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5914198016 = 2151011787
BaseRepresentation
bin1011000001000001…
…11000000000000000
3120021011121101110222
411200200320000000
544103013314031
62414505442212
7266362565546
oct54040700000
916234541428
105914198016
112565457561
1211907a0368
1373338686c
14401675d96
15249339e7b
hex160838000

5914198016 has 64 divisors (see below), whose sum is σ = 11952011160. Its totient is φ = 2926182400.

The previous prime is 5914197997. The next prime is 5914198019. The reversal of 5914198016 is 6108914195.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5914198019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3308675 + ... + 3310461.

Almost surely, 25914198016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5914198016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5976005580).

5914198016 is an abundant number, since it is smaller than the sum of its proper divisors (6037813144).

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

5914198016 is an equidigital number, since it uses as much as digits as its factorization.

5914198016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1918 (or 1890 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 44.

The square root of 5914198016 is about 76903.8231559394. The cubic root of 5914198016 is about 1808.4171642922.

The spelling of 5914198016 in words is "five billion, nine hundred fourteen million, one hundred ninety-eight thousand, sixteen".

Divisors: 1 2 4 8 16 32 64 101 128 202 256 404 512 808 1024 1616 1787 2048 3232 3574 4096 6464 7148 8192 12928 14296 16384 25856 28592 32768 51712 57184 103424 114368 180487 206848 228736 360974 413696 457472 721948 827392 914944 1443896 1654784 1829888 2887792 3309568 3659776 5775584 7319552 11551168 14639104 23102336 29278208 46204672 58556416 92409344 184818688 369637376 739274752 1478549504 2957099008 5914198016