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537880013418 = 231161347521739
BaseRepresentation
bin1111101001111000010…
…01011010101001101010
31220102100210010202212110
413310330021122221222
532303034240412133
61051033151223150
753601111451266
oct7647411325152
91812323122773
10537880013418
11198128277210
12882b2b17ab6
133b94cc351b7
141c0680210a6
15ded1455c63
hex7d3c25aa6a

537880013418 has 128 divisors (see below), whose sum is σ = 1200150328320. Its totient is φ = 159337152000.

The previous prime is 537880013417. The next prime is 537880013441. The reversal of 537880013418 is 814310088735.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (537880013417) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 727848093 + ... + 727848831.

It is an arithmetic number, because the mean of its divisors is an integer number (9376174440).

Almost surely, 2537880013418 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 537880013418, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (600075164160).

537880013418 is an abundant number, since it is smaller than the sum of its proper divisors (662270314902).

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

537880013418 is a wasteful number, since it uses less digits than its factorization.

537880013418 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1684.

The product of its (nonzero) digits is 645120, while the sum is 48.

The spelling of 537880013418 in words is "five hundred thirty-seven billion, eight hundred eighty million, thirteen thousand, four hundred eighteen".

Divisors: 1 2 3 6 11 22 33 61 66 122 183 347 366 521 671 694 739 1041 1042 1342 1478 1563 2013 2082 2217 3126 3817 4026 4434 5731 7634 8129 11451 11462 16258 17193 21167 22902 24387 31781 34386 42334 45079 48774 63501 63562 90158 95343 127002 135237 180787 190686 232837 256433 270474 349591 361574 385019 465674 495869 512866 542361 698511 699182 769299 770038 991738 1048773 1084722 1155057 1397022 1487607 1538598 1988657 2097546 2310114 2820763 2975214 3977314 4235209 5641526 5965971 8462289 8470418 11028007 11931942 12705627 15642413 16924578 22056014 23486159 25411254 31284826 33084021 46927239 46972318 66168042 70458477 93854478 121308077 133601593 140916954 172066543 242616154 258347749 267203186 344133086 363924231 400804779 516199629 516695498 727848462 775043247 801609558 1032399258 1469617523 1550086494 2939235046 4408852569 8149697173 8817705138 16299394346 24449091519 48898183038 89646668903 179293337806 268940006709 537880013418