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13309947720 = 2332559961723
BaseRepresentation
bin11000110010101010…
…11010111101001000
31021100121000101210200
430121111122331020
5204224321311340
610040422212200
7650555455206
oct143125327510
937317011720
1013309947720
1157101337a3
1226b5584060
131341673614
149039ac076
1552d778330
hex31955af48

13309947720 has 96 divisors (see below), whose sum is σ = 43330248000. Its totient is φ = 3543336576.

The previous prime is 13309947713. The next prime is 13309947787. The reversal of 13309947720 is 2774990331.

13309947720 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 (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 184779 + ... + 246501.

It is an arithmetic number, because the mean of its divisors is an integer number (451356750).

Almost surely, 213309947720 is an apocalyptic number.

13309947720 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 13309947720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21665124000).

13309947720 is an abundant number, since it is smaller than the sum of its proper divisors (30020300280).

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

13309947720 is a wasteful number, since it uses less digits than its factorization.

13309947720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62339 (or 62332 counting only the distinct ones).

The product of its (nonzero) digits is 285768, while the sum is 45.

The spelling of 13309947720 in words is "thirteen billion, three hundred nine million, nine hundred forty-seven thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 599 1198 1797 2396 2995 3594 4792 5391 5990 7188 8985 10782 11980 14376 17970 21564 23960 26955 35940 43128 53910 61723 71880 107820 123446 185169 215640 246892 308615 370338 493784 555507 617230 740676 925845 1111014 1234460 1481352 1851690 2222028 2468920 2777535 3703380 4444056 5555070 7406760 11110140 22220280 36972077 73944154 110916231 147888308 184860385 221832462 295776616 332748693 369720770 443664924 554581155 665497386 739441540 887329848 1109162310 1330994772 1478883080 1663743465 2218324620 2661989544 3327486930 4436649240 6654973860 13309947720