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12533698116 = 22324723972
BaseRepresentation
bin10111010110001000…
…10000111001000100
31012100111100211112100
423223010100321010
5201132111314431
65431412352100
7622411450632
oct135304207104
935314324470
1012533698116
115351a449a5
122519615630
1312498b7c24
1486c866352
154d55434e6
hex2eb110e44

12533698116 has 81 divisors (see below), whose sum is σ = 32452583709. Its totient is φ = 4078708128.

The previous prime is 12533698087. The next prime is 12533698117. The reversal of 12533698116 is 61189633521.

The square root of 12533698116 is 111954.

It is a perfect power (a square), and thus also a powerful number.

12533698116 is a `hidden beast` number, since 12 + 533 + 6 + 98 + 1 + 16 = 666.

It can be written as a sum of positive squares in only one way, i.e., 8399722500 + 4133975616 = 91650^2 + 64296^2 .

It is not an unprimeable number, because it can be changed into a prime (12533698117) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 31570830 + ... + 31571226.

Almost surely, 212533698116 is an apocalyptic number.

12533698116 is the 111954-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12533698116

12533698116 is an abundant number, since it is smaller than the sum of its proper divisors (19918885593).

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

12533698116 is an equidigital number, since it uses as much as digits as its factorization.

12533698116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 898 (or 449 counting only the distinct ones).

The product of its digits is 233280, while the sum is 45.

It can be divided in two parts, 12533 and 698116, that added together give a square (710649 = 8432).

The spelling of 12533698116 in words is "twelve billion, five hundred thirty-three million, six hundred ninety-eight thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 47 94 141 188 282 397 423 564 794 846 1191 1588 1692 2209 2382 3573 4418 4764 6627 7146 8836 13254 14292 18659 19881 26508 37318 39762 55977 74636 79524 111954 157609 167931 223908 315218 335862 472827 630436 671724 876973 945654 1418481 1753946 1891308 2630919 2836962 3507892 5261838 5673924 7407623 7892757 10523676 14815246 15785514 22222869 29630492 31571028 44445738 66668607 88891476 133337214 266674428 348158281 696316562 1044474843 1392633124 2088949686 3133424529 4177899372 6266849058 12533698116