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5645144190 = 235759673677
BaseRepresentation
bin1010100000111101…
…00001000001111110
3112120102100001000110
411100132201001332
543030124103230
62332055010450
7256614635220
oct52036410176
915512301013
105645144190
11243759a424
121116669a26
136bc70260a
143b7a3a410
152308e04b0
hex1507a107e

5645144190 has 128 divisors (see below), whose sum is σ = 15792952320. Its totient is φ = 1264693248.

The previous prime is 5645144171. The next prime is 5645144201. The reversal of 5645144190 is 914415465.

It is a super-2 number, since 2×56451441902 = 63735305851781512200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8338132 + ... + 8338808.

It is an arithmetic number, because the mean of its divisors is an integer number (123382440).

Almost surely, 25645144190 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5645144190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7896476160).

5645144190 is an abundant number, since it is smaller than the sum of its proper divisors (10147808130).

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

5645144190 is a wasteful number, since it uses less digits than its factorization.

5645144190 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1426.

The product of its (nonzero) digits is 86400, while the sum is 39.

The square root of 5645144190 is about 75134.1745812117. The cubic root of 5645144190 is about 1780.5671077320.

The spelling of 5645144190 in words is "five billion, six hundred forty-five million, one hundred forty-four thousand, one hundred ninety".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 59 70 105 118 177 210 295 354 413 590 673 677 826 885 1239 1346 1354 1770 2019 2031 2065 2478 3365 3385 4038 4062 4130 4711 4739 6195 6730 6770 9422 9478 10095 10155 12390 14133 14217 20190 20310 23555 23695 28266 28434 39707 39943 47110 47390 70665 71085 79414 79886 119121 119829 141330 142170 198535 199715 238242 239658 277949 279601 397070 399430 455621 555898 559202 595605 599145 833847 838803 911242 1191210 1198290 1366863 1389745 1398005 1667694 1677606 2278105 2733726 2779490 2796010 3189347 4169235 4194015 4556210 6378694 6834315 8338470 8388030 9568041 13668630 15946735 19136082 26881639 31893470 47840205 53763278 80644917 95680410 134408195 161289834 188171473 268816390 376342946 403224585 564514419 806449170 940857365 1129028838 1881714730 2822572095 5645144190