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8007077147 = 192383220757
BaseRepresentation
bin1110111010100001…
…00100110100011011
3202200000201122220212
413131100210310123
5112344302432042
63402311241335
7402265014146
oct73520446433
922600648825
108007077147
113439871633
12167567924b
139a7b50494
1455d5cb05d
1531ce47482
hex1dd424d1b

8007077147 has 16 divisors (see below), whose sum is σ = 8900962560. Its totient is φ = 7168388832.

The previous prime is 8007077123. The next prime is 8007077149. The reversal of 8007077147 is 7417707008.

It is a cyclic number.

It is not a de Polignac number, because 8007077147 - 220 = 8006028571 is a prime.

It is a super-2 number, since 2×80070771472 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8007077149) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 74108 + ... + 146649.

It is an arithmetic number, because the mean of its divisors is an integer number (556310160).

Almost surely, 28007077147 is an apocalyptic number.

8007077147 is a deficient number, since it is larger than the sum of its proper divisors (893885413).

8007077147 is a wasteful number, since it uses less digits than its factorization.

8007077147 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220882.

The product of its (nonzero) digits is 76832, while the sum is 41.

The square root of 8007077147 is about 89482.2728086407. The cubic root of 8007077147 is about 2000.5895884257.

The spelling of 8007077147 in words is "eight billion, seven million, seventy-seven thousand, one hundred forty-seven".

Divisors: 1 19 23 83 437 1577 1909 36271 220757 4194383 5077411 18322831 96470809 348133789 421425113 8007077147