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80245244254208 = 2111130983114967
BaseRepresentation
bin10010001111101110001101…
…010001110101100000000000
3101112010101000001011221222012
4102033232031101311200000
541004214230012113313
6442400053432032052
722621345646644115
oct2217561521654000
9345111001157865
1080245244254208
11236288a9435170
129000095b32628
1335a112b872837
1415b5c6792690c
15942569e97da8
hex48fb8d475800

80245244254208 has 96 divisors (see below), whose sum is σ = 175044960679680. Its totient is φ = 36473616506880.

The previous prime is 80245244254121. The next prime is 80245244254271.

80245244254208 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 697927541 + ... + 698042507.

It is an arithmetic number, because the mean of its divisors is an integer number (1823385007080).

Almost surely, 280245244254208 is an apocalyptic number.

80245244254208 is a gapful number since it is divisible by the number (88) 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 80245244254208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87522480339840).

80245244254208 is an abundant number, since it is smaller than the sum of its proper divisors (94799716425472).

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

80245244254208 is a wasteful number, since it uses less digits than its factorization.

80245244254208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145983 (or 145963 counting only the distinct ones).

The product of its (nonzero) digits is 6553600, while the sum is 50.

The spelling of 80245244254208 in words is "eighty trillion, two hundred forty-five billion, two hundred forty-four million, two hundred fifty-four thousand, two hundred eight".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 256 352 512 704 1024 1408 2048 2816 5632 11264 22528 30983 61966 114967 123932 229934 247864 340813 459868 495728 681626 919736 991456 1264637 1363252 1839472 1982912 2529274 2726504 3678944 3965824 5058548 5453008 7357888 7931648 10117096 10906016 14715776 15863296 20234192 21812032 29431552 31726592 40468384 43624064 58863104 63453184 80936768 87248128 117726208 161873536 174496256 235452416 323747072 348992512 647494144 697985024 1294988288 2589976576 3562022561 7124045122 14248090244 28496180488 39182248171 56992360976 78364496342 113984721952 156728992684 227969443904 313457985368 455938887808 626915970736 911877775616 1253831941472 1823755551232 2507663882944 3647511102464 5015327765888 7295022204928 10030655531776 20061311063552 40122622127104 80245244254208