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68820180720 = 24352971139267
BaseRepresentation
bin100000000011000000…
…0001001111011110000
320120122012022102002020
41000012000021323300
52111420431240340
651340543151440
74654266612204
oct1000600117360
9216565272066
1068820180720
112720621a415
12114078a5580
136649b9a935
14348c05ab04
151bcbc5e9d0
hex1006009ef0

68820180720 has 160 divisors (see below), whose sum is σ = 223809246720. Its totient is φ = 17469527040.

The previous prime is 68820180701. The next prime is 68820180769. The reversal of 68820180720 is 2708102886.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 424527 + ... + 563793.

It is an arithmetic number, because the mean of its divisors is an integer number (1398807792).

Almost surely, 268820180720 is an apocalyptic number.

68820180720 is a gapful number since it is divisible by the number (60) 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 68820180720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111904623360).

68820180720 is an abundant number, since it is smaller than the sum of its proper divisors (154989066000).

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

68820180720 is a wasteful number, since it uses less digits than its factorization.

68820180720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139383 (or 139377 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 42.

The spelling of 68820180720 in words is "sixty-eight billion, eight hundred twenty million, one hundred eighty thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 29 30 40 48 58 60 71 80 87 116 120 142 145 174 213 232 240 284 290 348 355 426 435 464 568 580 696 710 852 870 1065 1136 1160 1392 1420 1704 1740 2059 2130 2320 2840 3408 3480 4118 4260 5680 6177 6960 8236 8520 10295 12354 16472 17040 20590 24708 30885 32944 41180 49416 61770 82360 98832 123540 139267 164720 247080 278534 417801 494160 557068 696335 835602 1114136 1392670 1671204 2089005 2228272 2785340 3342408 4038743 4178010 5570680 6684816 8077486 8356020 9887957 11141360 12116229 16154972 16712040 19775914 20193715 24232458 29663871 32309944 33424080 39551828 40387430 48464916 49439785 59327742 60581145 64619888 79103656 80774860 96929832 98879570 118655484 121162290 148319355 158207312 161549720 193859664 197759140 237310968 242324580 286750753 296638710 323099440 395518280 474621936 484649160 573501506 593277420 791036560 860252259 969298320 1147003012 1186554840 1433753765 1720504518 2294006024 2373109680 2867507530 3441009036 4301261295 4588012048 5735015060 6882018072 8602522590 11470030120 13764036144 17205045180 22940060240 34410090360 68820180720