Search a number
-
+
13520632512 = 263738591123
BaseRepresentation
bin11001001011110010…
…00111101011000000
31021220021110022000010
430211321013223000
5210142240220022
610113350024520
7656024323452
oct144571075300
937807408003
1013520632512
115809054362
122754048140
1313761cc08a
149239722d2
15541ee350c
hex325e47ac0

13520632512 has 112 divisors (see below), whose sum is σ = 36337930880. Its totient is φ = 4436011008.

The previous prime is 13520632483. The next prime is 13520632529. The reversal of 13520632512 is 21523602531.

It is a self number, because there is not a number n which added to its sum of digits gives 13520632512.

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, 12039183 + ... + 12040305.

Almost surely, 213520632512 is an apocalyptic number.

13520632512 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 13520632512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18168965440).

13520632512 is an abundant number, since it is smaller than the sum of its proper divisors (22817298368).

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

13520632512 is a wasteful number, since it uses less digits than its factorization.

13520632512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2070 (or 2060 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The spelling of 13520632512 in words is "thirteen billion, five hundred twenty million, six hundred thirty-two thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 73 96 146 192 219 292 438 584 859 876 1123 1168 1718 1752 2246 2336 2577 3369 3436 3504 4492 4672 5154 6738 6872 7008 8984 10308 13476 13744 14016 17968 20616 26952 27488 35936 41232 53904 54976 62707 71872 81979 82464 107808 125414 163958 164928 188121 215616 245937 250828 327916 376242 491874 501656 655832 752484 964657 983748 1003312 1311664 1504968 1929314 1967496 2006624 2623328 2893971 3009936 3858628 3934992 4013248 5246656 5787942 6019872 7717256 7869984 11575884 12039744 15434512 15739968 23151768 30869024 46303536 61738048 70419961 92607072 140839922 185214144 211259883 281679844 422519766 563359688 845039532 1126719376 1690079064 2253438752 3380158128 4506877504 6760316256 13520632512