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13134142572 = 22329210712163
BaseRepresentation
bin11000011101101101…
…10001110001101100
31020220100012120110220
430032312301301230
5203344320030242
610011142131340
7643322240565
oct141666616154
936810176426
1013134142572
11562a976791
122666720b50
13131410abc5
148c84c716c
1551d0ecbec
hex30edb1c6c

13134142572 has 72 divisors (see below), whose sum is σ = 32038808256. Its totient is φ = 4187230656.

The previous prime is 13134142537. The next prime is 13134142613. The reversal of 13134142572 is 27524143131.

It is a super-2 number, since 2×131341425722 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1073763 + ... + 1085925.

It is an arithmetic number, because the mean of its divisors is an integer number (444983448).

Almost surely, 213134142572 is an apocalyptic number.

13134142572 is a gapful number since it is divisible by the number (12) 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 13134142572, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16019404128).

13134142572 is an abundant number, since it is smaller than the sum of its proper divisors (18904665684).

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

13134142572 is a wasteful number, since it uses less digits than its factorization.

13134142572 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12335 (or 12304 counting only the distinct ones).

The product of its digits is 20160, while the sum is 33.

The spelling of 13134142572 in words is "thirteen billion, one hundred thirty-four million, one hundred forty-two thousand, five hundred seventy-two".

Divisors: 1 2 3 4 6 12 29 58 87 107 116 174 214 321 348 428 642 841 1284 1682 2523 3103 3364 5046 6206 9309 10092 12163 12412 18618 24326 36489 37236 48652 72978 89987 145956 179974 269961 352727 359948 539922 705454 1058181 1079844 1301441 1410908 2116362 2602882 3904323 4232724 5205764 7808646 10229083 15617292 20458166 30687249 37741789 40916332 61374498 75483578 113225367 122748996 150967156 226450734 452901468 1094511881 2189023762 3283535643 4378047524 6567071286 13134142572