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739868344336 = 2411211321732
BaseRepresentation
bin10101100010000111001…
…01110000000000010000
32121201201200211010121201
422301003211300000100
544110222244004321
61323520230200544
7104311425106402
oct12610345600020
92551650733551
10739868344336
1126585a434900
12bb4844b3154
1354a00174234
1427b4a200b72
15143a4235291
hexac43970010

739868344336 has 135 divisors (see below), whose sum is σ = 1598969280727. Its totient is φ = 331400903680.

The previous prime is 739868344333. The next prime is 739868344373. The reversal of 739868344336 is 633443868937.

The square root of 739868344336 is 860156.

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

It can be written as a sum of positive squares in 4 ways, for example, as 21713790736 + 718154553600 = 147356^2 + 847440^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (739868344333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4276695546 + ... + 4276695718.

Almost surely, 2739868344336 is an apocalyptic number.

739868344336 is the 860156-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 739868344336

739868344336 is an abundant number, since it is smaller than the sum of its proper divisors (859100936391).

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

739868344336 is a wasteful number, since it uses less digits than its factorization.

739868344336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 602 (or 299 counting only the distinct ones).

The product of its digits is 188116992, while the sum is 64.

Multiplying 739868344336 by its sum of digits (64), we get a square (47351574037504 = 68812482).

The spelling of 739868344336 in words is "seven hundred thirty-nine billion, eight hundred sixty-eight million, three hundred forty-four thousand, three hundred thirty-six".

Divisors: 1 2 4 8 11 16 22 44 88 113 121 173 176 226 242 346 452 484 692 904 968 1243 1384 1808 1903 1936 2486 2768 3806 4972 7612 9944 12769 13673 15224 19549 19888 20933 25538 27346 29929 30448 39098 41866 51076 54692 59858 78196 83732 102152 109384 119716 140459 156392 167464 204304 215039 218768 239432 280918 312784 329219 334928 430078 478864 561836 658438 860156 1123672 1316876 1545049 1720312 2209037 2247344 2365429 2633752 3090098 3381977 3440624 3621409 4418074 4730858 5267504 6180196 6763954 7242818 8836148 9461716 12360392 13527908 14485636 17672296 18923432 24299407 24720784 27055816 28971272 35344592 37201747 37846864 48598814 54111632 57942544 74403494 97197628 148806988 194395256 267293477 297613976 382163401 388790512 409219217 534586954 595227952 764326802 818438434 1069173908 1528653604 1636876868 2138347816 3057307208 3273753736 4203797411 4276695632 6114614416 6547507472 8407594822 16815189644 33630379288 46241771521 67260758576 92483543042 184967086084 369934172168 739868344336