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3146621872384 = 2829238232
BaseRepresentation
bin101101110010100001010…
…001110110100100000000
3102010210222111012010102001
4231302201101312210000
5403023240144404014
610405312123033344
7443223136415554
oct55624121664400
912123874163361
103146621872384
111003525018621
12429a0536b854
1319a957273c83
14ac423b71864
1556cb698b974
hex2dca1476900

3146621872384 has 81 divisors (see below), whose sum is σ = 6506707236393. Its totient is φ = 1518661487616.

The previous prime is 3146621872327. The next prime is 3146621872411. The reversal of 3146621872384 is 4832781266413.

The square root of 3146621872384 is 1773872.

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

It can be written as a sum of positive squares in only one way, i.e., 1650012182784 + 1496609689600 = 1284528^2 + 1223360^2 .

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 8 ways as a sum of consecutive naturals, for example, 823074697 + ... + 823078519.

Almost surely, 23146621872384 is an apocalyptic number.

3146621872384 is the 1773872-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3146621872384

3146621872384 is an abundant number, since it is smaller than the sum of its proper divisors (3360085364009).

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

3146621872384 is an frugal number, since it uses more digits than its factorization.

3146621872384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7720 (or 3854 counting only the distinct ones).

The product of its digits is 9289728, while the sum is 55.

The spelling of 3146621872384 in words is "three trillion, one hundred forty-six billion, six hundred twenty-one million, eight hundred seventy-two thousand, three hundred eighty-four".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 232 256 464 841 928 1682 1856 3364 3712 3823 6728 7424 7646 13456 15292 26912 30584 53824 61168 107648 110867 122336 215296 221734 244672 443468 489344 886936 978688 1773872 3215143 3547744 6430286 7095488 12860572 14190976 14615329 25721144 28381952 29230658 51442288 58461316 102884576 116922632 205769152 233845264 411538304 423844541 467690528 823076608 847689082 935381056 1695378164 1870762112 3390756328 3741524224 6781512656 12291491689 13563025312 24582983378 27126050624 49165966756 54252101248 98331933512 108504202496 196663867024 393327734048 786655468096 1573310936192 3146621872384