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2141107672 = 231124330769
BaseRepresentation
bin111111110011110…
…1011010111011000
312112012212112120011
41333213223113120
513341110421142
6552243211304
7104026054264
oct17747532730
95465775504
102141107672
119a9665980
124b9076b34
13281781922
1416450b0a4
15c7e87417
hex7f9eb5d8

2141107672 has 16 divisors (see below), whose sum is σ = 4379538600. Its totient is φ = 973230720.

The previous prime is 2141107669. The next prime is 2141107679. The reversal of 2141107672 is 2767011412.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2141107679) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 12165297 + ... + 12165472.

Almost surely, 22141107672 is an apocalyptic number.

2141107672 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2141107672 is an abundant number, since it is smaller than the sum of its proper divisors (2238430928).

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

2141107672 is a wasteful number, since it uses less digits than its factorization.

2141107672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24330786 (or 24330782 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 31.

The square root of 2141107672 is about 46272.1046852204. The cubic root of 2141107672 is about 1288.8810423863.

The spelling of 2141107672 in words is "two billion, one hundred forty-one million, one hundred seven thousand, six hundred seventy-two".

Divisors: 1 2 4 8 11 22 44 88 24330769 48661538 97323076 194646152 267638459 535276918 1070553836 2141107672