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13210320672 = 253360725189
BaseRepresentation
bin11000100110110010…
…10111111100100000
31021002122112211012000
430103121113330200
5204023320230142
610022503004000
7645235605303
oct142331277440
937078484160
1013210320672
11566997749a
122688139600
131326b307c3
148d4676b3a
15524b4914c
hex313657f20

13210320672 has 96 divisors (see below), whose sum is σ = 38595110400. Its totient is φ = 4396011264.

The previous prime is 13210320667. The next prime is 13210320677. The reversal of 13210320672 is 27602301231.

13210320672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13210320667) and next prime (13210320677).

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

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (13210320677) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 511854 + ... + 537042.

It is an arithmetic number, because the mean of its divisors is an integer number (402032400).

Almost surely, 213210320672 is an apocalyptic number.

13210320672 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 13210320672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19297555200).

13210320672 is an abundant number, since it is smaller than the sum of its proper divisors (25384789728).

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

13210320672 is a wasteful number, since it uses less digits than its factorization.

13210320672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25815 (or 25801 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The spelling of 13210320672 in words is "thirteen billion, two hundred ten million, three hundred twenty thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 607 864 1214 1821 2428 3642 4856 5463 7284 9712 10926 14568 16389 19424 21852 25189 29136 32778 43704 50378 58272 65556 75567 87408 100756 131112 151134 174816 201512 226701 262224 302268 403024 453402 524448 604536 680103 806048 906804 1209072 1360206 1813608 2418144 2720412 3627216 5440824 7254432 10881648 15289723 21763296 30579446 45869169 61158892 91738338 122317784 137607507 183476676 244635568 275215014 366953352 412822521 489271136 550430028 733906704 825645042 1100860056 1467813408 1651290084 2201720112 3302580168 4403440224 6605160336 13210320672