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8497023680 = 265411514289
BaseRepresentation
bin1111110100111011…
…00100101011000000
3210221011122112012202
413322131210223000
5114400214224210
63523052412332
7420364336535
oct77235445300
923834575182
108497023680
113670391722
1217917770a8
13a554c5582
145a86c6d8c
1534ae769a5
hex1fa764ac0

8497023680 has 112 divisors (see below), whose sum is σ = 20869168320. Its totient is φ = 3293184000.

The previous prime is 8497023677. The next prime is 8497023697. The reversal of 8497023680 is 863207948.

It is a super-2 number, since 2×84970236802 (a number of 21 digits) contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 1978976 + ... + 1983264.

It is an arithmetic number, because the mean of its divisors is an integer number (186331860).

Almost surely, 28497023680 is an apocalyptic number.

8497023680 is a gapful number since it is divisible by the number (80) 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 8497023680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10434584160).

8497023680 is an abundant number, since it is smaller than the sum of its proper divisors (12372144640).

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

8497023680 is a wasteful number, since it uses less digits than its factorization.

8497023680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4498 (or 4488 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 47.

The square root of 8497023680 is about 92179.3017981803. The cubic root of 8497023680 is about 2040.5893209602.

The spelling of 8497023680 in words is "eight billion, four hundred ninety-seven million, twenty-three thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 41 64 80 82 151 160 164 205 302 320 328 410 604 656 755 820 1208 1312 1510 1640 2416 2624 3020 3280 4289 4832 6040 6191 6560 8578 9664 12080 12382 13120 17156 21445 24160 24764 30955 34312 42890 48320 49528 61910 68624 85780 99056 123820 137248 171560 175849 198112 247640 274496 343120 351698 396224 495280 647639 686240 703396 879245 990560 1295278 1372480 1406792 1758490 1981120 2590556 2813584 3238195 3516980 5181112 5627168 6476390 7033960 10362224 11254336 12952780 14067920 20724448 25905560 26553199 28135840 41448896 51811120 53106398 56271680 103622240 106212796 132765995 207244480 212425592 265531990 424851184 531063980 849702368 1062127960 1699404736 2124255920 4248511840 8497023680