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13569303648 = 2531493792503
BaseRepresentation
bin11001010001100101…
…10010010001100000
31022000200001001020210
430220302302101200
5210242220204043
610122245134120
7660155115015
oct145062622140
938020031223
1013569303648
11583357773a
1227683ba340
131383310674
1492a20170c
15546409633
hex328cb2460

13569303648 has 96 divisors (see below), whose sum is σ = 35967456000. Its totient is φ = 4479100416.

The previous prime is 13569303647. The next prime is 13569303659. The reversal of 13569303648 is 84630396531.

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

It is a super-2 number, since 2×135693036482 (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 13569303597 and 13569303606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13569303647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5419965 + ... + 5422467.

It is an arithmetic number, because the mean of its divisors is an integer number (374661000).

Almost surely, 213569303648 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 13569303648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17983728000).

13569303648 is an abundant number, since it is smaller than the sum of its proper divisors (22398152352).

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

13569303648 is a wasteful number, since it uses less digits than its factorization.

13569303648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3044 (or 3036 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 48.

The spelling of 13569303648 in words is "thirteen billion, five hundred sixty-nine million, three hundred three thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 149 298 379 447 596 758 894 1137 1192 1516 1788 2274 2384 2503 3032 3576 4548 4768 5006 6064 7152 7509 9096 10012 12128 14304 15018 18192 20024 30036 36384 40048 56471 60072 80096 112942 120144 169413 225884 240288 338826 372947 451768 677652 745894 903536 948637 1118841 1355304 1491788 1807072 1897274 2237682 2710608 2845911 2983576 3794548 4475364 5421216 5691822 5967152 7589096 8950728 11383644 11934304 15178192 17901456 22767288 30356384 35802912 45534576 91069152 141346913 282693826 424040739 565387652 848081478 1130775304 1696162956 2261550608 3392325912 4523101216 6784651824 13569303648