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2069438976 = 29331131439
BaseRepresentation
bin111101101011001…
…0010001000000000
312100020000101121000
41323112102020000
513214234021401
6541203132000
7102165640533
oct17326221000
95306011530
102069438976
11972165150
12499074000
1326c97a707
14158bb2a1a
15c1a2c186
hex7b592200

2069438976 has 320 divisors, whose sum is σ = 6913843200. Its totient is φ = 605491200.

The previous prime is 2069438963. The next prime is 2069438981. The reversal of 2069438976 is 6798349602.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4713765 + ... + 4714203.

It is an arithmetic number, because the mean of its divisors is an integer number (21605760).

Almost surely, 22069438976 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 2069438976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3456921600).

2069438976 is an abundant number, since it is smaller than the sum of its proper divisors (4844404224).

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

2069438976 is a wasteful number, since it uses less digits than its factorization.

2069438976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 508 (or 486 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The square root of 2069438976 is about 45491.0867753234. The cubic root of 2069438976 is about 1274.3367512348.

The spelling of 2069438976 in words is "two billion, sixty-nine million, four hundred thirty-eight thousand, nine hundred seventy-six".