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9742479616 = 283121992
BaseRepresentation
bin10010001001011001…
…00111000100000000
3221010222012020120101
421010230213010000
5124423033321431
64250423052144
7463266465442
oct110454470400
927128166511
109742479616
11414a415151
121a7a8a1054
13bc3543a4c
14685c8a492
153c0490961
hex244b27100

9742479616 has 81 divisors (see below), whose sum is σ = 20195942823. Its totient is φ = 4690414080.

The previous prime is 9742479613. The next prime is 9742479619. The reversal of 9742479616 is 6169742479.

The square root of 9742479616 is 98704.

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

It is an interprime number because it is at equal distance from previous prime (9742479613) and next prime (9742479619).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9742479613) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 48957085 + ... + 48957283.

Almost surely, 29742479616 is an apocalyptic number.

9742479616 is the 98704-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9742479616

9742479616 is an abundant number, since it is smaller than the sum of its proper divisors (10453463207).

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

9742479616 is an frugal number, since it uses more digits than its factorization.

9742479616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476 (or 232 counting only the distinct ones).

The product of its digits is 4572288, while the sum is 55.

The cubic root of 9742479616 is about 2135.7799340301.

The spelling of 9742479616 in words is "nine billion, seven hundred forty-two million, four hundred seventy-nine thousand, six hundred sixteen".

Divisors: 1 2 4 8 16 31 32 62 64 124 128 199 248 256 398 496 796 961 992 1592 1922 1984 3184 3844 3968 6169 6368 7688 7936 12338 12736 15376 24676 25472 30752 39601 49352 50944 61504 79202 98704 123008 158404 191239 197408 246016 316808 382478 394816 633616 764956 789632 1227631 1267232 1529912 1579264 2455262 2534464 3059824 4910524 5068928 6119648 9821048 10137856 12239296 19642096 24478592 38056561 39284192 48957184 76113122 78568384 152226244 157136768 304452488 314273536 608904976 1217809952 2435619904 4871239808 9742479616