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2047315968 = 21232193779
BaseRepresentation
bin111101000000111…
…1001000000000000
312021200101102112100
41322001321000000
513143103102333
6535053030400
7101506620135
oct17201710000
95250342470
102047315968
11960724875
12491785400
13268202b89
14155c9458c
15beb0c213
hex7a079000

2047315968 has 312 divisors, whose sum is σ = 6474166400. Its totient is φ = 621084672.

The previous prime is 2047315937. The next prime is 2047315973. The reversal of 2047315968 is 8695137402.

2047315968 is a `hidden beast` number, since 20 + 4 + 7 + 31 + 596 + 8 = 666.

2047315968 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

2047315968 is strictly pandigital in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25915353 + ... + 25915431.

It is a 1-persistent number, because it is pandigital, but 2⋅2047315968 = 4094631936 is not.

Almost surely, 22047315968 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 2047315968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3237083200).

2047315968 is an abundant number, since it is smaller than the sum of its proper divisors (4426850432).

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

2047315968 is a wasteful number, since it uses less digits than its factorization.

2047315968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 140 counting only the distinct ones).

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

The square root of 2047315968 is about 45247.2758075003. The cubic root of 2047315968 is about 1269.7794413105.

The spelling of 2047315968 in words is "two billion, forty-seven million, three hundred fifteen thousand, nine hundred sixty-eight".