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2045161152 = 26326158207
BaseRepresentation
bin111100111100110…
…1010111011000000
312021112022221200100
41321321222323000
513142030124102
6534534522400
7101452403646
oct17171527300
95245287610
102045161152
1195a492931
12490b06400
1326792a138
14155893196
15be833a1c
hex79e6aec0

2045161152 has 84 divisors (see below), whose sum is σ = 5958287296. Its totient is φ = 670533120.

The previous prime is 2045161133. The next prime is 2045161187. The reversal of 2045161152 is 2511615402.

2045161152 is a `hidden beast` number, since 2 + 0 + 45 + 1 + 611 + 5 + 2 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6033 + ... + 64239.

Almost surely, 22045161152 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 2045161152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2979143648).

2045161152 is an abundant number, since it is smaller than the sum of its proper divisors (3913126144).

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

2045161152 is a wasteful number, since it uses less digits than its factorization.

2045161152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58286 (or 58273 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 2045161152 is about 45223.4579836615. The cubic root of 2045161152 is about 1269.3338006770. Note that the first 3 decimals are identical.

Adding to 2045161152 its reverse (2511615402), we get a palindrome (4556776554).

The spelling of 2045161152 in words is "two billion, forty-five million, one hundred sixty-one thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 61 64 72 96 122 144 183 192 244 288 366 488 549 576 732 976 1098 1464 1952 2196 2928 3904 4392 5856 8784 11712 17568 35136 58207 116414 174621 232828 349242 465656 523863 698484 931312 1047726 1396968 1862624 2095452 2793936 3550627 3725248 4190904 5587872 7101254 8381808 10651881 11175744 14202508 16763616 21303762 28405016 31955643 33527232 42607524 56810032 63911286 85215048 113620064 127822572 170430096 227240128 255645144 340860192 511290288 681720384 1022580576 2045161152