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2053064016 = 24338775419
BaseRepresentation
bin111101001011111…
…0100010101010000
312022002012110101000
41322113310111100
513201041022031
6535420142000
7101606520243
oct17227642520
95262173330
102053064016
119639a0423
12493697900
132694662a3
1415694d25a
15c03953e6
hex7a5f4550

2053064016 has 80 divisors (see below), whose sum is σ = 5900862400. Its totient is φ = 683448192.

The previous prime is 2053064009. The next prime is 2053064033. The reversal of 2053064016 is 6104603502.

2053064016 is a `hidden beast` number, since 2 + 0 + 5 + 3 + 0 + 640 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 376155 + ... + 381573.

It is an arithmetic number, because the mean of its divisors is an integer number (73760780).

Almost surely, 22053064016 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 2053064016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2950431200).

2053064016 is an abundant number, since it is smaller than the sum of its proper divisors (3847798384).

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

2053064016 is a wasteful number, since it uses less digits than its factorization.

2053064016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6313 (or 6301 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 2053064016 is about 45310.7494530823. The cubic root of 2053064016 is about 1270.9666759243.

Adding to 2053064016 its reverse (6104603502), we get a palindrome (8157667518).

The spelling of 2053064016 in words is "two billion, fifty-three million, sixty-four thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 877 1754 2631 3508 5262 5419 7016 7893 10524 10838 14032 15786 16257 21048 21676 23679 31572 32514 42096 43352 47358 48771 63144 65028 86704 94716 97542 126288 130056 146313 189432 195084 260112 292626 378864 390168 585252 780336 1170504 2341008 4752463 9504926 14257389 19009852 28514778 38019704 42772167 57029556 76039408 85544334 114059112 128316501 171088668 228118224 256633002 342177336 513266004 684354672 1026532008 2053064016