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2192931531025 = 522327921632
BaseRepresentation
bin11111111010010100111…
…001111010100100010001
321202122100011120002220021
4133322110321322210101
5241412110432443100
64355230245143441
7314301613313554
oct37722471724421
97678304502807
102192931531025
11776020752694
122b50083bab81
1312ba3c326911
14781d1cb069b
153c09ab10a1a
hex1fe94e7a911

2192931531025 has 81 divisors (see below), whose sum is σ = 2896812019899. Its totient is φ = 1646663372640.

The previous prime is 2192931531001. The next prime is 2192931531059. The reversal of 2192931531025 is 5201351392912.

The square root of 2192931531025 is 1480855.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 789455351169 + 1403476179856 = 888513^2 + 1184684^2 .

It is not a de Polignac number, because 2192931531025 - 29 = 2192931530513 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 13453567594 + ... + 13453567756.

Almost surely, 22192931531025 is an apocalyptic number.

2192931531025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2192931531025 is the 1480855-th square number.

2192931531025 is the 740428-th centered octagonal number.

It is an amenable number.

2192931531025 is a deficient number, since it is larger than the sum of its proper divisors (703880488874).

2192931531025 is an frugal number, since it uses more digits than its factorization.

2192931531025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 540 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 145800, while the sum is 43.

The spelling of 2192931531025 in words is "two trillion, one hundred ninety-two billion, nine hundred thirty-one million, five hundred thirty-one thousand, twenty-five".

Divisors: 1 5 23 25 79 115 163 395 529 575 815 1817 1975 2645 3749 4075 6241 9085 12877 13225 18745 26569 31205 41791 45425 64385 86227 93725 132845 143543 156025 208955 296171 321925 431135 611087 664225 717715 1017283 1044775 1480855 2098951 2155675 3055435 3301489 3588575 5086415 6811933 7404275 10494755 14055001 15277175 16507445 23397509 25432075 34059665 48275873 52473775 70275005 82537225 116987545 165817129 170298325 241379365 351375025 538142707 584937725 829085645 1110345079 1206896825 2690713535 3813793967 4145428225 5551725395 13453567675 19068969835 27758626975 87717261241 95344849175 438586306205 2192931531025