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12735507023478 = 2331974813248737
BaseRepresentation
bin1011100101010011011101…
…0111110100011001110110
31200002111120101022011221000
42321110313113310121312
53132124304244222403
643030340002104130
72453052510400641
oct271246727643166
950074511264830
1012735507023478
1140701097787a8
12151828764b046
13714c51124395
1432058a892a58
1517142e30c7a3
hexb95375f4676

12735507023478 has 64 divisors (see below), whose sum is σ = 28450811632320. Its totient is φ = 4222725405696.

The previous prime is 12735507023467. The next prime is 12735507023537. The reversal of 12735507023478 is 87432070553721.

12735507023478 is a `hidden beast` number, since 1 + 2 + 7 + 35 + 50 + 70 + 23 + 478 = 666.

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

It is a Curzon number.

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, 51076326 + ... + 51325062.

It is an arithmetic number, because the mean of its divisors is an integer number (444543931755).

Almost surely, 212735507023478 is an apocalyptic number.

12735507023478 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

12735507023478 is an abundant number, since it is smaller than the sum of its proper divisors (15715304608842).

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

12735507023478 is a wasteful number, since it uses less digits than its factorization.

12735507023478 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253758 (or 253752 counting only the distinct ones).

The product of its (nonzero) digits is 9878400, while the sum is 54.

The spelling of 12735507023478 in words is "twelve trillion, seven hundred thirty-five billion, five hundred seven million, twenty-three thousand, four hundred seventy-eight".

Divisors: 1 2 3 6 9 18 27 54 197 394 591 1182 1773 3546 4813 5319 9626 10638 14439 28878 43317 86634 129951 248737 259902 497474 746211 948161 1492422 1896322 2238633 2844483 4477266 5688966 6715899 8533449 13431798 17066898 25600347 49001189 51200694 98002378 147003567 294007134 441010701 882021402 1197171181 1323032103 2394342362 2646064206 3591513543 7183027086 10774540629 21549081258 32323621887 64647243774 235842722657 471685445314 707528167971 1415056335942 2122584503913 4245169007826 6367753511739 12735507023478