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20132140784 = 247341131683
BaseRepresentation
bin10010101111111110…
…000001011011110000
31220222001011201022212
4102233332001123300
5312212312001114
613125405351252
71311615242000
oct225776013360
956861151285
1020132140784
1185a1083388
123a9a268528
131b8ab92952
14d8da82000
157cc66db3e
hex4aff816f0

20132140784 has 160 divisors (see below), whose sum is σ = 47021990400. Its totient is φ = 8341132800.

The previous prime is 20132140729. The next prime is 20132140793. The reversal of 20132140784 is 48704123102.

It is a super-2 number, since 2×201321407842 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 20132140784.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29475707 + ... + 29476389.

It is an arithmetic number, because the mean of its divisors is an integer number (293887440).

Almost surely, 220132140784 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 20132140784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23510995200).

20132140784 is an abundant number, since it is smaller than the sum of its proper divisors (26889849616).

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

20132140784 is a wasteful number, since it uses less digits than its factorization.

20132140784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 884 (or 864 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 32.

Adding to 20132140784 its reverse (48704123102), we get a palindrome (68836263886).

The spelling of 20132140784 in words is "twenty billion, one hundred thirty-two million, one hundred forty thousand, seven hundred eighty-four".

Divisors: 1 2 4 7 8 14 16 28 41 49 56 82 98 112 131 164 196 262 287 328 343 392 524 574 656 683 686 784 917 1048 1148 1366 1372 1834 2009 2096 2296 2732 2744 3668 4018 4592 4781 5371 5464 5488 6419 7336 8036 9562 10742 10928 12838 14063 14672 16072 19124 21484 25676 28003 28126 32144 33467 37597 38248 42968 44933 51352 56006 56252 66934 75194 76496 85936 89473 89866 102704 112012 112504 133868 150388 178946 179732 196021 224024 225008 234269 263179 267736 300776 357892 359464 392042 448048 468538 526358 535472 601552 626311 715784 718928 784084 937076 1052716 1252622 1372147 1431568 1568168 1842253 1874152 2105432 2505244 2744294 3136336 3668393 3684506 3748304 4210864 4384177 5010488 5488588 7336786 7369012 8768354 9605029 10020976 10977176 14673572 14738024 17536708 19210058 21954352 25678751 29347144 29476048 30689239 35073416 38420116 51357502 58694288 61378478 70146832 76840232 102715004 122756956 153680464 179751257 205430008 245513912 359502514 410860016 491027824 719005028 1258258799 1438010056 2516517598 2876020112 5033035196 10066070392 20132140784