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13152433152 = 210310740013
BaseRepresentation
bin11000011111111001…
…00011010000000000
31020221121121211102210
430033330203100000
5203414010330102
610013034142120
7643633560105
oct141774432000
936847554383
1013152433152
11563a229771
122670881940
131317b43231
148caac8aac
1551ea1236c
hex30ff23400

13152433152 has 88 divisors (see below), whose sum is σ = 35384540256. Its totient is φ = 4343062528.

The previous prime is 13152433123. The next prime is 13152433153. The reversal of 13152433152 is 25133425131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13152433153) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 308698 + ... + 348710.

Almost surely, 213152433152 is an apocalyptic number.

13152433152 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 13152433152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17692270128).

13152433152 is an abundant number, since it is smaller than the sum of its proper divisors (22232107104).

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

13152433152 is a wasteful number, since it uses less digits than its factorization.

13152433152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40143 (or 40125 counting only the distinct ones).

The product of its digits is 10800, while the sum is 30.

Adding to 13152433152 its reverse (25133425131), we get a palindrome (38285858283).

The spelling of 13152433152 in words is "thirteen billion, one hundred fifty-two million, four hundred thirty-three thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 107 128 192 214 256 321 384 428 512 642 768 856 1024 1284 1536 1712 2568 3072 3424 5136 6848 10272 13696 20544 27392 40013 41088 54784 80026 82176 109568 120039 160052 164352 240078 320104 328704 480156 640208 960312 1280416 1920624 2560832 3841248 4281391 5121664 7682496 8562782 10243328 12844173 15364992 17125564 20486656 25688346 30729984 34251128 40973312 51376692 61459968 68502256 102753384 122919936 137004512 205506768 274009024 411013536 548018048 822027072 1096036096 1644054144 2192072192 3288108288 4384144384 6576216576 13152433152