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741869568 = 21132113659
BaseRepresentation
bin101100001110000…
…000100000000000
31220200221212201200
4230032000200000
53004404311233
6201340501200
724245534016
oct5416004000
91820855650
10741869568
11350847650
1218854a800
13ba90bb9b
14707568b6
15451e3313
hex2c380800

741869568 has 144 divisors (see below), whose sum is σ = 2338081200. Its totient is φ = 224747520.

The previous prime is 741869563. The next prime is 741869591. The reversal of 741869568 is 865968147.

741869568 is a `hidden beast` number, since 7 + 4 + 18 + 69 + 568 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (741869563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 200923 + ... + 204581.

It is an arithmetic number, because the mean of its divisors is an integer number (16236675).

Almost surely, 2741869568 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 741869568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1169040600).

741869568 is an abundant number, since it is smaller than the sum of its proper divisors (1596211632).

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

741869568 is a wasteful number, since it uses less digits than its factorization.

741869568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3698 (or 3675 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 54.

The square root of 741869568 is about 27237.2826838508. The cubic root of 741869568 is about 905.2652552132.

The spelling of 741869568 in words is "seven hundred forty-one million, eight hundred sixty-nine thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 128 132 144 176 192 198 256 264 288 352 384 396 512 528 576 704 768 792 1024 1056 1152 1408 1536 1584 2048 2112 2304 2816 3072 3168 3659 4224 4608 5632 6144 6336 7318 8448 9216 10977 11264 12672 14636 16896 18432 21954 22528 25344 29272 32931 33792 40249 43908 50688 58544 65862 67584 80498 87816 101376 117088 120747 131724 160996 175632 202752 234176 241494 263448 321992 351264 362241 468352 482988 526896 643984 702528 724482 936704 965976 1053792 1287968 1405056 1448964 1873408 1931952 2107584 2575936 2810112 2897928 3746816 3863904 4215168 5151872 5620224 5795856 7493632 7727808 8430336 10303744 11240448 11591712 15455616 16860672 20607488 22480896 23183424 30911232 33721344 41214976 46366848 61822464 67442688 82429952 92733696 123644928 185467392 247289856 370934784 741869568