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1012456896 = 2631117163173
BaseRepresentation
bin111100010110001…
…101110111000000
32121120010010202120
4330112031313000
54033142110041
6244244244240
734042512243
oct7426156700
92546103676
101012456896
1147a561940
122430a0680
131319ac129
149867125a
155dd42366
hex3c58ddc0

1012456896 has 224 divisors, whose sum is σ = 3131198208. Its totient is φ = 285327360.

The previous prime is 1012456891. The next prime is 1012456901. The reversal of 1012456896 is 6986542101.

1012456896 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1012456891) and next prime (1012456901).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1012456891) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5852266 + ... + 5852438.

Almost surely, 21012456896 is an apocalyptic number.

1012456896 is a gapful number since it is divisible by the number (16) 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 1012456896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1565599104).

1012456896 is an abundant number, since it is smaller than the sum of its proper divisors (2118741312).

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

1012456896 is a wasteful number, since it uses less digits than its factorization.

1012456896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 42.

The square root of 1012456896 is about 31819.1278321704. The cubic root of 1012456896 is about 1004.1351754209.

Adding to 1012456896 its reverse (6986542101), we get a palindrome (7998998997).

The spelling of 1012456896 in words is "one billion, twelve million, four hundred fifty-six thousand, eight hundred ninety-six".