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2820098568 = 2337210123743
BaseRepresentation
bin1010100000010111…
…0100101000001000
321021112111211222010
42220011310220020
521233421123233
61143500255520
7126612304500
oct25005645010
97245454863
102820098568
111217965881
126685415a0
1335c3464a1
141ca776a00
151178a9b63
hexa8174a08

2820098568 has 96 divisors (see below), whose sum is σ = 8282856960. Its totient is φ = 797731200.

The previous prime is 2820098543. The next prime is 2820098569. The reversal of 2820098568 is 8658900282.

It is not an unprimeable number, because it can be changed into a prime (2820098569) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 106905 + ... + 130647.

It is an arithmetic number, because the mean of its divisors is an integer number (86279760).

Almost surely, 22820098568 is an apocalyptic number.

2820098568 is a gapful number since it is divisible by the number (28) 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 2820098568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4141428480).

2820098568 is an abundant number, since it is smaller than the sum of its proper divisors (5462758392).

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

2820098568 is a wasteful number, since it uses less digits than its factorization.

2820098568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23867 (or 23856 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 48.

The square root of 2820098568 is about 53104.6002527088. The cubic root of 2820098568 is about 1412.8241048944.

The spelling of 2820098568 in words is "two billion, eight hundred twenty million, ninety-eight thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 101 147 168 196 202 294 303 392 404 588 606 707 808 1176 1212 1414 2121 2424 2828 4242 4949 5656 8484 9898 14847 16968 19796 23743 29694 39592 47486 59388 71229 94972 118776 142458 166201 189944 284916 332402 498603 569832 664804 997206 1163407 1329608 1994412 2326814 2398043 3490221 3988824 4653628 4796086 6980442 7194129 9307256 9592172 13960884 14388258 16786301 19184344 27921768 28776516 33572602 50358903 57553032 67145204 100717806 117504107 134290408 201435612 235008214 352512321 402871224 470016428 705024642 940032856 1410049284 2820098568