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427436188213375 = 5311539773098273
BaseRepresentation
bin110000100110000000011111…
…0001010011010000001111111
32002001102111111212202200102201
41201030000332022122001333
5422011103303140312000
64113025250221532331
7156014150131606645
oct14114007612320177
92061374455680381
10427436188213375
1111421574000a730
123bb33bb67140a7
13154670a0c17743
14777a04410d195
1534638e20ea96a
hex184c03e29a07f

427436188213375 has 128 divisors (see below), whose sum is σ = 599181744994560. Its totient is φ = 301775265792000.

The previous prime is 427436188213367. The next prime is 427436188213379. The reversal of 427436188213375 is 573312881634724.

It is a happy number.

It is not a de Polignac number, because 427436188213375 - 23 = 427436188213367 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (427436188213379) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 51666403239 + ... + 51666411511.

It is an arithmetic number, because the mean of its divisors is an integer number (4681107382770).

Almost surely, 2427436188213375 is an apocalyptic number.

427436188213375 is a deficient number, since it is larger than the sum of its proper divisors (171745556781185).

427436188213375 is a wasteful number, since it uses less digits than its factorization.

427436188213375 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15758 (or 15748 counting only the distinct ones).

The product of its digits is 162570240, while the sum is 64.

The spelling of 427436188213375 in words is "four hundred twenty-seven trillion, four hundred thirty-six billion, one hundred eighty-eight million, two hundred thirteen thousand, three hundred seventy-five".

Divisors: 1 5 11 25 53 55 97 125 265 275 485 583 1067 1325 1375 2425 2915 5141 5335 6625 7309 8273 12125 14575 25705 26675 36545 41365 56551 72875 80399 91003 128525 133375 182725 206825 282755 387377 401995 438469 455015 642625 708973 802481 913625 1034125 1413775 1936885 2009975 2192345 2275075 3544865 4012405 4261147 4823159 7068875 7798703 8827291 9684425 10049875 10961725 11375375 17724325 20062025 21305735 24115795 37575569 38993515 42531493 44136455 48422125 54808625 60467357 88621625 100310125 106528675 120578975 187877845 194967575 212657465 220682275 302336785 413331259 467846423 532643375 602894875 665140927 939389225 974837875 1063287325 1103411375 1511683925 2066656295 2339232115 3204769921 3325704635 4696946125 5316436625 5865333629 7558419625 10333281475 11696160575 16023849605 16628523175 29326668145 35252469131 51666407375 58480802875 64518669919 80119248025 83142615875 146633340725 176262345655 310862682337 322593349595 400596240125 733166703625 881311728275 1554313411685 1612966747975 3419489505707 4406558641375 7771567058425 8064833739875 17097447528535 38857835292125 85487237642675 427436188213375