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12832202016 = 2532109408773
BaseRepresentation
bin10111111001101101…
…11101110100100000
31020010022001101220100
423330312331310200
5202240020431031
65521154342400
7632664626454
oct137466756440
936108041810
1012832202016
115495497337
1225a158aa00
1312966b0a5a
1489a36a664
15501858de6
hex2fcdbdd20

12832202016 has 72 divisors (see below), whose sum is σ = 36826449660. Its totient is φ = 4238148096.

The previous prime is 12832201999. The next prime is 12832202039. The reversal of 12832202016 is 61020223821.

It can be written as a sum of positive squares in 2 ways, for example, as 12683264400 + 148937616 = 112620^2 + 12204^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 172995 + ... + 235778.

Almost surely, 212832202016 is an apocalyptic number.

12832202016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12832202016 is an abundant number, since it is smaller than the sum of its proper divisors (23994247644).

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

12832202016 is a wasteful number, since it uses less digits than its factorization.

12832202016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408898 (or 408887 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 12832202016 its reverse (61020223821), we get a palindrome (73852425837).

The spelling of 12832202016 in words is "twelve billion, eight hundred thirty-two million, two hundred two thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 109 144 218 288 327 436 654 872 981 1308 1744 1962 2616 3488 3924 5232 7848 10464 15696 31392 408773 817546 1226319 1635092 2452638 3270184 3678957 4905276 6540368 7357914 9810552 13080736 14715828 19621104 29431656 39242208 44556257 58863312 89112514 117726624 133668771 178225028 267337542 356450056 401006313 534675084 712900112 802012626 1069350168 1425800224 1604025252 2138700336 3208050504 4277400672 6416101008 12832202016