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5703690384 = 2433715112491
BaseRepresentation
bin1010100111111011…
…10110100010010000
3112201111111111022000
411103331312202100
543140121043014
62341545514000
7261225365640
oct52375664220
915644444260
105703690384
112467648007
1211321a2900
136cb890932
143c171a520
15235b07509
hex153f76890

5703690384 has 160 divisors (see below), whose sum is σ = 18835937280. Its totient is φ = 1618704000.

The previous prime is 5703690373. The next prime is 5703690413. The reversal of 5703690384 is 4830963075.

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 31 ways as a sum of consecutive naturals, for example, 450379 + ... + 462869.

It is an arithmetic number, because the mean of its divisors is an integer number (117724608).

Almost surely, 25703690384 is an apocalyptic number.

5703690384 is a gapful number since it is divisible by the number (54) 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 5703690384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9417968640).

5703690384 is an abundant number, since it is smaller than the sum of its proper divisors (13132246896).

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

5703690384 is a wasteful number, since it uses less digits than its factorization.

5703690384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12666 (or 12654 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 5703690384 is about 75522.7805632181. The cubic root of 5703690384 is about 1786.7014128413.

The spelling of 5703690384 in words is "five billion, seven hundred three million, six hundred ninety thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 144 151 168 189 216 252 302 336 378 432 453 504 604 756 906 1008 1057 1208 1359 1512 1812 2114 2416 2718 3024 3171 3624 4077 4228 5436 6342 7248 8154 8456 9513 10872 12491 12684 16308 16912 19026 21744 24982 25368 28539 32616 37473 38052 49964 50736 57078 65232 74946 76104 87437 99928 112419 114156 149892 152208 174874 199856 224838 228312 262311 299784 337257 349748 449676 456624 524622 599568 674514 699496 786933 899352 1049244 1349028 1398992 1573866 1798704 1886141 2098488 2360799 2698056 3147732 3772282 4196976 4721598 5396112 5658423 6295464 7544564 9443196 11316846 12590928 13202987 15089128 16975269 18886392 22633692 26405974 30178256 33950538 37772784 39608961 45267384 50925807 52811948 67901076 79217922 90534768 101851614 105623896 118826883 135802152 158435844 203703228 211247792 237653766 271604304 316871688 356480649 407406456 475307532 633743376 712961298 814812912 950615064 1425922596 1901230128 2851845192 5703690384