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3778806784 = 2101721132
BaseRepresentation
bin1110000100111100…
…0000010000000000
3100202100111021101211
43201033000100000
530214333304114
61422544535504
7162433220254
oct34117002000
910670437354
103778806784
11166a046515
12895621594
13482b56b5c
1427bc16264
15171b316c4
hexe13c0400

3778806784 has 99 divisors (see below), whose sum is σ = 8096050807. Its totient is φ = 1762525184.

The previous prime is 3778806769. The next prime is 3778806799. The reversal of 3778806784 is 4876088773.

The square root of 3778806784 is 61472.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (3778806769) and next prime (3778806799).

It can be written as a sum of positive squares in 4 ways, for example, as 461046784 + 3317760000 = 21472^2 + 57600^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 33440712 + ... + 33440824.

Almost surely, 23778806784 is an apocalyptic number.

3778806784 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

3778806784 is the 61472-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3778806784

3778806784 is an abundant number, since it is smaller than the sum of its proper divisors (4317244023).

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

3778806784 is an equidigital number, since it uses as much as digits as its factorization.

3778806784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 12644352, while the sum is 58.

The cubic root of 3778806784 is about 1557.5843041245.

The spelling of 3778806784 in words is "three billion, seven hundred seventy-eight million, eight hundred six thousand, seven hundred eighty-four".

Divisors: 1 2 4 8 16 17 32 34 64 68 113 128 136 226 256 272 289 452 512 544 578 904 1024 1088 1156 1808 1921 2176 2312 3616 3842 4352 4624 7232 7684 8704 9248 12769 14464 15368 17408 18496 25538 28928 30736 32657 36992 51076 57856 61472 65314 73984 102152 115712 122944 130628 147968 204304 217073 245888 261256 295936 408608 434146 491776 522512 817216 868292 983552 1045024 1634432 1736584 1967104 2090048 3268864 3473168 3690241 4180096 6537728 6946336 7380482 8360192 13075456 13892672 14760964 16720384 27785344 29521928 33440768 55570688 59043856 111141376 118087712 222282752 236175424 472350848 944701696 1889403392 3778806784