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27010553440 = 2551329671033
BaseRepresentation
bin11001001001111101…
…000101011001100000
32120201102010021122011
4121021331011121200
5420304200202230
620224121522304
71644226626133
oct311175053140
976642107564
1027010553440
1110500831642
125299943394
132715c37300
1414433cc21a
15a8146be2a
hex649f45660

27010553440 has 144 divisors (see below), whose sum is σ = 69237086688. Its totient is φ = 9953169408.

The previous prime is 27010553419. The next prime is 27010553441. The reversal of 27010553440 is 4435501072.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27010553441) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26147164 + ... + 26148196.

It is an arithmetic number, because the mean of its divisors is an integer number (480813102).

Almost surely, 227010553440 is an apocalyptic number.

27010553440 is a gapful number since it is divisible by the number (20) 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 27010553440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34618543344).

27010553440 is an abundant number, since it is smaller than the sum of its proper divisors (42226533248).

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

27010553440 is a wasteful number, since it uses less digits than its factorization.

27010553440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2041 (or 2020 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 31.

The spelling of 27010553440 in words is "twenty-seven billion, ten million, five hundred fifty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 160 169 208 260 338 416 520 676 845 967 1033 1040 1352 1690 1934 2066 2080 2704 3380 3868 4132 4835 5165 5408 6760 7736 8264 9670 10330 12571 13429 13520 15472 16528 19340 20660 25142 26858 27040 30944 33056 38680 41320 50284 53716 62855 67145 77360 82640 100568 107432 125710 134290 154720 163423 165280 174577 201136 214864 251420 268580 326846 349154 402272 429728 502840 537160 653692 698308 817115 872885 998911 1005680 1074320 1307384 1396616 1634230 1745770 1997822 2011360 2148640 2614768 2793232 3268460 3491540 3995644 4994555 5229536 5586464 6536920 6983080 7991288 9989110 12985843 13073840 13966160 15982576 19978220 25971686 26147680 27932320 31965152 39956440 51943372 64929215 79912880 103886744 129858430 159825760 168815959 207773488 259716860 337631918 415546976 519433720 675263836 844079795 1038867440 1350527672 1688159590 2077734880 2701055344 3376319180 5402110688 6752638360 13505276720 27010553440