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2758304164 = 2271123401971
BaseRepresentation
bin1010010001101000…
…0110000110100100
321010020020100222111
42210122012012210
521122111213124
61133412010404
7125232125050
oct24432060644
97106210874
102758304164
111195a99820
1264b900a04
1334c5bb855
141c248cc60
15112250494
hexa46861a4

2758304164 has 96 divisors (see below), whose sum is σ = 6301919232. Its totient is φ = 1024320000.

The previous prime is 2758304137. The next prime is 2758304177. The reversal of 2758304164 is 4614038572.

It is a super-2 number, since 2×27583041642 = 15216483722279477792, which contains 22 as substring.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2840199 + ... + 2841169.

It is an arithmetic number, because the mean of its divisors is an integer number (65644992).

Almost surely, 22758304164 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 2758304164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3150959616).

2758304164 is an abundant number, since it is smaller than the sum of its proper divisors (3543615068).

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

2758304164 is a wasteful number, since it uses less digits than its factorization.

2758304164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1417 (or 1415 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 40.

The square root of 2758304164 is about 52519.5598229840. The cubic root of 2758304164 is about 1402.4284660543.

The spelling of 2758304164 in words is "two billion, seven hundred fifty-eight million, three hundred four thousand, one hundred sixty-four".

Divisors: 1 2 4 7 11 14 22 23 28 44 46 77 92 154 161 253 308 322 401 506 644 802 971 1012 1604 1771 1942 2807 3542 3884 4411 5614 6797 7084 8822 9223 10681 11228 13594 17644 18446 21362 22333 27188 30877 36892 42724 44666 61754 64561 74767 89332 101453 123508 129122 149534 156331 202906 245663 258244 299068 312662 389371 405812 491326 625324 710171 778742 982652 1420342 1557484 1719641 2725597 2840684 3439282 4283081 5451194 6878564 8566162 8955533 10902388 17132324 17911066 29981567 35822132 59963134 62688731 98510863 119926268 125377462 197021726 250754924 394043452 689576041 1379152082 2758304164