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13251997332 = 22337109116067
BaseRepresentation
bin11000101011110000…
…10110111010010100
31021012112222012211000
430111320112322110
5204120002403312
610030552143300
7646253055510
oct142570267224
937175865730
1013251997332
115690452812
12269a097b30
131332663552
148da005140
1552862cadc
hex315e16e94

13251997332 has 96 divisors (see below), whose sum is σ = 39303613440. Its totient is φ = 3782579040.

The previous prime is 13251997307. The next prime is 13251997333. The reversal of 13251997332 is 23379915231.

13251997332 is a `hidden beast` number, since 1 + 32 + 519 + 9 + 73 + 32 = 666.

13251997332 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13251997333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 816763 + ... + 832829.

It is an arithmetic number, because the mean of its divisors is an integer number (409412640).

Almost surely, 213251997332 is an apocalyptic number.

13251997332 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 13251997332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19651806720).

13251997332 is an abundant number, since it is smaller than the sum of its proper divisors (26051616108).

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

13251997332 is a wasteful number, since it uses less digits than its factorization.

13251997332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17178 (or 17170 counting only the distinct ones).

The product of its digits is 306180, while the sum is 45.

The spelling of 13251997332 in words is "thirteen billion, two hundred fifty-one million, nine hundred ninety-seven thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 378 756 1091 2182 3273 4364 6546 7637 9819 13092 15274 16067 19638 22911 29457 30548 32134 39276 45822 48201 58914 64268 68733 91644 96402 112469 117828 137466 144603 192804 206199 224938 274932 289206 337407 412398 433809 449876 578412 674814 824796 867618 1012221 1349628 1735236 2024442 3036663 4048884 6073326 12146652 17529097 35058194 52587291 70116388 105174582 122703679 157761873 210349164 245407358 315523746 368111037 473285619 490814716 631047492 736222074 946571238 1104333111 1472444148 1893142476 2208666222 3312999333 4417332444 6625998666 13251997332