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2081295072 = 253219873637
BaseRepresentation
bin111110000001110…
…0000101011100000
312101001022202002200
41330003200223200
513230302420242
6542305213200
7102401500443
oct17403405340
95331282080
102081295072
1197892287a
124a1031200
1327226c05c
1415a5bb65a
15c2ac004c
hex7c0e0ae0

2081295072 has 72 divisors (see below), whose sum is σ = 5923289736. Its totient is φ = 693225216.

The previous prime is 2081295067. The next prime is 2081295077. The reversal of 2081295072 is 2705921802.

2081295072 is a `hidden beast` number, since 20 + 8 + 129 + 507 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (2081295067) and next prime (2081295077).

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2081295077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 570438 + ... + 574074.

It is an arithmetic number, because the mean of its divisors is an integer number (82267913).

Almost surely, 22081295072 is an apocalyptic number.

It is an amenable number.

2081295072 is an abundant number, since it is smaller than the sum of its proper divisors (3841994664).

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

2081295072 is a wasteful number, since it uses less digits than its factorization.

2081295072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5640 (or 5629 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 2081295072 is about 45621.2129606393. The cubic root of 2081295072 is about 1276.7657343773.

The spelling of 2081295072 in words is "two billion, eighty-one million, two hundred ninety-five thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 1987 3637 3974 5961 7274 7948 10911 11922 14548 15896 17883 21822 23844 29096 31792 32733 35766 43644 47688 58192 63584 65466 71532 87288 95376 116384 130932 143064 174576 190752 261864 286128 349152 523728 572256 1047456 7226719 14453438 21680157 28906876 43360314 57813752 65040471 86720628 115627504 130080942 173441256 231255008 260161884 346882512 520323768 693765024 1040647536 2081295072