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3979506453 = 3134114916703
BaseRepresentation
bin1110110100110010…
…0111001100010101
3101021100010212120220
43231030213030111
531122223201303
61454514344553
7200421150426
oct35514471425
911240125526
103979506453
11176236710a
1293088b159
134b55c7760
1429a73b64d
15184578053
hexed327315

3979506453 has 32 divisors (see below), whose sum is σ = 5893171200. Its totient is φ = 2373020160.

The previous prime is 3979506449. The next prime is 3979506457. The reversal of 3979506453 is 3546059793.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3979506449) and next prime (3979506457).

It is not a de Polignac number, because 3979506453 - 22 = 3979506449 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 3979506396 and 3979506405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3979506457) 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 31 ways as a sum of consecutive naturals, for example, 229900 + ... + 246602.

It is an arithmetic number, because the mean of its divisors is an integer number (184161600).

Almost surely, 23979506453 is an apocalyptic number.

It is an amenable number.

3979506453 is a deficient number, since it is larger than the sum of its proper divisors (1913664747).

3979506453 is a wasteful number, since it uses less digits than its factorization.

3979506453 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16909.

The product of its (nonzero) digits is 3061800, while the sum is 51.

The square root of 3979506453 is about 63083.3294381329. The cubic root of 3979506453 is about 1584.6854524801.

The spelling of 3979506453 in words is "three billion, nine hundred seventy-nine million, five hundred six thousand, four hundred fifty-three".

Divisors: 1 3 13 39 41 123 149 447 533 1599 1937 5811 6109 16703 18327 50109 79417 217139 238251 651417 684823 2054469 2488747 7466241 8902699 26708097 32353711 97061133 102038627 306115881 1326502151 3979506453