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13955596288 = 2152318517
BaseRepresentation
bin11001111111101000…
…11000000000000000
31100000120220202010121
430333310120000000
5212040113040123
610224444510024
71002555416434
oct147764300000
940016822117
1013955596288
115a11630057
12285584b314
131415362aaa
149656389c4
1556a2b175d
hex33fd18000

13955596288 has 64 divisors (see below), whose sum is σ = 29125851120. Its totient is φ = 6674055168.

The previous prime is 13955596283. The next prime is 13955596289. The reversal of 13955596288 is 88269555931.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13955596283) 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 3 ways as a sum of consecutive naturals, for example, 744406 + ... + 762922.

Almost surely, 213955596288 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 13955596288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14562925560).

13955596288 is an abundant number, since it is smaller than the sum of its proper divisors (15170254832).

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

13955596288 is an frugal number, since it uses more digits than its factorization.

13955596288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18570 (or 18542 counting only the distinct ones).

The product of its digits is 23328000, while the sum is 61.

The spelling of 13955596288 in words is "thirteen billion, nine hundred fifty-five million, five hundred ninety-six thousand, two hundred eighty-eight".

Divisors: 1 2 4 8 16 23 32 46 64 92 128 184 256 368 512 736 1024 1472 2048 2944 4096 5888 8192 11776 16384 18517 23552 32768 37034 47104 74068 94208 148136 188416 296272 376832 425891 592544 753664 851782 1185088 1703564 2370176 3407128 4740352 6814256 9480704 13628512 18961408 27257024 37922816 54514048 75845632 109028096 151691264 218056192 303382528 436112384 606765056 872224768 1744449536 3488899072 6977798144 13955596288