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82970428032 = 273447170267
BaseRepresentation
bin100110101000101101…
…1000100001010000000
321221011100111110020000
41031101123010022000
52324410412144112
6102041024120000
75665041000432
oct1152133041200
9257140443200
1082970428032
1132207709688
12140b6766000
137a9366413b
144031484652
1522591707dc
hex13516c4280

82970428032 has 160 divisors (see below), whose sum is σ = 252173718720. Its totient is φ = 27068207616.

The previous prime is 82970428003. The next prime is 82970428043. The reversal of 82970428032 is 23082407928.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 402163 + ... + 572429.

It is an arithmetic number, because the mean of its divisors is an integer number (1576085742).

Almost surely, 282970428032 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 82970428032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126086859360).

82970428032 is an abundant number, since it is smaller than the sum of its proper divisors (169203290688).

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

82970428032 is a wasteful number, since it uses less digits than its factorization.

82970428032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170340 (or 170319 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 82970428032 in words is "eighty-two billion, nine hundred seventy million, four hundred twenty-eight thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 47 48 54 64 72 81 94 96 108 128 141 144 162 188 192 216 282 288 324 376 384 423 432 564 576 648 752 846 864 1128 1152 1269 1296 1504 1692 1728 2256 2538 2592 3008 3384 3456 3807 4512 5076 5184 6016 6768 7614 9024 10152 10368 13536 15228 18048 20304 27072 30456 40608 54144 60912 81216 121824 162432 170267 243648 340534 487296 510801 681068 1021602 1362136 1532403 2043204 2724272 3064806 4086408 4597209 5448544 6129612 8002549 8172816 9194418 10897088 12259224 13791627 16005098 16345632 18388836 21794176 24007647 24518448 27583254 32010196 32691264 36777672 48015294 49036896 55166508 64020392 65382528 72022941 73555344 96030588 98073792 110333016 128040784 144045882 147110688 192061176 196147584 216068823 220666032 256081568 288091764 294221376 384122352 432137646 441332064 512163136 576183528 588442752 648206469 768244704 864275292 882664128 1024326272 1152367056 1296412938 1536489408 1728550584 1765328256 2304734112 2592825876 3072978816 3457101168 4609468224 5185651752 6914202336 9218936448 10371303504 13828404672 20742607008 27656809344 41485214016 82970428032