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52270497792 = 215324212
BaseRepresentation
bin110000101011100100…
…001000000000000000
311222220211011102001200
4300223210020000000
51324022221412132
640002430101200
73530211620562
oct605344100000
9158824142050
1052270497792
1120193373707
12a16934a800
134c10285646
14275c0bd332
15155dd89d7c
hexc2b908000

52270497792 has 144 divisors (see below), whose sum is σ = 151360881165. Its totient is φ = 17382113280.

The previous prime is 52270497757. The next prime is 52270497823. The reversal of 52270497792 is 29779407225.

It is a happy number.

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.

52270497792 is a `hidden beast` number, since 522 + 7 + 0 + 49 + 7 + 79 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 29727277056 + 22543220736 = 172416^2 + 150144^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is an ABA number since it can be written as A⋅BA, here for A=2, B=161664.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 124157742 + ... + 124158162.

Almost surely, 252270497792 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 52270497792

52270497792 is an abundant number, since it is smaller than the sum of its proper divisors (99090383373).

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

52270497792 is an frugal number, since it uses more digits than its factorization.

52270497792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 878 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 4445280, while the sum is 54.

The spelling of 52270497792 in words is "fifty-two billion, two hundred seventy million, four hundred ninety-seven thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 421 512 576 768 842 1024 1152 1263 1536 1684 2048 2304 2526 3072 3368 3789 4096 4608 5052 6144 6736 7578 8192 9216 10104 12288 13472 15156 16384 18432 20208 24576 26944 30312 32768 36864 40416 49152 53888 60624 73728 80832 98304 107776 121248 147456 161664 177241 215552 242496 294912 323328 354482 431104 484992 531723 646656 708964 862208 969984 1063446 1293312 1417928 1595169 1724416 1939968 2126892 2586624 2835856 3190338 3448832 3879936 4253784 5173248 5671712 6380676 6897664 7759872 8507568 10346496 11343424 12761352 13795328 15519744 17015136 20692992 22686848 25522704 31039488 34030272 41385984 45373696 51045408 62078976 68060544 90747392 102090816 124157952 136121088 181494784 204181632 272242176 362989568 408363264 544484352 725979136 816726528 1088968704 1451958272 1633453056 2177937408 2903916544 3266906112 4355874816 5807833088 6533812224 8711749632 13067624448 17423499264 26135248896 52270497792