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495448923744 = 25326169140813
BaseRepresentation
bin1110011010110110000…
…11101001111001100000
31202100211200120002021200
413031123003221321200
531104134411024434
61015334525521200
750536454236425
oct7153303517140
91670750502250
10495448923744
11181134001555
1280030a13200
133794a300048
1419da0a1dd4c
15cd4b306199
hex735b0e9e60

495448923744 has 144 divisors (see below), whose sum is σ = 1434137678064. Its totient is φ = 162203212800.

The previous prime is 495448923727. The next prime is 495448923751. The reversal of 495448923744 is 447329844594.

495448923744 is a `hidden beast` number, since 4 + 9 + 544 + 89 + 2 + 3 + 7 + 4 + 4 = 666.

495448923744 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12119082 + ... + 12159894.

It is an arithmetic number, because the mean of its divisors is an integer number (9959289431).

Almost surely, 2495448923744 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 495448923744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (717068839032).

495448923744 is an abundant number, since it is smaller than the sum of its proper divisors (938688754320).

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

495448923744 is a wasteful number, since it uses less digits than its factorization.

495448923744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41581 (or 41570 counting only the distinct ones).

The product of its digits is 139345920, while the sum is 63.

The spelling of 495448923744 in words is "four hundred ninety-five billion, four hundred forty-eight million, nine hundred twenty-three thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 61 72 96 122 144 183 244 288 366 488 549 691 732 976 1098 1382 1464 1952 2073 2196 2764 2928 4146 4392 5528 5856 6219 8292 8784 11056 12438 16584 17568 22112 24876 33168 40813 42151 49752 66336 81626 84302 99504 122439 126453 163252 168604 199008 244878 252906 326504 337208 367317 379359 489756 505812 653008 674416 734634 758718 979512 1011624 1306016 1348832 1469268 1517436 1959024 2023248 2489593 2938536 3034872 3918048 4046496 4979186 5877072 6069744 7468779 9958372 11754144 12139488 14937558 19916744 22406337 28201783 29875116 39833488 44812674 56403566 59750232 79666976 84605349 89625348 112807132 119500464 169210698 179250696 225614264 239000928 253816047 338421396 358501392 451228528 507632094 676842792 717002784 902457056 1015264188 1353685584 1720308763 2030528376 2707371168 3440617526 4061056752 5160926289 6881235052 8122113504 10321852578 13762470104 15482778867 20643705156 27524940208 30965557734 41287410312 55049880416 61931115468 82574820624 123862230936 165149641248 247724461872 495448923744