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1996858656 = 253413193119
BaseRepresentation
bin111011100000101…
…1010010100100000
312011011102221010000
41313001122110200
513042143434111
6530051340000
7100325006232
oct16701322440
95134387100
101996858656
119351a1511
124788b1600
1325a917590
1414d2bc252
15ba491c56
hex7705a520

1996858656 has 240 divisors, whose sum is σ = 6659452800. Its totient is φ = 581893632.

The previous prime is 1996858621. The next prime is 1996858663. The reversal of 1996858656 is 6568586991.

It is a junction number, because it is equal to n+sod(n) for n = 1996858593 and 1996858602.

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 39 ways as a sum of consecutive naturals, for example, 638665 + ... + 641783.

It is an arithmetic number, because the mean of its divisors is an integer number (27747720).

Almost surely, 21996858656 is an apocalyptic number.

1996858656 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 1996858656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3329726400).

1996858656 is an abundant number, since it is smaller than the sum of its proper divisors (4662594144).

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

1996858656 is a wasteful number, since it uses less digits than its factorization.

1996858656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3173 (or 3156 counting only the distinct ones).

The product of its digits is 27993600, while the sum is 63.

The square root of 1996858656 is about 44686.2244545229. The cubic root of 1996858656 is about 1259.2610633283.

The spelling of 1996858656 in words is "one billion, nine hundred ninety-six million, eight hundred fifty-eight thousand, six hundred fifty-six".