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4269163680 = 253252964697
BaseRepresentation
bin1111111001110110…
…0100010010100000
3102000112011222121100
43332131210102200
532220401214210
61543342554400
7210536202225
oct37635442240
912015158540
104269163680
1118a0916951
129b1898a00
13530613972
142c6dbb94c
1519ebe25c0
hexfe7644a0

4269163680 has 72 divisors (see below), whose sum is σ = 14568525972. Its totient is φ = 1138443264.

The previous prime is 4269163669. The next prime is 4269163733. The reversal of 4269163680 is 863619624.

4269163680 is a `hidden beast` number, since 4 + 2 + 6 + 9 + 1 + 636 + 8 + 0 = 666.

4269163680 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 3433491216 + 835672464 = 58596^2 + 28908^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×42691636802 = 36451517053262284800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1480909 + ... + 1483788.

Almost surely, 24269163680 is an apocalyptic number.

4269163680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4269163680 is an abundant number, since it is smaller than the sum of its proper divisors (10299362292).

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

4269163680 is a wasteful number, since it uses less digits than its factorization.

4269163680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2964718 (or 2964707 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 4269163680 is about 65338.8374552226. The cubic root of 4269163680 is about 1622.2368733552.

The spelling of 4269163680 in words is "four billion, two hundred sixty-nine million, one hundred sixty-three thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 2964697 5929394 8894091 11858788 14823485 17788182 23717576 26682273 29646970 35576364 44470455 47435152 53364546 59293940 71152728 88940910 94870304 106729092 118587880 133411365 142305456 177881820 213458184 237175760 266822730 284610912 355763640 426916368 474351520 533645460 711527280 853832736 1067290920 1423054560 2134581840 4269163680