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2149447680 = 21132583281
BaseRepresentation
bin1000000000011101…
…1111100000000000
312112210120020220100
42000013133200000
513400224311210
6553142042400
7104160001212
oct20007374000
95483506810
102149447680
11a03341946
124bba19400
13283411a43
1416567c5b2
15c8a835c0
hex801df800

2149447680 has 288 divisors, whose sum is σ = 7566184080. Its totient is φ = 564264960.

The previous prime is 2149447679. The next prime is 2149447687. The reversal of 2149447680 is 867449412.

2149447680 is a `hidden beast` number, since 2 + 14 + 94 + 476 + 80 = 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 (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2149447687) 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, 7649140 + ... + 7649420.

Almost surely, 22149447680 is an apocalyptic number.

2149447680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2149447680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3783092040).

2149447680 is an abundant number, since it is smaller than the sum of its proper divisors (5416736400).

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

2149447680 is a wasteful number, since it uses less digits than its factorization.

2149447680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 397 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 2149447680 is about 46362.1362751977. The cubic root of 2149447680 is about 1290.5523504455.

The spelling of 2149447680 in words is "two billion, one hundred forty-nine million, four hundred forty-seven thousand, six hundred eighty".