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1064198144 = 213373511
BaseRepresentation
bin111111011011100…
…110000000000000
32202011110212102002
4333123212000000
54134413320034
6253333243132
735241351332
oct7733460000
92664425362
101064198144
114a67918a9
122584934a8
1313c626c59
14a149d452
1563662e7e
hex3f6e6000

1064198144 has 56 divisors (see below), whose sum is σ = 2186409648. Its totient is φ = 517570560.

The previous prime is 1064198141. The next prime is 1064198153. The reversal of 1064198144 is 4418914601.

It is a super-2 number, since 2×10641981442 = 2265035379386089472, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1064198098 and 1064198107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1064198141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 301349 + ... + 304859.

Almost surely, 21064198144 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 1064198144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1093204824).

1064198144 is an abundant number, since it is smaller than the sum of its proper divisors (1122211504).

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

1064198144 is an frugal number, since it uses more digits than its factorization.

1064198144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3574 (or 3550 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 38.

The square root of 1064198144 is about 32622.0499662422. The cubic root of 1064198144 is about 1020.9571126379.

The spelling of 1064198144 in words is "one billion, sixty-four million, one hundred ninety-eight thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 37 64 74 128 148 256 296 512 592 1024 1184 2048 2368 3511 4096 4736 7022 8192 9472 14044 18944 28088 37888 56176 75776 112352 129907 151552 224704 259814 303104 449408 519628 898816 1039256 1797632 2078512 3595264 4157024 7190528 8314048 14381056 16628096 28762112 33256192 66512384 133024768 266049536 532099072 1064198144