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3849706116 = 22383832
BaseRepresentation
bin1110010101110101…
…1101101010000100
3100221021220100000000
43211131131222010
530341011043431
61434000321300
7164253650664
oct34535355204
910837810000
103849706116
1116a6071203
128b5313230
1349474bb19
142873d01a4
15177e889e6
hexe575da84

3849706116 has 81 divisors (see below), whose sum is σ = 10131417751. Its totient is φ = 1279884888.

The previous prime is 3849706087. The next prime is 3849706129. The reversal of 3849706116 is 6116079483.

It is a happy number.

The square root of 3849706116 is 62046.

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

It is a tau number, because it is divible by the number of its divisors (81).

It is a Duffinian number.

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 10051261 + ... + 10051643.

Almost surely, 23849706116 is an apocalyptic number.

3849706116 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

3849706116 is the 62046-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3849706116

3849706116 is an abundant number, since it is smaller than the sum of its proper divisors (6281711635).

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

3849706116 is an frugal number, since it uses more digits than its factorization.

3849706116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 794 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The cubic root of 3849706116 is about 1567.2653269252.

The spelling of 3849706116 in words is "three billion, eight hundred forty-nine million, seven hundred six thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 383 486 729 766 972 1149 1458 1532 2187 2298 2916 3447 4374 4596 6561 6894 8748 10341 13122 13788 20682 26244 31023 41364 62046 93069 124092 146689 186138 279207 293378 372276 440067 558414 586756 837621 880134 1116828 1320201 1675242 1760268 2512863 2640402 3350484 3960603 5025726 5280804 7921206 10051452 11881809 15842412 23763618 35645427 47527236 71290854 106936281 142581708 213872562 320808843 427745124 641617686 962426529 1283235372 1924853058 3849706116