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3663396352 = 29711432161
BaseRepresentation
bin1101101001011010…
…1111111000000000
3100110022022211001101
43122112233320000
530000312140402
61403303144144
7156532232560
oct33226577000
910408284041
103663396352
11160a9899a0
12862a45054
13464c78c65
1426a772da0
15166935b87
hexda5afe00

3663396352 has 160 divisors (see below), whose sum is σ = 9342330624. Its totient is φ = 1393459200.

The previous prime is 3663396337. The next prime is 3663396367. The reversal of 3663396352 is 2536933663.

3663396352 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3663396337) and next prime (3663396367).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1694152 + ... + 1696312.

Almost surely, 23663396352 is an apocalyptic number.

3663396352 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3663396352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4671165312).

3663396352 is an abundant number, since it is smaller than the sum of its proper divisors (5678934272).

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

3663396352 is a wasteful number, since it uses less digits than its factorization.

3663396352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2240 (or 2224 counting only the distinct ones).

The product of its digits is 1574640, while the sum is 46.

The square root of 3663396352 is about 60525.9973234642. The cubic root of 3663396352 is about 1541.5630882652.

The spelling of 3663396352 in words is "three billion, six hundred sixty-three million, three hundred ninety-six thousand, three hundred fifty-two".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 43 44 56 64 77 86 88 112 128 154 172 176 224 256 301 308 344 352 448 473 512 602 616 688 704 896 946 1204 1232 1376 1408 1792 1892 2161 2408 2464 2752 2816 3311 3584 3784 4322 4816 4928 5504 5632 6622 7568 8644 9632 9856 11008 13244 15127 15136 17288 19264 19712 22016 23771 26488 30254 30272 34576 38528 39424 47542 52976 60508 60544 69152 77056 92923 95084 105952 121016 121088 138304 154112 166397 185846 190168 211904 242032 242176 276608 332794 371692 380336 423808 484064 553216 650461 665588 743384 760672 847616 968128 1022153 1106432 1300922 1331176 1486768 1521344 1695232 1936256 2044306 2601844 2662352 2973536 3042688 3872512 4088612 5203688 5324704 5947072 6085376 7155071 7745024 8177224 10407376 10649408 11894144 12170752 14310142 16354448 20814752 21298816 23788288 28620284 32708896 41629504 42597632 47576576 57240568 65417792 83259008 85195264 114481136 130835584 166518016 228962272 261671168 333036032 457924544 523342336 915849088 1831698176 3663396352