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13064376480 = 2535139195809
BaseRepresentation
bin11000010101011001…
…01001000010100000
31020201110221002101120
430022230221002200
5203223440021410
610000210532240
7641514240111
oct141254510240
936643832346
1013064376480
1155a4555461
122647297080
1313028219ac
148bd126208
15516e1b570
hex30ab290a0

13064376480 has 96 divisors (see below), whose sum is σ = 41449060800. Its totient is φ = 3458752512.

The previous prime is 13064376389. The next prime is 13064376499. The reversal of 13064376480 is 8467346031.

It is a happy number.

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

It is a super-2 number, since 2×130643764802 (a number of 21 digits) contains 22 as substring.

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, 31185 + ... + 164624.

It is an arithmetic number, because the mean of its divisors is an integer number (431761050).

Almost surely, 213064376480 is an apocalyptic number.

13064376480 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 13064376480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20724530400).

13064376480 is an abundant number, since it is smaller than the sum of its proper divisors (28384684320).

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

13064376480 is a wasteful number, since it uses less digits than its factorization.

13064376480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195966 (or 195958 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 42.

The spelling of 13064376480 in words is "thirteen billion, sixty-four million, three hundred seventy-six thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 139 160 240 278 417 480 556 695 834 1112 1390 1668 2085 2224 2780 3336 4170 4448 5560 6672 8340 11120 13344 16680 22240 33360 66720 195809 391618 587427 783236 979045 1174854 1566472 1958090 2349708 2937135 3132944 3916180 4699416 5874270 6265888 7832360 9398832 11748540 15664720 18797664 23497080 27217451 31329440 46994160 54434902 81652353 93988320 108869804 136087255 163304706 217739608 272174510 326609412 408261765 435479216 544349020 653218824 816523530 870958432 1088698040 1306437648 1633047060 2177396080 2612875296 3266094120 4354792160 6532188240 13064376480