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12523576540 = 2253154137337
BaseRepresentation
bin10111010100111011…
…01001110011011100
31012022210022121100011
423222131221303130
5201122013422130
65430411413004
7622226433646
oct135235516334
935283277304
1012523576540
115347261462
122516154164
131247782c27
1486b38d896
154d46e452a
hex2ea769cdc

12523576540 has 48 divisors (see below), whose sum is σ = 27198791424. Its totient is φ = 4838745600.

The previous prime is 12523576529. The next prime is 12523576561. The reversal of 12523576540 is 4567532521.

It is a junction number, because it is equal to n+sod(n) for n = 12523576493 and 12523576502.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 316752 + ... + 354088.

It is an arithmetic number, because the mean of its divisors is an integer number (566641488).

Almost surely, 212523576540 is an apocalyptic number.

12523576540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12523576540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13599395712).

12523576540 is an abundant number, since it is smaller than the sum of its proper divisors (14675214884).

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

12523576540 is a wasteful number, since it uses less digits than its factorization.

12523576540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37918 (or 37916 counting only the distinct ones).

The product of its (nonzero) digits is 252000, while the sum is 40.

The spelling of 12523576540 in words is "twelve billion, five hundred twenty-three million, five hundred seventy-six thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 31 62 124 155 310 541 620 1082 2164 2705 5410 10820 16771 33542 37337 67084 74674 83855 149348 167710 186685 335420 373370 746740 1157447 2314894 4629788 5787235 11574470 20199317 23148940 40398634 80797268 100996585 201993170 403986340 626178827 1252357654 2504715308 3130894135 6261788270 12523576540