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2061949536 = 253230723321
BaseRepresentation
bin111101011100110…
…1101101001100000
312022200220220000100
41322321231221200
513210324341121
6540334422400
7102045165453
oct17271555140
95280826010
102061949536
11968a0a229
12496661a00
1326b2577aa
14157bc349a
15c104d026
hex7ae6da60

2061949536 has 72 divisors (see below), whose sum is σ = 5883021144. Its totient is φ = 685048320.

The previous prime is 2061949529. The next prime is 2061949583. The reversal of 2061949536 is 6359491602.

2061949536 is a `hidden beast` number, since 20 + 6 + 1 + 94 + 9 + 536 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 2061949491 and 2061949500.

It is a congruent number.

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, 76756 + ... + 100076.

It is an arithmetic number, because the mean of its divisors is an integer number (81708627).

Almost surely, 22061949536 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 2061949536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2941510572).

2061949536 is an abundant number, since it is smaller than the sum of its proper divisors (3821071608).

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

2061949536 is a wasteful number, since it uses less digits than its factorization.

2061949536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23644 (or 23633 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The square root of 2061949536 is about 45408.6944978602. The cubic root of 2061949536 is about 1272.7975892529.

The spelling of 2061949536 in words is "two billion, sixty-one million, nine hundred forty-nine thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 307 614 921 1228 1842 2456 2763 3684 4912 5526 7368 9824 11052 14736 22104 23321 29472 44208 46642 69963 88416 93284 139926 186568 209889 279852 373136 419778 559704 746272 839556 1119408 1679112 2238816 3358224 6716448 7159547 14319094 21478641 28638188 42957282 57276376 64435923 85914564 114552752 128871846 171829128 229105504 257743692 343658256 515487384 687316512 1030974768 2061949536