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27211645472 = 251142412
BaseRepresentation
bin11001010101111100…
…001100001000100000
32121020102111211001012
4121111330030020200
5421212140123342
620300104000052
71652221112234
oct312574141040
977212454035
1027211645472
11105a42a0000
125335160028
1327487b468b
141461db65c4
15a93e3eb82
hex655f0c220

27211645472 has 90 divisors (see below), whose sum is σ = 59175390645. Its totient is φ = 12317606400.

The previous prime is 27211645471. The next prime is 27211645477. The reversal of 27211645472 is 27454611272.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 25356103696 + 1855541776 = 159236^2 + 43076^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=116644.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (27211645471) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 112911272 + ... + 112911512.

Almost surely, 227211645472 is an apocalyptic number.

27211645472 is a gapful number since it is divisible by the number (22) 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 27211645472

27211645472 is an abundant number, since it is smaller than the sum of its proper divisors (31963745173).

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

27211645472 is an frugal number, since it uses more digits than its factorization.

27211645472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 536 (or 254 counting only the distinct ones).

The product of its digits is 188160, while the sum is 41.

The spelling of 27211645472 in words is "twenty-seven billion, two hundred eleven million, six hundred forty-five thousand, four hundred seventy-two".

Divisors: 1 2 4 8 11 16 22 32 44 88 121 176 241 242 352 482 484 964 968 1331 1928 1936 2651 2662 3856 3872 5302 5324 7712 10604 10648 14641 21208 21296 29161 29282 42416 42592 58081 58322 58564 84832 116162 116644 117128 232324 233288 234256 320771 464648 466576 468512 638891 641542 929296 933152 1277782 1283084 1858592 2555564 2566168 3528481 5111128 5132336 7027801 7056962 10222256 10264672 14055602 14113924 20444512 28111204 28227848 56222408 56455696 77305811 112444816 112911392 154611622 224889632 309223244 618446488 850363921 1236892976 1700727842 2473785952 3401455684 6802911368 13605822736 27211645472