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27027316736 = 2137643733
BaseRepresentation
bin11001001010111101…
…000010000000000000
32120202120122221112222
4121022331002000000
5420322443113421
620225521110212
71644522254540
oct311275020000
976676587488
1027027316736
111050a241102
1252a3488368
132719556414
141445713320
15a82b7dcab
hex64af42000

27027316736 has 112 divisors (see below), whose sum is σ = 61953428544. Its totient is φ = 11549343744.

The previous prime is 27027316711. The next prime is 27027316741. The reversal of 27027316736 is 63761372072.

It is a tau number, because it is divible by the number of its divisors (112).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36871826 + ... + 36872558.

It is an arithmetic number, because the mean of its divisors is an integer number (553155612).

Almost surely, 227027316736 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 27027316736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30976714272).

27027316736 is an abundant number, since it is smaller than the sum of its proper divisors (34926111808).

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

27027316736 is an frugal number, since it uses more digits than its factorization.

27027316736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1409 (or 1385 counting only the distinct ones).

The product of its (nonzero) digits is 444528, while the sum is 44.

The spelling of 27027316736 in words is "twenty-seven billion, twenty-seven million, three hundred sixteen thousand, seven hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448 512 643 733 896 1024 1286 1466 1792 2048 2572 2932 3584 4096 4501 5131 5144 5864 7168 8192 9002 10262 10288 11728 14336 18004 20524 20576 23456 28672 36008 41048 41152 46912 57344 72016 82096 82304 93824 144032 164192 164608 187648 288064 328384 329216 375296 471319 576128 656768 658432 750592 942638 1152256 1313536 1316864 1501184 1885276 2304512 2627072 2633728 3002368 3299233 3770552 4609024 5254144 5267456 6004736 6598466 7541104 9218048 10508288 13196932 15082208 18436096 21016576 26393864 30164416 36872192 42033152 52787728 60328832 105575456 120657664 211150912 241315328 422301824 482630656 844603648 965261312 1689207296 1930522624 3378414592 3861045248 6756829184 13513658368 27027316736