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12535145467380 = 2233536136424919
BaseRepresentation
bin1011011001101001000011…
…1001001000110111110100
31122101100101211200112201000
42312122100321020313310
53120333434214424010
642354322154403300
72432430406306344
oct266322071106764
948340354615630
1012535145467380
113aa314190a108
1214a548aa30530
136cc09cc340b3
143149c0776d24
1516b10426a7c0
hexb6690e48df4

12535145467380 has 96 divisors (see below), whose sum is σ = 39009030278400. Its totient is φ = 3341779749504.

The previous prime is 12535145467373. The next prime is 12535145467421. The reversal of 12535145467380 is 8376454153521.

It is a happy number.

12535145467380 is a `hidden beast` number, since 1 + 2 + 5 + 3 + 5 + 14 + 546 + 7 + 3 + 80 = 666.

12535145467380 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1261440 + ... + 5163479.

It is an arithmetic number, because the mean of its divisors is an integer number (406344065400).

Almost surely, 212535145467380 is an apocalyptic number.

12535145467380 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12535145467380 is an abundant number, since it is smaller than the sum of its proper divisors (26473884811020).

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

12535145467380 is a wasteful number, since it uses less digits than its factorization.

12535145467380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6428550 (or 6428542 counting only the distinct ones).

The product of its (nonzero) digits is 12096000, while the sum is 54.

The spelling of 12535145467380 in words is "twelve trillion, five hundred thirty-five billion, one hundred forty-five million, four hundred sixty-seven thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 3613 7226 10839 14452 18065 21678 32517 36130 43356 54195 65034 72260 97551 108390 130068 162585 195102 216780 325170 390204 487755 650340 975510 1951020 6424919 12849838 19274757 25699676 32124595 38549514 57824271 64249190 77099028 96373785 115648542 128498380 173472813 192747570 231297084 289121355 346945626 385495140 578242710 693891252 867364065 1156485420 1734728130 3469456260 23213232347 46426464694 69639697041 92852929388 116066161735 139279394082 208919091123 232132323470 278558788164 348198485205 417838182246 464264646940 626757273369 696396970410 835676364492 1044595455615 1253514546738 1392793940820 2089190911230 2507029093476 3133786366845 4178381822460 6267572733690 12535145467380