152 31747579 33665218 35324771 40115568 50497827 63495158 67330436 70649542 95242737 100995654 105974313 126990316 134660872 141299084 190485474 201991308 211948626 253980632 269321744 282598168 380970948 403982616 423897252 507961264 565196336 761941896 807965232 847794504 1523883792 1695589008 2508058741 5016117482 7524176223 10032234964 15048352446 20064469928 30096704892 40128939856 60193409784 120386819568