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2064937056 = 2537132343239
BaseRepresentation
bin111101100010100…
…0111000001100000
312022220112200010020
41323011013001200
513212110441211
6540522433440
7102112450440
oct17305070140
95286480106
102064937056
1196a66a856
12497662880
1326ba62560
14158360120
15c143d306
hex7b147060

2064937056 has 384 divisors, whose sum is σ = 7153090560. Its totient is φ = 506677248.

The previous prime is 2064937003. The next prime is 2064937117. The reversal of 2064937056 is 6507394602.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 2064936999 and 2064937017.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8639785 + ... + 8640023.

It is an arithmetic number, because the mean of its divisors is an integer number (18627840).

Almost surely, 22064937056 is an apocalyptic number.

2064937056 is a gapful number since it is divisible by the number (26) 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 2064937056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3576545280).

2064937056 is an abundant number, since it is smaller than the sum of its proper divisors (5088153504).

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

2064937056 is a wasteful number, since it uses less digits than its factorization.

2064937056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 42.

The square root of 2064937056 is about 45441.5784937099. The cubic root of 2064937056 is about 1273.4120034604.

The spelling of 2064937056 in words is "two billion, sixty-four million, nine hundred thirty-seven thousand, fifty-six".