Search a number
-
+
2032152014320 = 245592711588711
BaseRepresentation
bin11101100100100101101…
…100101110110111110000
321012021100011112102000021
4131210211230232313300
5231243321403424240
64153320250133224
7266550423055111
oct35444554566760
97167304472007
102032152014320
1171391591a04a
12289a17721214
1311982872950c
14704dca44208
1537cda9e554a
hex1d925b2edf0

2032152014320 has 80 divisors (see below), whose sum is σ = 4822567050240. Its totient is φ = 796134355200.

The previous prime is 2032152014303. The next prime is 2032152014323. The reversal of 2032152014320 is 234102512302.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2032152014323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 484765 + ... + 2073475.

It is an arithmetic number, because the mean of its divisors is an integer number (60282088128).

Almost surely, 22032152014320 is an apocalyptic number.

2032152014320 is a gapful number since it is divisible by the number (20) 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 2032152014320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2411283525120).

2032152014320 is an abundant number, since it is smaller than the sum of its proper divisors (2790415035920).

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

2032152014320 is a wasteful number, since it uses less digits than its factorization.

2032152014320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1589054 (or 1589048 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

Adding to 2032152014320 its reverse (234102512302), we get a palindrome (2266254526622).

The spelling of 2032152014320 in words is "two trillion, thirty-two billion, one hundred fifty-two million, fourteen thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 59 80 118 236 271 295 472 542 590 944 1084 1180 1355 2168 2360 2710 4336 4720 5420 10840 15989 21680 31978 63956 79945 127912 159890 255824 319780 639560 1279120 1588711 3177422 6354844 7943555 12709688 15887110 25419376 31774220 63548440 93733949 127096880 187467898 374935796 430540681 468669745 749871592 861081362 937339490 1499743184 1722162724 1874678980 2152703405 3444325448 3749357960 4305406810 6888650896 7498715920 8610813620 17221627240 25401900179 34443254480 50803800358 101607600716 127009500895 203215201432 254019001790 406430402864 508038003580 1016076007160 2032152014320