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13140504452052 = 22332332917160709
BaseRepresentation
bin1011111100111000001100…
…0110011001101111010100
31201112012221100102020011000
42333032003012121233110
53210243223114431202
643540355302343300
72524240643626365
oct277160306315724
951465840366130
1013140504452052
11420694721115a
12158287442ab30
137441b4c00a43
1433600a647b6c
1517bc3480091c
hexbf383199bd4

13140504452052 has 96 divisors (see below), whose sum is σ = 35550491961600. Its totient is φ = 4189572706176.

The previous prime is 13140504452051. The next prime is 13140504452077. The reversal of 13140504452052 is 25025440504131.

13140504452052 is a `hidden beast` number, since 1 + 3 + 1 + 4 + 0 + 5 + 0 + 445 + 205 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 13140504451998 and 13140504452016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13140504452051) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 81685474 + ... + 81846182.

It is an arithmetic number, because the mean of its divisors is an integer number (370317624600).

Almost surely, 213140504452052 is an apocalyptic number.

13140504452052 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13140504452052 is an abundant number, since it is smaller than the sum of its proper divisors (22409987509548).

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

13140504452052 is a wasteful number, since it uses less digits than its factorization.

13140504452052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193662 (or 193654 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

Adding to 13140504452052 its reverse (25025440504131), we get a palindrome (38165944956183).

The spelling of 13140504452052 in words is "thirteen trillion, one hundred forty billion, five hundred four million, four hundred fifty-two thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 18 23 27 36 46 54 69 92 108 138 207 276 414 621 828 1242 2484 32917 65834 98751 131668 160709 197502 296253 321418 395004 482127 592506 642836 757091 888759 964254 1185012 1446381 1514182 1777518 1928508 2271273 2892762 3028364 3555036 3696307 4339143 4542546 5785524 6813819 7392614 8678286 9085092 11088921 13627638 14785228 17356572 20441457 22177842 27255276 33266763 40882914 44355684 66533526 81765828 99800289 133067052 199600578 399201156 5290058153 10580116306 15870174459 21160232612 31740348918 47610523377 63480697836 95221046754 121671337519 142831570131 190442093508 243342675038 285663140262 365014012557 486685350076 571326280524 730028025114 1095042037671 1460056050228 2190084075342 3285126113013 4380168150684 6570252226026 13140504452052