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84826062848 = 2163143971
BaseRepresentation
bin100111100000000000…
…1110000000000000000
322002221200012110122102
41033000001300000000
52342210433002343
6102545112525532
76062032431452
oct1170001600000
9262850173572
1084826062848
1132a7a11257a
12145340b08a8
137ccac332c7
144169ac02d2
1523170183b8
hex13c0070000

84826062848 has 136 divisors (see below), whose sum is σ = 179380624896. Its totient is φ = 40049049600.

The previous prime is 84826062833. The next prime is 84826062859.

It is a happy number.

84826062848 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×848260628482 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 84826062793 and 84826062802.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 87359003 + ... + 87359973.

Almost surely, 284826062848 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 84826062848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89690312448).

84826062848 is an abundant number, since it is smaller than the sum of its proper divisors (94554562048).

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

84826062848 is an frugal number, since it uses more digits than its factorization.

84826062848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1077 (or 1047 counting only the distinct ones).

The product of its (nonzero) digits is 9437184, while the sum is 56.

The spelling of 84826062848 in words is "eighty-four billion, eight hundred twenty-six million, sixty-two thousand, eight hundred forty-eight".

Divisors: 1 2 4 8 16 31 32 43 62 64 86 124 128 172 248 256 344 496 512 688 971 992 1024 1333 1376 1942 1984 2048 2666 2752 3884 3968 4096 5332 5504 7768 7936 8192 10664 11008 15536 15872 16384 21328 22016 30101 31072 31744 32768 41753 42656 44032 60202 62144 63488 65536 83506 85312 88064 120404 124288 126976 167012 170624 176128 240808 248576 253952 334024 341248 352256 481616 497152 507904 668048 682496 704512 963232 994304 1015808 1294343 1336096 1364992 1409024 1926464 1988608 2031616 2588686 2672192 2729984 2818048 3852928 3977216 5177372 5344384 5459968 7705856 7954432 10354744 10688768 10919936 15411712 15908864 20709488 21377536 21839872 30823424 31817728 41418976 42755072 43679744 61646848 63635456 82837952 85510144 87359488 123293696 165675904 171020288 246587392 331351808 342040576 493174784 662703616 684081152 986349568 1325407232 1368162304 1972699136 2650814464 2736324608 5301628928 10603257856 21206515712 42413031424 84826062848