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639433248256 = 29113111332411
BaseRepresentation
bin10010100111000010011…
…00010000111000000000
32021010111012110121202101
421103201030100320000
540434024402421011
61205430201400144
764124515634245
oct11234114207000
92233435417671
10639433248256
11227200442670
12a3b14a99054
13483b54857ba
1422d3d4815cc
1511976c032c1
hex94e1310e00

639433248256 has 160 divisors (see below), whose sum is σ = 1451501669376. Its totient is φ = 278777856000.

The previous prime is 639433248239. The next prime is 639433248269. The reversal of 639433248256 is 652842334936.

It is a junction number, because it is equal to n+sod(n) for n = 639433248197 and 639433248206.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19712691 + ... + 19745101.

Almost surely, 2639433248256 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 639433248256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (725750834688).

639433248256 is an abundant number, since it is smaller than the sum of its proper divisors (812068421120).

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

639433248256 is a wasteful number, since it uses less digits than its factorization.

639433248256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32584 (or 32568 counting only the distinct ones).

The product of its digits is 22394880, while the sum is 55.

The spelling of 639433248256 in words is "six hundred thirty-nine billion, four hundred thirty-three million, two hundred forty-eight thousand, two hundred fifty-six".

Divisors: 1 2 4 8 11 16 22 31 32 44 62 64 88 113 124 128 176 226 248 256 341 352 452 496 512 682 704 904 992 1243 1364 1408 1808 1984 2486 2728 2816 3503 3616 3968 4972 5456 5632 7006 7232 7936 9944 10912 14012 14464 15872 19888 21824 28024 28928 32411 38533 39776 43648 56048 57856 64822 77066 79552 87296 112096 129644 154132 159104 174592 224192 259288 308264 318208 356521 448384 518576 616528 636416 713042 896768 1004741 1037152 1233056 1426084 1793536 2009482 2074304 2466112 2852168 3662443 4018964 4148608 4932224 5704336 7324886 8037928 8297216 9864448 11052151 11408672 14649772 16075856 16594432 19728896 22104302 22817344 29299544 32151712 40286873 44208604 45634688 58599088 64303424 80573746 88417208 91269376 113535733 117198176 128606848 161147492 176834416 182538752 227071466 234396352 257213696 322294984 353668832 454142932 468792704 514427392 644589968 707337664 908285864 937585408 1248893063 1289179936 1414675328 1816571728 1875170816 2497786126 2578359872 2829350656 3633143456 4995572252 5156719744 5658701312 7266286912 9991144504 10313439488 14532573824 19982289008 20626878976 29065147648 39964578016 58130295296 79929156032 159858312064 319716624128 639433248256