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8019414481 = 1317312012969
BaseRepresentation
bin1110111011111111…
…01000110111010001
3202200212221110120011
413131333220313101
5112410432230411
63403431514521
7402504620101
oct73577506721
922625843504
108019414481
113445828881
121679828a41
139aa57cb90
145610bd201
1531e082c21
hex1ddfe8dd1

8019414481 has 16 divisors (see below), whose sum is σ = 8696373840. Its totient is φ = 7351142400.

The previous prime is 8019414463. The next prime is 8019414499. The reversal of 8019414481 is 1844149108.

It is an interprime number because it is at equal distance from previous prime (8019414463) and next prime (8019414499).

It can be written as a sum of positive squares in 8 ways, for example, as 3180960000 + 4838454481 = 56400^2 + 69559^2 .

It is a cyclic number.

It is not a de Polignac number, because 8019414481 - 25 = 8019414449 is a prime.

It is a super-2 number, since 2×80194144812 (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 (8019414881) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2699565 + ... + 2702533.

It is an arithmetic number, because the mean of its divisors is an integer number (543523365).

Almost surely, 28019414481 is an apocalyptic number.

It is an amenable number.

8019414481 is a deficient number, since it is larger than the sum of its proper divisors (676959359).

8019414481 is a wasteful number, since it uses less digits than its factorization.

8019414481 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4356.

The product of its (nonzero) digits is 36864, while the sum is 40.

The square root of 8019414481 is about 89551.1835823514. The cubic root of 8019414481 is about 2001.6165664211.

It can be divided in two parts, 8019 and 414481, that added together give a square (422500 = 6502).

The spelling of 8019414481 in words is "eight billion, nineteen million, four hundred fourteen thousand, four hundred eighty-one".

Divisors: 1 13 173 1201 2249 2969 15613 38597 207773 513637 2701049 3565769 6677281 46354997 616878037 8019414481