Search a number
-
+
58120321680 = 24325711136939
BaseRepresentation
bin110110001000001111…
…011011101010010000
312120000111122020211200
4312020033123222100
51423012300243210
642411120111200
74125163403661
oct661017335220
9176014566750
1058120321680
1122715451a03
12b320465500
1356331c02b5
142b54d99368
1517a270b0c0
hexd883dba90

58120321680 has 120 divisors (see below), whose sum is σ = 197936706240. Its totient is φ = 15280446720.

The previous prime is 58120321669. The next prime is 58120321691. The reversal of 58120321680 is 8612302185.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (58120321669) and next prime (58120321691).

It is a tau number, because it is divible by the number of its divisors (120).

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 (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 517350 + ... + 619589.

It is an arithmetic number, because the mean of its divisors is an integer number (1649472552).

Almost surely, 258120321680 is an apocalyptic number.

It is an amenable number.

58120321680 is an abundant number, since it is smaller than the sum of its proper divisors (139816384560).

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

58120321680 is a wasteful number, since it uses less digits than its factorization.

58120321680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1137029 (or 1137020 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 58120321680 in words is "fifty-eight billion, one hundred twenty million, three hundred twenty-one thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 71 72 80 90 120 142 144 180 213 240 284 355 360 426 568 639 710 720 852 1065 1136 1278 1420 1704 2130 2556 2840 3195 3408 4260 5112 5680 6390 8520 10224 12780 17040 25560 51120 1136939 2273878 3410817 4547756 5684695 6821634 9095512 10232451 11369390 13643268 17054085 18191024 20464902 22738780 27286536 34108170 40929804 45477560 51162255 54573072 68216340 80722669 81859608 90955120 102324510 136432680 161445338 163719216 204649020 242168007 272865360 322890676 403613345 409298040 484336014 645781352 726504021 807226690 818596080 968672028 1210840035 1291562704 1453008042 1614453380 1937344056 2421680070 2906016084 3228906760 3632520105 3874688112 4843360140 5812032168 6457813520 7265040210 9686720280 11624064336 14530080420 19373440560 29060160840 58120321680