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8002820023 = 111742795829
BaseRepresentation
bin1110111010000000…
…10101011110110111
3202122201201101020121
413131000111132313
5112342210220043
63402040112411
7402213563542
oct73500253667
922581641217
108002820023
113437424150
121674165707
139a6cbc883
1455cbdd859
1531c8a5ded
hex1dd0157b7

8002820023 has 8 divisors (see below), whose sum is σ = 9243899280. Its totient is φ = 6847332480.

The previous prime is 8002820017. The next prime is 8002820029. The reversal of 8002820023 is 3200282008.

It is an interprime number because it is at equal distance from previous prime (8002820017) and next prime (8002820029).

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 8002820023 - 217 = 8002688951 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 8002820023.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8002820029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21397728 + ... + 21398101.

It is an arithmetic number, because the mean of its divisors is an integer number (1155487410).

Almost surely, 28002820023 is an apocalyptic number.

8002820023 is a deficient number, since it is larger than the sum of its proper divisors (1241079257).

8002820023 is a wasteful number, since it uses less digits than its factorization.

8002820023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42795857.

The product of its (nonzero) digits is 1536, while the sum is 25.

The square root of 8002820023 is about 89458.4821188019. The cubic root of 8002820023 is about 2000.2349743091.

The spelling of 8002820023 in words is "eight billion, two million, eight hundred twenty thousand, twenty-three".

Divisors: 1 11 17 187 42795829 470754119 727529093 8002820023