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2151753769 = 11242172
BaseRepresentation
bin1000000001000001…
…0010100000101001
312112221220102021001
42000100102200221
513401322110034
6553303315001
7104215414414
oct20020224051
95487812231
102151753769
11a04677500
1250074ba61
13283a3b5a9
14165abcb7b
15c8d8ba14
hex80412829

2151753769 has 9 divisors (see below), whose sum is σ = 2365711831. Its totient is φ = 1955675920.

The previous prime is 2151753757. The next prime is 2151753787. The reversal of 2151753769 is 9673571512.

It is a happy number.

The square root of 2151753769 is 46387.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1911875625 + 239878144 = 43725^2 + 15488^2 .

It is not a de Polignac number, because 2151753769 - 213 = 2151745577 is a prime.

It is a super-2 number, since 2×21517537692 = 9260088564811410722, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2151753749) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 508149 + ... + 512365.

Almost surely, 22151753769 is an apocalyptic number.

2151753769 is the 46387-th square number.

2151753769 is the 23194-th centered octagonal number.

It is an amenable number.

2151753769 is a deficient number, since it is larger than the sum of its proper divisors (213958062).

2151753769 is an frugal number, since it uses more digits than its factorization.

2151753769 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8456 (or 4228 counting only the distinct ones).

The product of its digits is 396900, while the sum is 46.

The cubic root of 2151753769 is about 1291.0137193362.

Multiplying 2151753769 by its product of digits (396900), we get a square (854031070916100 = 292238102).

The spelling of 2151753769 in words is "two billion, one hundred fifty-one million, seven hundred fifty-three thousand, seven hundred sixty-nine".

Divisors: 1 11 121 4217 46387 510257 17783089 195613979 2151753769