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20156014132353 = 33112113179305017
BaseRepresentation
bin1001001010100111100000…
…00011111111110010000001
32122100220012021120121011000
410211103300003333302001
510120214004104213403
6110511313422242213
74150136551201461
oct445236003776201
978326167517130
1020156014132353
116471132569900
122316454426369
13b3291c839698
144d97b0659ba1
1524e4869407a3
hex1254f00ffc81

20156014132353 has 96 divisors (see below), whose sum is σ = 33297716995200. Its totient is φ = 12039981972480.

The previous prime is 20156014132343. The next prime is 20156014132357. The reversal of 20156014132353 is 35323141065102.

20156014132353 is a `hidden beast` number, since 2 + 0 + 1 + 5 + 6 + 0 + 1 + 413 + 235 + 3 = 666.

It is not a de Polignac number, because 20156014132353 - 214 = 20156014115969 is a prime.

It is a super-2 number, since 2×201560141323532 (a number of 27 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (20156014132357) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 65929101 + ... + 66234117.

It is an arithmetic number, because the mean of its divisors is an integer number (346851218700).

Almost surely, 220156014132353 is an apocalyptic number.

It is an amenable number.

20156014132353 is a deficient number, since it is larger than the sum of its proper divisors (13141702862847).

20156014132353 is a wasteful number, since it uses less digits than its factorization.

20156014132353 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305340 (or 305323 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

Adding to 20156014132353 its reverse (35323141065102), we get a palindrome (55479155197455).

The spelling of 20156014132353 in words is "twenty trillion, one hundred fifty-six billion, fourteen million, one hundred thirty-two thousand, three hundred fifty-three".

Divisors: 1 3 9 11 27 33 99 113 121 179 297 339 363 537 1017 1089 1243 1611 1969 3051 3267 3729 4833 5907 11187 13673 17721 20227 21659 33561 41019 53163 60681 64977 123057 182043 194931 222497 305017 369171 546129 584793 667491 915051 2002473 2447467 2745153 3355187 6007419 7342401 8235459 10065561 22027203 30196683 34466921 36907057 54598043 66081609 90590049 103400763 110721171 163794129 310202289 332163513 379136131 491382387 600578473 930606867 996490539 1137408393 1474147161 1801735419 3412225179 4170497441 5405206257 6169578859 6606363203 10236675537 12511492323 16215618771 18508736577 19819089609 37534476969 55526209731 59457268827 67865367449 112603430907 166578629193 178371806481 203596102347 610788307041 746519041939 1832364921123 2239557125817 6718671377451 20156014132353