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3903088896 = 2833780669
BaseRepresentation
bin1110100010100100…
…0110100100000000
3101002000100110102000
43220221012210000
530443142321041
61443144424000
7165502464630
oct35051064400
911060313360
103903088896
111723212503
1290b178000
134a281cb75
142905286c0
1517c9d0bb6
hexe8a46900

3903088896 has 144 divisors (see below), whose sum is σ = 13191158400. Its totient is φ = 1115154432.

The previous prime is 3903088873. The next prime is 3903088897. The reversal of 3903088896 is 6988803093.

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

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (3903088897) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8050 + ... + 88718.

Almost surely, 23903088896 is an apocalyptic number.

3903088896 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3903088896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6595579200).

3903088896 is an abundant number, since it is smaller than the sum of its proper divisors (9288069504).

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

3903088896 is an equidigital number, since it uses as much as digits as its factorization.

3903088896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80701 (or 80681 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The square root of 3903088896 is about 62474.7060497286. The cubic root of 3903088896 is about 1574.4763719645.

The spelling of 3903088896 in words is "three billion, nine hundred three million, eighty-eight thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 128 144 168 189 192 216 224 252 256 288 336 378 384 432 448 504 576 672 756 768 864 896 1008 1152 1344 1512 1728 1792 2016 2304 2688 3024 3456 4032 5376 6048 6912 8064 12096 16128 24192 48384 80669 161338 242007 322676 484014 564683 645352 726021 968028 1129366 1290704 1452042 1694049 1936056 2178063 2258732 2581408 2904084 3388098 3872112 4356126 4517464 5082147 5162816 5808168 6776196 7744224 8712252 9034928 10164294 10325632 11616336 13552392 15246441 15488448 17424504 18069856 20328588 20651264 23232672 27104784 30492882 30976896 34849008 36139712 40657176 46465344 54209568 60985764 61953792 69698016 72279424 81314352 92930688 108419136 121971528 139396032 144558848 162628704 185861376 216838272 243943056 278792064 325257408 433676544 487886112 557584128 650514816 975772224 1301029632 1951544448 3903088896