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13252012224 = 2631143914293
BaseRepresentation
bin11000101011110000…
…11010100011000000
31021012112222222020120
430111320122203000
5204120003342344
610030552340240
7646253150103
oct142570324300
937175888216
1013252012224
115690462a20
12269a0a4680
13133266a269
148da00a73a
15528632219
hex315e1a8c0

13252012224 has 112 divisors (see below), whose sum is σ = 38339938560. Its totient is φ = 4006333440.

The previous prime is 13252012223. The next prime is 13252012253. The reversal of 13252012224 is 42221025231.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 13252012194 and 13252012203.

It is not an unprimeable number, because it can be changed into a prime (13252012223) 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, 920022 + ... + 934314.

It is an arithmetic number, because the mean of its divisors is an integer number (342320880).

Almost surely, 213252012224 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 13252012224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19169969280).

13252012224 is an abundant number, since it is smaller than the sum of its proper divisors (25087926336).

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

13252012224 is a wasteful number, since it uses less digits than its factorization.

13252012224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14758 (or 14748 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

Adding to 13252012224 its reverse (42221025231), we get a palindrome (55473037455).

The spelling of 13252012224 in words is "thirteen billion, two hundred fifty-two million, twelve thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 176 192 264 352 439 528 704 878 1056 1317 1756 2112 2634 3512 4829 5268 7024 9658 10536 14048 14293 14487 19316 21072 28096 28586 28974 38632 42144 42879 57172 57948 77264 84288 85758 114344 115896 154528 157223 171516 228688 231792 309056 314446 343032 457376 463584 471669 628892 686064 914752 927168 943338 1257784 1372128 1886676 2515568 2744256 3773352 5031136 6274627 7546704 10062272 12549254 15093408 18823881 25098508 30186816 37647762 50197016 69020897 75295524 100394032 138041794 150591048 200788064 207062691 276083588 301182096 401576128 414125382 552167176 602364192 828250764 1104334352 1204728384 1656501528 2208668704 3313003056 4417337408 6626006112 13252012224