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6898065040 = 2451572572137
BaseRepresentation
bin1100110110010100…
…00001111010010000
3122210201221000022101
412123022001322100
5103111401040130
63100253250144
7332640404536
oct63312017220
918721830271
106898065040
112a1a8613a9
121406193954
1385c1657b9
144961c4156
152a58d11ca
hex19b281e90

6898065040 has 80 divisors (see below), whose sum is σ = 16210538352. Its totient is φ = 2729705472.

The previous prime is 6898065029. The next prime is 6898065089. The reversal of 6898065040 is 405608986.

It can be written as a sum of positive squares in 8 ways, for example, as 120824064 + 6777240976 = 10992^2 + 82324^2 .

It is a tau number, because it is divible by the number of its divisors (80).

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, 3226852 + ... + 3228988.

Almost surely, 26898065040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6898065040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8105269176).

6898065040 is an abundant number, since it is smaller than the sum of its proper divisors (9312473312).

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

6898065040 is a wasteful number, since it uses less digits than its factorization.

6898065040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2564 (or 2558 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 46.

The square root of 6898065040 is about 83054.5907220065. The cubic root of 6898065040 is about 1903.6002871236.

The spelling of 6898065040 in words is "six billion, eight hundred ninety-eight million, sixty-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 157 257 314 514 628 785 1028 1256 1285 1570 2056 2137 2512 2570 3140 4112 4274 5140 6280 8548 10280 10685 12560 17096 20560 21370 34192 40349 42740 80698 85480 161396 170960 201745 322792 335509 403490 549209 645584 671018 806980 1098418 1342036 1613960 1677545 2196836 2684072 2746045 3227920 3355090 4393672 5368144 5492090 6710180 8787344 10984180 13420360 21968360 26840720 43936720 86225813 172451626 344903252 431129065 689806504 862258130 1379613008 1724516260 3449032520 6898065040