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6411619921 = 717421127979
BaseRepresentation
bin1011111100010100…
…11000111001010001
3121112211121001001111
411332022120321101
5101112333314141
62540115133321
7314612604310
oct57612307121
917484531044
106411619921
1127a0212a43
1212ab2a4241
137b2448355
1444b75a277
15277d44381
hex17e298e51

6411619921 has 16 divisors (see below), whose sum is σ = 7777088640. Its totient is φ = 5160072960.

The previous prime is 6411619883. The next prime is 6411619967. The reversal of 6411619921 is 1299161146.

It is not a de Polignac number, because 6411619921 - 219 = 6411095633 is a prime.

It is a super-4 number, since 4×64116199214 (a number of 40 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (6411619021) 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, 13891 + ... + 114088.

It is an arithmetic number, because the mean of its divisors is an integer number (486068040).

Almost surely, 26411619921 is an apocalyptic number.

It is an amenable number.

6411619921 is a deficient number, since it is larger than the sum of its proper divisors (1365468719).

6411619921 is a wasteful number, since it uses less digits than its factorization.

6411619921 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128424.

The product of its digits is 23328, while the sum is 40.

The square root of 6411619921 is about 80072.5915716483. The cubic root of 6411619921 is about 1857.7584977539.

The spelling of 6411619921 in words is "six billion, four hundred eleven million, six hundred nineteen thousand, nine hundred twenty-one".

Divisors: 1 7 17 119 421 2947 7157 50099 127979 895853 2175643 15229501 53879159 377154113 915945703 6411619921