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2145061152 = 253213572933
BaseRepresentation
bin111111111011011…
…0000100100100000
312112111022101201100
41333312300210200
513343113424102
6552504034400
7104104501413
oct17766604440
95474271640
102145061152
11a00916213
124ba462a00
13282537270
14164c59b7a
15c84b8a1c
hex7fdb0920

2145061152 has 72 divisors (see below), whose sum is σ = 6569261244. Its totient is φ = 660017664.

The previous prime is 2145061133. The next prime is 2145061181. The reversal of 2145061152 is 2511605412.

2145061152 is a `hidden beast` number, since 2 + 1 + 4 + 506 + 1 + 152 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1946927376 + 198133776 = 44124^2 + 14076^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 282723 + ... + 290210.

Almost surely, 22145061152 is an apocalyptic number.

It is an amenable number.

2145061152 is an abundant number, since it is smaller than the sum of its proper divisors (4424200092).

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

2145061152 is a wasteful number, since it uses less digits than its factorization.

2145061152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 572962 (or 572951 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 2145061152 is about 46314.8048900133. The cubic root of 2145061152 is about 1289.6738457940.

Adding to 2145061152 its reverse (2511605412), we get a palindrome (4656666564).

The spelling of 2145061152 in words is "two billion, one hundred forty-five million, sixty-one thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 208 234 288 312 416 468 624 936 1248 1872 3744 572933 1145866 1718799 2291732 3437598 4583464 5156397 6875196 7448129 9166928 10312794 13750392 14896258 18333856 20625588 22344387 27500784 29792516 41251176 44688774 55001568 59585032 67033161 82502352 89377548 119170064 134066322 165004704 178755096 238340128 268132644 357510192 536265288 715020384 1072530576 2145061152