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13233002988 = 22323197257947
BaseRepresentation
bin11000101001011111…
…11001100111101100
31021011020020012110210
430110233321213230
5204100122043423
610025033102420
7645632445432
oct142457714754
937136205423
1013233002988
11568075a007
122693857a10
13132b742aaa
148d769cd52
15526b29b93
hex314bf99ec

13233002988 has 96 divisors (see below), whose sum is σ = 32543368704. Its totient is φ = 4177051648.

The previous prime is 13233002987. The next prime is 13233003001. The reversal of 13233002988 is 88920033231.

It is a super-2 number, since 2×132330029882 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13233002987) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13973131 + ... + 13974077.

It is an arithmetic number, because the mean of its divisors is an integer number (338993424).

Almost surely, 213233002988 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 13233002988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16271684352).

13233002988 is an abundant number, since it is smaller than the sum of its proper divisors (19310365716).

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

13233002988 is a wasteful number, since it uses less digits than its factorization.

13233002988 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1431 (or 1429 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The spelling of 13233002988 in words is "thirteen billion, two hundred thirty-three million, two thousand, nine hundred eighty-eight".

Divisors: 1 2 3 4 6 12 23 46 69 92 138 197 257 276 394 514 591 771 788 947 1028 1182 1542 1894 2364 2841 3084 3788 4531 5682 5911 9062 11364 11822 13593 17733 18124 21781 23644 27186 35466 43562 50629 54372 65343 70932 87124 101258 130686 151887 186559 202516 243379 261372 303774 373118 486758 559677 607548 730137 746236 973516 1119354 1164467 1460274 2238708 2328934 2920548 3493401 4290857 4657868 5597717 6986802 8581714 11195434 12872571 13973604 16793151 17163428 22390868 25745142 33586302 47945663 51490284 67172604 95891326 143836989 191782652 287673978 575347956 1102750249 2205500498 3308250747 4411000996 6616501494 13233002988