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80441241680 = 24529611314339
BaseRepresentation
bin100101011101010101…
…0111111000001010000
321200122002101110210102
41022322222333001100
52304220424213210
6100542034551532
75545260162332
oct1127252770120
9250562343712
1080441241680
1131129a90528
121370b7385a8
13777c686177
143c715d7452
15215c0cbea5
hex12baabf050

80441241680 has 160 divisors (see below), whose sum is σ = 198193564800. Its totient is φ = 30317414400.

The previous prime is 80441241677. The next prime is 80441241689. The reversal of 80441241680 is 8614214408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80441241689) 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, 18536951 + ... + 18541289.

It is an arithmetic number, because the mean of its divisors is an integer number (1238709780).

Almost surely, 280441241680 is an apocalyptic number.

80441241680 is a gapful number since it is divisible by the number (80) 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 80441241680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99096782400).

80441241680 is an abundant number, since it is smaller than the sum of its proper divisors (117752323120).

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

80441241680 is a wasteful number, since it uses less digits than its factorization.

80441241680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4573 (or 4567 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 38.

The spelling of 80441241680 in words is "eighty billion, four hundred forty-one million, two hundred forty-one thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 29 40 58 61 80 116 122 131 145 232 244 262 290 305 464 488 524 580 610 655 976 1048 1160 1220 1310 1769 2096 2320 2440 2620 3538 3799 4339 4880 5240 7076 7598 7991 8678 8845 10480 14152 15196 15982 17356 17690 18995 21695 28304 30392 31964 34712 35380 37990 39955 43390 60784 63928 69424 70760 75980 79910 86780 125831 127856 141520 151960 159820 173560 231739 251662 264679 303920 319640 347120 463478 503324 529358 568409 629155 639280 926956 1006648 1058716 1136818 1158695 1258310 1323395 1853912 2013296 2117432 2273636 2317390 2516620 2646790 2842045 3707824 4234864 4547272 4634780 5033240 5293580 5684090 7675691 9094544 9269560 10066480 10587160 11368180 15351382 16483861 18539120 21174320 22736360 30702764 32967722 34672949 38378455 45472720 61405528 65935444 69345898 76756910 82419305 122811056 131870888 138691796 153513820 164838610 173364745 263741776 277383592 307027640 329677220 346729490 554767184 614055280 659354440 693458980 1005515521 1318708880 1386917960 2011031042 2773835920 4022062084 5027577605 8044124168 10055155210 16088248336 20110310420 40220620840 80441241680