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11629187253 = 341929673889
BaseRepresentation
bin10101101010010011…
…10101000010110101
31010000110100220220000
422311021311002311
5142304032443003
65201541501513
7561116314005
oct126511650265
933013326800
1011629187253
114a28411562
122306711899
1311343a22b8
147c4694005
15480e251a3
hex2b52750b5

11629187253 has 80 divisors (see below), whose sum is σ = 19204152000. Its totient is φ = 6983843328.

The previous prime is 11629187243. The next prime is 11629187257. The reversal of 11629187253 is 35278192611.

11629187253 is a `hidden beast` number, since 1 + 1 + 629 + 18 + 7 + 2 + 5 + 3 = 666.

11629187253 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11629187253 - 25 = 11629187221 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11629187199 and 11629187208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11629187257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2988333 + ... + 2992221.

It is an arithmetic number, because the mean of its divisors is an integer number (240051900).

Almost surely, 211629187253 is an apocalyptic number.

It is an amenable number.

11629187253 is a deficient number, since it is larger than the sum of its proper divisors (7574964747).

11629187253 is a wasteful number, since it uses less digits than its factorization.

11629187253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4016 (or 4007 counting only the distinct ones).

The product of its digits is 181440, while the sum is 45.

The spelling of 11629187253 in words is "eleven billion, six hundred twenty-nine million, one hundred eighty-seven thousand, two hundred fifty-three".

Divisors: 1 3 9 19 27 29 57 67 81 87 171 201 261 513 551 603 783 1273 1539 1653 1809 1943 2349 3819 3889 4959 5427 5829 11457 11667 14877 17487 34371 35001 36917 44631 52461 73891 103113 105003 110751 112781 157383 221673 260563 315009 332253 338343 665019 781689 996759 1015029 1995057 2142839 2345067 2990277 3045087 4950697 5985171 6428517 7035201 7556327 9135261 14852091 19285551 21105603 22668981 44556273 57856653 68006943 133668819 143570213 173569959 204020829 401006457 430710639 612062487 1292131917 3876395751 11629187253