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475153468944 = 243711149862811
BaseRepresentation
bin1101110101000010101…
…10101000111000010000
31200102110021002011020120
412322201112220320100
530241103242001234
61002141003510240
746220513563320
oct6724126507020
91612407064216
10475153468944
11173569822a10
1278107b28380
1335a646593ab
1418dd73c9280
15c55e678049
hex6ea15a8e10

475153468944 has 160 divisors (see below), whose sum is σ = 1540637107200. Its totient is φ = 122588044800.

The previous prime is 475153468903. The next prime is 475153468963. The reversal of 475153468944 is 449864351574.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 119299 + ... + 982109.

It is an arithmetic number, because the mean of its divisors is an integer number (9628981920).

Almost surely, 2475153468944 is an apocalyptic number.

475153468944 is a gapful number since it is divisible by the number (44) 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 475153468944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (770318553600).

475153468944 is an abundant number, since it is smaller than the sum of its proper divisors (1065483638256).

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

475153468944 is a wasteful number, since it uses less digits than its factorization.

475153468944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 862989 (or 862983 counting only the distinct ones).

The product of its digits is 58060800, while the sum is 60.

The spelling of 475153468944 in words is "four hundred seventy-five billion, one hundred fifty-three million, four hundred sixty-eight thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 44 48 56 66 77 84 88 112 132 149 154 168 176 231 264 298 308 336 447 462 528 596 616 894 924 1043 1192 1232 1639 1788 1848 2086 2384 3129 3278 3576 3696 4172 4917 6258 6556 7152 8344 9834 11473 12516 13112 16688 19668 22946 25032 26224 34419 39336 45892 50064 68838 78672 91784 137676 183568 275352 550704 862811 1725622 2588433 3451244 5176866 6039677 6902488 9490921 10353732 12079354 13804976 18119031 18981842 20707464 24158708 28472763 36238062 37963684 41414928 48317416 56945526 66436447 72476124 75927368 96634832 113891052 128558839 132872894 144952248 151854736 199309341 227782104 257117678 265745788 289904496 385676517 398618682 455564208 514235356 531491576 771353034 797237364 899911873 1028470712 1062983152 1414147229 1542706068 1594474728 1799823746 2056941424 2699735619 2828294458 3085412136 3188949456 3599647492 4242441687 5399471238 5656588916 6170824272 7199294984 8484883374 9899030603 10798942476 11313177832 14398589968 16969766748 19798061206 21597884952 22626355664 29697091809 33939533496 39596122412 43195769904 59394183618 67879066992 79192244824 118788367236 158384489648 237576734472 475153468944