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13120432320032 = 254324593877673
BaseRepresentation
bin1011111011101101011010…
…1101010010111000100000
31201110022010111011021100222
42332323112231102320200
53204431121133220112
643523235435102212
72522630354416142
oct276732655227040
951408114137328
1013120432320032
1141a9386aa52a4
12157a9b22a1968
137423365bc04b
14335064946c92
1517b45c587372
hexbeed6b52e20

13120432320032 has 48 divisors (see below), whose sum is σ = 26442324326880. Its totient is φ = 6405045545472.

The previous prime is 13120432319993. The next prime is 13120432320103. The reversal of 13120432320032 is 23002323402131.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 13120432319983 and 13120432320010.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1444748 + ... + 5322420.

It is an arithmetic number, because the mean of its divisors is an integer number (550881756810).

Almost surely, 213120432320032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13120432320032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13221162163440).

13120432320032 is an abundant number, since it is smaller than the sum of its proper divisors (13321892006848).

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

13120432320032 is a wasteful number, since it uses less digits than its factorization.

13120432320032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3880185 (or 3880177 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 26.

Adding to 13120432320032 its reverse (23002323402131), we get a palindrome (36122755722163).

The spelling of 13120432320032 in words is "thirteen trillion, one hundred twenty billion, four hundred thirty-two million, three hundred twenty thousand, thirty-two".

Divisors: 1 2 4 8 16 32 43 86 172 344 688 1376 2459 4918 9836 19672 39344 78688 105737 211474 422948 845896 1691792 3383584 3877673 7755346 15510692 31021384 62042768 124085536 166739939 333479878 666959756 1333919512 2667839024 5335678048 9535197907 19070395814 38140791628 76281583256 152563166512 305126333024 410013510001 820027020002 1640054040004 3280108080008 6560216160016 13120432320032