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12529104063952 = 247163712196377
BaseRepresentation
bin1011011001010010100011…
…0011000000110111010000
31122100202210210201110012111
42312110220303000313100
53120234101120021302
642351442502235104
72432124610236310
oct266245063006720
948322723643174
1012529104063952
113aa062167a313
1214a4283725a94
136cb6493cca78
143145aa26b440
1516ad9dba50d7
hexb6528cc0dd0

12529104063952 has 80 divisors (see below), whose sum is σ = 27917428205952. Its totient is φ = 5335868805120.

The previous prime is 12529104063947. The next prime is 12529104063989. The reversal of 12529104063952 is 25936040192521.

It is a junction number, because it is equal to n+sod(n) for n = 12529104063896 and 12529104063905.

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 15 ways as a sum of consecutive naturals, for example, 129952788 + ... + 130049164.

Almost surely, 212529104063952 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 12529104063952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13958714102976).

12529104063952 is an abundant number, since it is smaller than the sum of its proper divisors (15388324142000).

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

12529104063952 is a wasteful number, since it uses less digits than its factorization.

12529104063952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103676 (or 103670 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 49.

The spelling of 12529104063952 in words is "twelve trillion, five hundred twenty-nine billion, one hundred four million, sixty-three thousand, nine hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 56 112 163 326 652 1141 1304 2282 2608 4564 7121 9128 14242 18256 28484 49847 56968 96377 99694 113936 192754 199388 385508 398776 674639 771016 797552 1160723 1349278 1542032 2321446 2698556 4642892 5397112 8125061 9285784 10794224 15709451 16250122 18571568 31418902 32500244 62837804 65000488 109966157 125675608 130000976 219932314 251351216 439864628 686300617 879729256 1372601234 1759458512 2745202468 4804104319 5490404936 9608208638 10980809872 19216417276 38432834552 76865669104 111867000571 223734001142 447468002284 783069003997 894936004568 1566138007994 1789872009136 3132276015988 6264552031976 12529104063952