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10292433098740 = 2251339586281149
BaseRepresentation
bin1001010111000110010011…
…0100011001011111110100
31100102221120100200212110021
42111301210310121133310
52322112400333124430
633520140053134524
72111414041564222
oct225614464313764
940387510625407
1010292433098740
113308aa6185411
1211a28ab02a444
135987593a3b60
14278229305b12
1512cae315707a
hex95c64d197f4

10292433098740 has 24 divisors (see below), whose sum is σ = 23276733316200. Its totient is φ = 3800282990208.

The previous prime is 10292433098711. The next prime is 10292433098741. The reversal of 10292433098740 is 4789033429201.

It can be written as a sum of positive squares in 4 ways, for example, as 2202891197796 + 8089541900944 = 1484214^2 + 2844212^2 .

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10292433098741) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 19793140315 + ... + 19793140834.

It is an arithmetic number, because the mean of its divisors is an integer number (969863888175).

Almost surely, 210292433098740 is an apocalyptic number.

10292433098740 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10292433098740 is an abundant number, since it is smaller than the sum of its proper divisors (12984300217460).

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

10292433098740 is a wasteful number, since it uses less digits than its factorization.

10292433098740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39586281171 (or 39586281169 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 52.

The spelling of 10292433098740 in words is "ten trillion, two hundred ninety-two billion, four hundred thirty-three million, ninety-eight thousand, seven hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 39586281149 79172562298 158345124596 197931405745 395862811490 514621654937 791725622980 1029243309874 2058486619748 2573108274685 5146216549370 10292433098740