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12506897403 = 32711137917573
BaseRepresentation
bin10111010010111100…
…00001101111111011
31012021121221012212100
423221132001233323
5201103231204103
65425014114443
7621634605510
oct135136015773
935247835770
1012506897403
1153388aa150
12251064ba23
131244193210
1486908b307
154d2eec5a3
hex2e9781bfb

12506897403 has 96 divisors (see below), whose sum is σ = 24564234240. Its totient is φ = 5921061120.

The previous prime is 12506897387. The next prime is 12506897411. The reversal of 12506897403 is 30479860521.

12506897403 is a `hidden beast` number, since 12 + 506 + 8 + 97 + 40 + 3 = 666.

12506897403 is a nontrivial binomial coefficient, being equal to C(158158, 2).

It is not a de Polignac number, because 12506897403 - 24 = 12506897387 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12506897443) 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, 702925 + ... + 720497.

It is an arithmetic number, because the mean of its divisors is an integer number (255877440).

It is a 2-persistent number, because it is pandigital, and so is 2⋅12506897403 = 25013794806, but 3⋅12506897403 = 37520692209 is not.

Almost surely, 212506897403 is an apocalyptic number.

12506897403 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

12506897403 is the 158157-th triangular number and also the 79079-th hexagonal number.

12506897403 is a deficient number, since it is larger than the sum of its proper divisors (12057336837).

12506897403 is a wasteful number, since it uses less digits than its factorization.

12506897403 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17689 (or 17686 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

It can be divided in two parts, 12506 and 897403, that added together give a palindrome (909909).

The spelling of 12506897403 in words is "twelve billion, five hundred six million, eight hundred ninety-seven thousand, four hundred three".

Divisors: 1 3 7 9 11 13 21 33 39 63 77 79 91 99 117 143 231 237 273 429 553 693 711 819 869 1001 1027 1287 1659 2607 3003 3081 4977 6083 7189 7821 9009 9243 11297 17573 18249 21567 33891 52719 54747 64701 79079 101673 123011 158157 193303 228449 237237 369033 579909 685347 711711 1107099 1353121 1388267 1599143 1739727 2056041 2512939 4059363 4164801 4797429 7538817 9717869 12178089 12494403 14392287 15270937 17590573 18047471 22616451 29153607 45812811 52771719 54142413 87460821 106896559 126332297 137438433 158315157 162427239 198522181 320689677 378996891 595566543 962069031 1136990673 1389655267 1786699629 4168965801 12506897403