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3779664896 = 2107539949
BaseRepresentation
bin1110000101001001…
…0001110000000000
3100202102002212111202
43201102101300000
530220043234041
61423015200332
7162443423120
oct34122216000
910672085452
103779664896
11166a5821a7
128959760a8
13483097607
1427bd9ac80
15171c50a9b
hexe1491c00

3779664896 has 88 divisors (see below), whose sum is σ = 8798824800. Its totient is φ = 1589133312.

The previous prime is 3779664887. The next prime is 3779664899. The reversal of 3779664896 is 6984669773.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3779664899) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 374930 + ... + 384878.

Almost surely, 23779664896 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 3779664896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4399412400).

3779664896 is an abundant number, since it is smaller than the sum of its proper divisors (5019159904).

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

3779664896 is an equidigital number, since it uses as much as digits as its factorization.

3779664896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10029 (or 10011 counting only the distinct ones).

The product of its digits is 82301184, while the sum is 65.

The square root of 3779664896 is about 61478.9793018720. The cubic root of 3779664896 is about 1557.7021967732.

The spelling of 3779664896 in words is "three billion, seven hundred seventy-nine million, six hundred sixty-four thousand, eight hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 32 53 56 64 106 112 128 212 224 256 371 424 448 512 742 848 896 1024 1484 1696 1792 2968 3392 3584 5936 6784 7168 9949 11872 13568 19898 23744 27136 39796 47488 54272 69643 79592 94976 139286 159184 189952 278572 318368 379904 527297 557144 636736 1054594 1114288 1273472 2109188 2228576 2546944 3691079 4218376 4457152 5093888 7382158 8436752 8914304 10187776 14764316 16873504 17828608 29528632 33747008 35657216 59057264 67494016 71314432 118114528 134988032 236229056 269976064 472458112 539952128 944916224 1889832448 3779664896