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16296149472 = 2537111232129
BaseRepresentation
bin11110010110101001…
…11000000111100000
31120001201002011111120
433023110320013200
5231333303240342
611253015012240
71114555661601
oct171324700740
946051064446
1016296149472
116a0282a329
1231a966a080
1316c92364c5
14b08421da8
156559e3aec
hex3cb5381e0

16296149472 has 96 divisors (see below), whose sum is σ = 43438913280. Its totient is φ = 5348259840.

The previous prime is 16296149453. The next prime is 16296149563. The reversal of 16296149472 is 27494169261.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×162961494722 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7653304 + ... + 7655432.

It is an arithmetic number, because the mean of its divisors is an integer number (452488680).

Almost surely, 216296149472 is an apocalyptic number.

16296149472 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 16296149472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21719456640).

16296149472 is an abundant number, since it is smaller than the sum of its proper divisors (27142763808).

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

16296149472 is a wasteful number, since it uses less digits than its factorization.

16296149472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3336 (or 3328 counting only the distinct ones).

The product of its digits is 1306368, while the sum is 51.

The spelling of 16296149472 in words is "sixteen billion, two hundred ninety-six million, one hundred forty-nine thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 71 96 142 213 284 426 568 852 1123 1136 1704 2129 2246 2272 3369 3408 4258 4492 6387 6738 6816 8516 8984 12774 13476 17032 17968 25548 26952 34064 35936 51096 53904 68128 79733 102192 107808 151159 159466 204384 239199 302318 318932 453477 478398 604636 637864 906954 956796 1209272 1275728 1813908 1913592 2390867 2418544 2551456 3627816 3827184 4781734 4837088 7172601 7255632 7654368 9563468 14345202 14511264 19126936 28690404 38253872 57380808 76507744 114761616 169751557 229523232 339503114 509254671 679006228 1018509342 1358012456 2037018684 2716024912 4074037368 5432049824 8148074736 16296149472