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2190915648 = 26331267891
BaseRepresentation
bin1000001010010110…
…1011100001000000
312122200121001021000
42002211223201000
513441333300043
61001222532000
7105202322115
oct20245534100
95580531230
102190915648
11a24795399
12511897000
1328bba07bc
1416ad9490c
15cc5252d3
hex8296b840

2190915648 has 56 divisors (see below), whose sum is σ = 6440891360. Its totient is φ = 730304640.

The previous prime is 2190915619. The next prime is 2190915653. The reversal of 2190915648 is 8465190912.

It is a super-3 number, since 3×21909156483 (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 632218 + ... + 635673.

Almost surely, 22190915648 is an apocalyptic number.

It is an amenable number.

2190915648 is an abundant number, since it is smaller than the sum of its proper divisors (4249975712).

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

2190915648 is a wasteful number, since it uses less digits than its factorization.

2190915648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1267912 (or 1267896 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The square root of 2190915648 is about 46807.2179049343. The cubic root of 2190915648 is about 1298.7988210439.

The spelling of 2190915648 in words is "two billion, one hundred ninety million, nine hundred fifteen thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 576 864 1728 1267891 2535782 3803673 5071564 7607346 10143128 11411019 15214692 20286256 22822038 30429384 34233057 40572512 45644076 60858768 68466114 81145024 91288152 121717536 136932228 182576304 243435072 273864456 365152608 547728912 730305216 1095457824 2190915648