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80141347464 = 233191272296043
BaseRepresentation
bin100101010100011001…
…0111110101010001000
321122212012002021021020
41022220302332222020
52303112141104324
6100452203112440
75534656133223
oct1125062765210
9248765067236
1080141347464
1130a95779572
1213647212720
1377324c4579
143c438505ba
152140ade679
hex12a8cbea88

80141347464 has 128 divisors (see below), whose sum is σ = 213522432000. Its totient is φ = 24994738944.

The previous prime is 80141347439. The next prime is 80141347471. The reversal of 80141347464 is 46474314108.

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 31 ways as a sum of consecutive naturals, for example, 13258827 + ... + 13264869.

It is an arithmetic number, because the mean of its divisors is an integer number (1668144000).

Almost surely, 280141347464 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 80141347464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106761216000).

80141347464 is an abundant number, since it is smaller than the sum of its proper divisors (133381084536).

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

80141347464 is a wasteful number, since it uses less digits than its factorization.

80141347464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6427 (or 6423 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 42.

The spelling of 80141347464 in words is "eighty billion, one hundred forty-one million, three hundred forty-seven thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 127 152 228 229 254 381 456 458 508 687 762 916 1016 1374 1524 1832 2413 2748 3048 4351 4826 5496 6043 7239 8702 9652 12086 13053 14478 17404 18129 19304 24172 26106 28956 29083 34808 36258 48344 52212 57912 58166 72516 87249 104424 114817 116332 145032 174498 229634 232664 344451 348996 459268 552577 688902 697992 767461 918536 1105154 1377804 1383847 1534922 1657731 2210308 2302383 2755608 2767694 3069844 3315462 4151541 4420616 4604766 5535388 6139688 6630924 8303082 9209532 11070776 13261848 14581759 16606164 18419064 26293093 29163518 33212328 43745277 52586186 58327036 78879279 87490554 105172372 116654072 157758558 174981108 175748569 210344744 315517116 349962216 351497138 527245707 631034232 702994276 1054491414 1405988552 2108982828 3339222811 4217965656 6678445622 10017668433 13356891244 20035336866 26713782488 40070673732 80141347464