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2156378112 = 211357619
BaseRepresentation
bin1000000010000111…
…1011100000000000
312120021121100200000
42000201323200000
513404013044422
6553550400000
7104302624440
oct20041734000
95507540600
102156378112
11a07245879
12502200000
1328499a3a5
14166564120
15c94a1cac
hex8087b800

2156378112 has 288 divisors, whose sum is σ = 7393276800. Its totient is φ = 615112704.

The previous prime is 2156378083. The next prime is 2156378113. The reversal of 2156378112 is 2118736512.

2156378112 is a `hidden beast` number, since 2 + 1 + 5 + 637 + 8 + 1 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2156378113) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3483339 + ... + 3483957.

It is an arithmetic number, because the mean of its divisors is an integer number (25671100).

Almost surely, 22156378112 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 2156378112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3696638400).

2156378112 is an abundant number, since it is smaller than the sum of its proper divisors (5236898688).

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

2156378112 is an frugal number, since it uses more digits than its factorization.

2156378112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 663 (or 631 counting only the distinct ones).

The product of its digits is 20160, while the sum is 36.

The square root of 2156378112 is about 46436.8184956722. The cubic root of 2156378112 is about 1291.9378985893.

The spelling of 2156378112 in words is "two billion, one hundred fifty-six million, three hundred seventy-eight thousand, one hundred twelve".