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13213484832 = 253298395657
BaseRepresentation
bin11000100111001010…
…11100011100100000
31021002212111120121010
430103211130130200
5204030123003312
610023054500520
7645304524252
oct142345343440
937085446533
1013213484832
1156707387a9
122689204740
13132769aaa2
148d4c5bcd2
1552507193c
hex31395c720

13213484832 has 96 divisors (see below), whose sum is σ = 35930563200. Its totient is φ = 4246796288.

The previous prime is 13213484827. The next prime is 13213484897. The reversal of 13213484832 is 23848431231.

It is a tau number, because it is divible by the number of its divisors (96).

It is a nude number because it is divisible by every one of its digits.

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, 2332948 + ... + 2338604.

It is an arithmetic number, because the mean of its divisors is an integer number (374276700).

Almost surely, 213213484832 is an apocalyptic number.

13213484832 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 13213484832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17965281600).

13213484832 is an abundant number, since it is smaller than the sum of its proper divisors (22717078368).

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

13213484832 is a wasteful number, since it uses less digits than its factorization.

13213484832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6538 (or 6530 counting only the distinct ones).

The product of its digits is 110592, while the sum is 39.

The spelling of 13213484832 in words is "thirteen billion, two hundred thirteen million, four hundred eighty-four thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 87 96 116 174 232 348 464 696 839 928 1392 1678 2517 2784 3356 5034 5657 6712 10068 11314 13424 16971 20136 22628 24331 26848 33942 40272 45256 48662 67884 72993 80544 90512 97324 135768 145986 164053 181024 194648 271536 291972 328106 389296 492159 543072 583944 656212 778592 984318 1167888 1312424 1968636 2335776 2624848 3937272 4746223 5249696 7874544 9492446 14238669 15749088 18984892 28477338 37969784 56954676 75939568 113909352 137640467 151879136 227818704 275280934 412921401 455637408 550561868 825842802 1101123736 1651685604 2202247472 3303371208 4404494944 6606742416 13213484832