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80665444456608 = 25311169944960407
BaseRepresentation
bin10010010101110101100011…
…001010011001100010100000
3101120121112121111222221021110
4102111311203022121202200
541033110312240102413
6443321105452423320
722663612624511364
oct2225654312314240
9346545544887243
1080665444456608
11237800284a7610
129069606177b40
1336019461b3c5b
1415cc32a8072a4
1594d45eea68c3
hex495d632998a0

80665444456608 has 96 divisors (see below), whose sum is σ = 231132465446400. Its totient is φ = 24429686204160.

The previous prime is 80665444456577. The next prime is 80665444456633.

It is a happy number.

80665444456608 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×806654444566082 (a number of 29 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (66) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20686060 + ... + 24274347.

It is an arithmetic number, because the mean of its divisors is an integer number (2407629848400).

Almost surely, 280665444456608 is an apocalyptic number.

80665444456608 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

80665444456608 is an abundant number, since it is smaller than the sum of its proper divisors (150467020989792).

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

80665444456608 is a wasteful number, since it uses less digits than its factorization.

80665444456608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44962130 (or 44962122 counting only the distinct ones).

The product of its (nonzero) digits is 530841600, while the sum is 66.

The spelling of 80665444456608 in words is "eighty trillion, six hundred sixty-five billion, four hundred forty-four million, four hundred fifty-six thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 1699 3398 5097 6796 10194 13592 18689 20388 27184 37378 40776 54368 56067 74756 81552 112134 149512 163104 224268 299024 448536 598048 897072 1794144 44960407 89920814 134881221 179841628 269762442 359683256 494564477 539524884 719366512 989128954 1079049768 1438733024 1483693431 1978257908 2158099536 2967386862 3956515816 4316199072 5934773724 7913031632 11869547448 15826063264 23739094896 47478189792 76387731493 152775462986 229163194479 305550925972 458326388958 611101851944 840265046423 916652777916 1222203703888 1680530092846 1833305555832 2444407407776 2520795139269 3361060185692 3666611111664 5041590278538 6722120371384 7333222223328 10083180557076 13444240742768 20166361114152 26888481485536 40332722228304 80665444456608