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380163534336 = 2932174147387
BaseRepresentation
bin1011000100000111000…
…00110010111000000000
31100100021020202111200100
411202003200302320000
522212033331044321
6450351131522400
736315543503415
oct5420340627000
91310236674610
10380163534336
1113725444a123
1261817bb9400
1329b06ac0ab1
14145858ca10c
159d501d2326
hex5883832e00

380163534336 has 120 divisors (see below), whose sum is σ = 1097831066904. Its totient is φ = 126645719040.

The previous prime is 380163534293. The next prime is 380163534343. The reversal of 380163534336 is 633435361083.

380163534336 is a `hidden beast` number, since 3 + 8 + 0 + 1 + 635 + 3 + 4 + 3 + 3 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 380163534291 and 380163534300.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 7998835 + ... + 8046221.

Almost surely, 2380163534336 is an apocalyptic number.

380163534336 is a gapful number since it is divisible by the number (36) 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 380163534336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (548915533452).

380163534336 is an abundant number, since it is smaller than the sum of its proper divisors (717667532568).

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

380163534336 is a wasteful number, since it uses less digits than its factorization.

380163534336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49152 (or 49133 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 45.

The spelling of 380163534336 in words is "three hundred eighty billion, one hundred sixty-three million, five hundred thirty-four thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1152 1536 1741 2304 3482 4608 5223 6964 10446 13928 15669 20892 27856 31338 41784 47387 55712 62676 83568 94774 111424 125352 142161 167136 189548 222848 250704 284322 334272 379096 426483 445696 501408 568644 668544 758192 852966 891392 1002816 1137288 1337088 1516384 1705932 2005632 2274576 2674176 3032768 3411864 4011264 4549152 6065536 6823728 8022528 9098304 12131072 13647456 18196608 24262144 27294912 36393216 54589824 72786432 82500767 109179648 165001534 218359296 247502301 330003068 495004602 660006136 742506903 990009204 1320012272 1485013806 1980018408 2640024544 2970027612 3960036816 5280049088 5940055224 7920073632 10560098176 11880110448 15840147264 21120196352 23760220896 31680294528 42240392704 47520441792 63360589056 95040883584 126721178112 190081767168 380163534336