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53426977509376 = 21219260112
BaseRepresentation
bin11000010010111011100000…
…00001000001000000000000
321000011120100220221101021201
430021131300001001000000
524000321422220300001
6305344003054430544
714152654210551112
oct1411356001010000
9230146326841251
1053426977509376
1116029287a69259
125baa60a802454
1323a71b09c8ac3
14d29c4552d3b2
15629b5938d501
hex309770041000

53426977509376 has 117 divisors (see below), whose sum is σ = 112778837460543. Its totient is φ = 25303305461760.

The previous prime is 53426977509349. The next prime is 53426977509377. The reversal of 53426977509376 is 67390577962435.

It is a happy number.

The square root of 53426977509376 is 7309376.

It is a perfect power (a square), and thus also a powerful number.

It is a junction number, because it is equal to n+sod(n) for n = 53426977509299 and 53426977509308.

It is not an unprimeable number, because it can be changed into a prime (53426977509377) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 8888198211 + ... + 8888204221.

Almost surely, 253426977509376 is an apocalyptic number.

53426977509376 is the 7309376-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53426977509376

53426977509376 is an abundant number, since it is smaller than the sum of its proper divisors (59351859951167).

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

53426977509376 is an frugal number, since it uses more digits than its factorization.

53426977509376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12084 (or 6032 counting only the distinct ones).

The product of its (nonzero) digits is 1800338400, while the sum is 73.

The spelling of 53426977509376 in words is "fifty-three trillion, four hundred twenty-six billion, nine hundred seventy-seven million, five hundred nine thousand, three hundred seventy-six".

Divisors: 1 2 4 8 16 19 32 38 64 76 128 152 256 304 361 512 608 722 1024 1216 1444 2048 2432 2888 4096 4864 5776 6011 9728 11552 12022 19456 23104 24044 38912 46208 48088 77824 92416 96176 114209 184832 192352 228418 369664 384704 456836 739328 769408 913672 1478656 1538816 1827344 2169971 3077632 3654688 4339942 6155264 7309376 8679884 12310528 14618752 17359768 24621056 29237504 34719536 36132121 58475008 69439072 72264242 116950016 138878144 144528484 233900032 277756288 289056968 467800064 555512576 578113936 686510299 1111025152 1156227872 1373020598 2222050304 2312455744 2746041196 4444100608 4624911488 5492082392 8888201216 9249822976 10984164784 13043695681 18499645952 21968329568 26087391362 36999291904 43936659136 52174782724 73998583808 87873318272 104349565448 147997167616 175746636544 208699130896 351493273088 417398261792 702986546176 834796523584 1405973092352 1669593047168 2811946184704 3339186094336 6678372188672 13356744377344 26713488754688 53426977509376