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1640253648 = 2431123314357
BaseRepresentation
bin110000111000100…
…0100100011010000
311020022102112000010
41201301010203100
511324401104043
6430432154520
755434632415
oct14161044320
94208375003
101640253648
11771975930
12399398a40
13201a8abb7
14117bb210c
1599001133
hex61c448d0

1640253648 has 160 divisors (see below), whose sum is σ = 4980252672. Its totient is φ = 459993600.

The previous prime is 1640253613. The next prime is 1640253661. The reversal of 1640253648 is 8463520461.

It is a zygodrome in base 15.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 374286 + ... + 378642.

Almost surely, 21640253648 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 1640253648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2490126336).

1640253648 is an abundant number, since it is smaller than the sum of its proper divisors (3339999024).

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

1640253648 is a wasteful number, since it uses less digits than its factorization.

1640253648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4433 (or 4427 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 39.

The square root of 1640253648 is about 40500.0450370120. The cubic root of 1640253648 is about 1179.3345016928.

The spelling of 1640253648 in words is "one billion, six hundred forty million, two hundred fifty-three thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 23 24 31 33 44 46 48 62 66 69 88 92 93 124 132 138 176 184 186 248 253 264 276 341 368 372 496 506 528 552 682 713 744 759 1012 1023 1104 1364 1426 1488 1518 2024 2046 2139 2728 2852 3036 4048 4092 4278 4357 5456 5704 6072 7843 8184 8556 8714 11408 12144 13071 15686 16368 17112 17428 23529 26142 31372 34224 34856 47058 47927 52284 62744 69712 94116 95854 100211 104568 125488 135067 143781 188232 191708 200422 209136 270134 287562 300633 376464 383416 400844 405201 540268 575124 601266 766832 801688 810402 1080536 1102321 1150248 1202532 1485737 1603376 1620804 2161072 2204642 2300496 2405064 2971474 3106541 3241608 3306963 4409284 4457211 4810128 5942948 6213082 6483216 6613926 8818568 8914422 9319623 11885896 12426164 13227852 17637136 17828844 18639246 23771792 24852328 26455704 34171951 35657688 37278492 49704656 52911408 68343902 71315376 74556984 102515853 136687804 149113968 205031706 273375608 410063412 546751216 820126824 1640253648