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2047338864 = 243234740973
BaseRepresentation
bin111101000000111…
…1110100101110000
312021200102120221100
41322001332211300
513143104320424
6535053324400
7101510043654
oct17201764560
95250376840
102047338864
1196073aa9a
12491796700
1326821041c
14155c9ca64
15beb13dc9
hex7a07e970

2047338864 has 60 divisors (see below), whose sum is σ = 5746357656. Its totient is φ = 680462976.

The previous prime is 2047338857. The next prime is 2047338877. The reversal of 2047338864 is 4688337402.

2047338864 is a `hidden beast` number, since 204 + 7 + 3 + 388 + 64 = 666.

2047338864 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29482 + ... + 70454.

Almost surely, 22047338864 is an apocalyptic number.

2047338864 is a gapful number since it is divisible by the number (24) 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 2047338864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2873178828).

2047338864 is an abundant number, since it is smaller than the sum of its proper divisors (3699018792).

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

2047338864 is a wasteful number, since it uses less digits than its factorization.

2047338864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41334 (or 41325 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The square root of 2047338864 is about 45247.5288165000. The cubic root of 2047338864 is about 1269.7841747863.

The spelling of 2047338864 in words is "two billion, forty-seven million, three hundred thirty-eight thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 347 694 1041 1388 2082 2776 3123 4164 5552 6246 8328 12492 16656 24984 40973 49968 81946 122919 163892 245838 327784 368757 491676 655568 737514 983352 1475028 1966704 2950056 5900112 14217631 28435262 42652893 56870524 85305786 113741048 127958679 170611572 227482096 255917358 341223144 511834716 682446288 1023669432 2047338864