Search a number
-
+
3641639716 = 221121322112
BaseRepresentation
bin1101100100001111…
…0000001100100100
3100101210101110120001
43121003300030210
524424224432331
61401204551044
7156146266261
oct33103601444
910353343501
103641639716
1115a9679900
128576b2484
134605cc100
1426790c268
15164a89561
hexd90f0324

3641639716 has 81 divisors (see below), whose sum is σ = 7621295409. Its totient is φ = 1520719200.

The previous prime is 3641639681. The next prime is 3641639723. The reversal of 3641639716 is 6179361463.

The square root of 3641639716 is 60346.

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., 538704100 + 3102935616 = 23210^2 + 55704^2 .

It is a super-2 number, since 2×36416397162 = 26523079642297121312, which contains 22 as substring.

It is an unprimeable number.

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, 17258851 + ... + 17259061.

Almost surely, 23641639716 is an apocalyptic number.

3641639716 is the 60346-th square number.

It is an amenable number.

3641639716 is an abundant number, since it is smaller than the sum of its proper divisors (3979655693).

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

3641639716 is a wasteful number, since it uses less digits than its factorization.

3641639716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474 (or 237 counting only the distinct ones).

The product of its digits is 489888, while the sum is 46.

The cubic root of 3641639716 is about 1538.5052844004.

The spelling of 3641639716 in words is "three billion, six hundred forty-one million, six hundred thirty-nine thousand, seven hundred sixteen".

Divisors: 1 2 4 11 13 22 26 44 52 121 143 169 211 242 286 338 422 484 572 676 844 1573 1859 2321 2743 3146 3718 4642 5486 6292 7436 9284 10972 20449 25531 30173 35659 40898 44521 51062 60346 71318 81796 89042 102124 120692 142636 178084 331903 392249 489731 578773 663806 784498 979462 1157546 1327612 1568996 1958924 2315092 4314739 5387041 6366503 7524049 8629478 10774082 12733006 15048098 17258956 21548164 25466012 30096196 70031533 82764539 140063066 165529078 280126132 331058156 910409929 1820819858 3641639716