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12634627040 = 255727141627
BaseRepresentation
bin10111100010001010…
…10001101111100000
31012121112021112222122
423301011101233200
5201333431031130
65445415523412
7625045362230
oct136105215740
935545245878
1012634627040
1153a3a10332
122547389568
131264795499
1487c019cc0
154de32d2e5
hex2f1151be0

12634627040 has 96 divisors (see below), whose sum is σ = 34240195584. Its totient is φ = 4315783680.

The previous prime is 12634627021. The next prime is 12634627043. The reversal of 12634627040 is 4072643621.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12634627043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 282707 + ... + 324333.

It is an arithmetic number, because the mean of its divisors is an integer number (356668704).

Almost surely, 212634627040 is an apocalyptic number.

12634627040 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 12634627040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17120097792).

12634627040 is an abundant number, since it is smaller than the sum of its proper divisors (21605568544).

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

12634627040 is a wasteful number, since it uses less digits than its factorization.

12634627040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41920 (or 41912 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 35.

The spelling of 12634627040 in words is "twelve billion, six hundred thirty-four million, six hundred twenty-seven thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 271 280 542 560 1084 1120 1355 1897 2168 2710 3794 4336 5420 7588 8672 9485 10840 15176 18970 21680 30352 37940 41627 43360 60704 75880 83254 151760 166508 208135 291389 303520 333016 416270 582778 666032 832540 1165556 1332064 1456945 1665080 2331112 2913890 3330160 4662224 5827780 6660320 9324448 11280917 11655560 22561834 23311120 45123668 46622240 56404585 78966419 90247336 112809170 157932838 180494672 225618340 315865676 360989344 394832095 451236680 631731352 789664190 902473360 1263462704 1579328380 1804946720 2526925408 3158656760 6317313520 12634627040