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5705600550 = 23521321731301
BaseRepresentation
bin1010101000001010…
…01000111000100110
3112201122002112112220
411110011020320212
543141113204200
62342054453210
7261250542636
oct52405107046
915648075486
105705600550
112468732161
121132964206
136cc0ac200
143c1a966c6
15235d834a0
hex154148e26

5705600550 has 144 divisors (see below), whose sum is σ = 15422481648. Its totient is φ = 1395264000.

The previous prime is 5705600533. The next prime is 5705600567. The reversal of 5705600550 is 550065075.

It is an interprime number because it is at equal distance from previous prime (5705600533) and next prime (5705600567).

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 71 ways as a sum of consecutive naturals, for example, 4384900 + ... + 4386200.

It is an arithmetic number, because the mean of its divisors is an integer number (107100567).

Almost surely, 25705600550 is an apocalyptic number.

5705600550 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 5705600550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7711240824).

5705600550 is an abundant number, since it is smaller than the sum of its proper divisors (9716881098).

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

5705600550 is a wasteful number, since it uses less digits than its factorization.

5705600550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1515 (or 1497 counting only the distinct ones).

The product of its (nonzero) digits is 26250, while the sum is 33.

The square root of 5705600550 is about 75535.4257947885. The cubic root of 5705600550 is about 1786.9008460234.

The spelling of 5705600550 in words is "five billion, seven hundred five million, six hundred thousand, five hundred fifty".

Divisors: 1 2 3 5 6 10 13 15 25 26 30 39 50 65 75 78 130 150 169 173 195 325 338 346 390 507 519 650 845 865 975 1014 1038 1301 1690 1730 1950 2249 2535 2595 2602 3903 4225 4325 4498 5070 5190 6505 6747 7806 8450 8650 11245 12675 12975 13010 13494 16913 19515 22490 25350 25950 29237 32525 33735 33826 39030 50739 56225 58474 65050 67470 84565 87711 97575 101478 112450 146185 168675 169130 175422 195150 219869 225073 253695 292370 337350 422825 438555 439738 450146 507390 659607 675219 730925 845650 877110 1099345 1125365 1268475 1319214 1350438 1461850 2192775 2198690 2250730 2536950 2925949 3298035 3376095 4385550 5496725 5626825 5851898 6596070 6752190 8777847 10993450 11253650 14629745 16490175 16880475 17555694 29259490 32980350 33760950 38037337 43889235 73148725 76074674 87778470 114112011 146297450 190186685 219446175 228224022 380373370 438892350 570560055 950933425 1141120110 1901866850 2852800275 5705600550