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2134978650 = 2325274161271
BaseRepresentation
bin111111101000001…
…0011000001011010
312111210100011010100
41333100103001122
513333023304100
6551504000230
7103623006360
oct17720230132
95453304110
102134978650
119a615a072
124b7000076
13280416c9c
14163793630
15c7676400
hex7f41305a

2134978650 has 288 divisors, whose sum is σ = 6850561536. Its totient is φ = 466560000.

The previous prime is 2134978639. The next prime is 2134978673. The reversal of 2134978650 is 568794312.

2134978650 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

2134978650 is strictly pandigital in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 2134978596 and 2134978605.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 7878015 + ... + 7878285.

It is an arithmetic number, because the mean of its divisors is an integer number (23786672).

It is a 1-persistent number, because it is pandigital, but 2⋅2134978650 = 4269957300 is not.

Almost surely, 22134978650 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2134978650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3425280768).

2134978650 is an abundant number, since it is smaller than the sum of its proper divisors (4715582886).

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

2134978650 is a wasteful number, since it uses less digits than its factorization.

2134978650 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 2134978650 is about 46205.8291777131. The cubic root of 2134978650 is about 1287.6500393844.

It can be divided in two parts, 21349 and 78650, that added together give a palindrome (99999).

The spelling of 2134978650 in words is "two billion, one hundred thirty-four million, nine hundred seventy-eight thousand, six hundred fifty".