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6014464020 = 22325313106753
BaseRepresentation
bin1011001100111110…
…10111000000010100
3120112011021102120200
411212133113000110
544304200322040
62432450500500
7302021046345
oct54637270024
916464242520
106014464020
11260700a924
1211ba294730
1374b091466
14410ad60cc
15253043630
hex1667d7014

6014464020 has 72 divisors (see below), whose sum is σ = 18302332776. Its totient is φ = 1598717952.

The previous prime is 6014464007. The next prime is 6014464037. The reversal of 6014464020 is 204644106.

6014464020 is a `hidden beast` number, since 6 + 0 + 14 + 4 + 640 + 2 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 21846276 + 5992617744 = 4674^2 + 77412^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2964 + ... + 109716.

Almost surely, 26014464020 is an apocalyptic number.

6014464020 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6014464020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9151166388).

6014464020 is an abundant number, since it is smaller than the sum of its proper divisors (12287868756).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6014464020 is a wasteful number, since it uses less digits than its factorization.

6014464020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107081 (or 107076 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 6014464020 is about 77552.9755715408. The cubic root of 6014464020 is about 1818.5795804467.

The spelling of 6014464020 in words is "six billion, fourteen million, four hundred sixty-four thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 313 626 939 1252 1565 1878 2817 3130 3756 4695 5634 6260 9390 11268 14085 18780 28170 56340 106753 213506 320259 427012 533765 640518 960777 1067530 1281036 1601295 1921554 2135060 3202590 3843108 4803885 6405180 9607770 19215540 33413689 66827378 100241067 133654756 167068445 200482134 300723201 334136890 400964268 501205335 601446402 668273780 1002410670 1202892804 1503616005 2004821340 3007232010 6014464020