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11551314432 = 29377314717
BaseRepresentation
bin10101100001000001…
…10001001000000000
31002211000211120110110
422300200301020000
5142124114030212
65150120431320
7556152360360
oct126040611000
932730746413
1011551314432
114998463559
1222a4618540
1311212081c8
147b81c29a0
15479191a3c
hex2b0831200

11551314432 has 160 divisors (see below), whose sum is σ = 35653825152. Its totient is φ = 3254943744.

The previous prime is 11551314431. The next prime is 11551314433. The reversal of 11551314432 is 23441315511.

It is an interprime number because it is at equal distance from previous prime (11551314431) and next prime (11551314433).

It is a self number, because there is not a number n which added to its sum of digits gives 11551314432.

It is not an unprimeable number, because it can be changed into a prime (11551314431) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 777538 + ... + 792254.

Almost surely, 211551314432 is an apocalyptic number.

11551314432 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 11551314432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17826912576).

11551314432 is an abundant number, since it is smaller than the sum of its proper divisors (24102510720).

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

11551314432 is an equidigital number, since it uses as much as digits as its factorization.

11551314432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14818 (or 14802 counting only the distinct ones).

The product of its digits is 7200, while the sum is 30.

Adding to 11551314432 its reverse (23441315511), we get a palindrome (34992629943).

The spelling of 11551314432 in words is "eleven billion, five hundred fifty-one million, three hundred fourteen thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 73 84 96 112 128 146 168 192 219 224 256 292 336 384 438 448 511 512 584 672 768 876 896 1022 1168 1344 1533 1536 1752 1792 2044 2336 2688 3066 3504 3584 4088 4672 5376 6132 7008 8176 9344 10752 12264 14016 14717 16352 18688 24528 28032 29434 32704 37376 44151 49056 56064 58868 65408 88302 98112 103019 112128 117736 130816 176604 196224 206038 235472 261632 309057 353208 392448 412076 470944 618114 706416 784896 824152 941888 1074341 1236228 1412832 1648304 1883776 2148682 2472456 2825664 3223023 3296608 3767552 4297364 4944912 5651328 6446046 6593216 7520387 7535104 8594728 9889824 11302656 12892092 13186432 15040774 17189456 19779648 22561161 22605312 25784184 26372864 30081548 34378912 39559296 45122322 51568368 52745728 60163096 68757824 79118592 90244644 103136736 120326192 137515648 158237184 180489288 206273472 240652384 275031296 360978576 412546944 481304768 550062592 721957152 825093888 962609536 1443914304 1650187776 1925219072 2887828608 3850438144 5775657216 11551314432