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2050816968 = 23365932
BaseRepresentation
bin111101000111100…
…1111101111001000
312021220222022000000
41322033033233020
513200002120333
6535300043000
7101551441134
oct17217175710
95256868000
102050816968
119626a6162
12492993460
13268b5a585
141565263c4
15c009e713
hex7a3cfbc8

2050816968 has 84 divisors (see below), whose sum is σ = 5775023985. Its totient is φ = 682452864.

The previous prime is 2050816967. The next prime is 2050816969. The reversal of 2050816968 is 8696180502.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

2050816968 is a `hidden beast` number, since 20 + 508 + 1 + 69 + 68 = 666.

It is an interprime number because it is at equal distance from previous prime (2050816967) and next prime (2050816969).

It can be written as a sum of positive squares in 2 ways, for example, as 2023380324 + 27436644 = 44982^2 + 5238^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=32022.

It is not an unprimeable number, because it can be changed into a prime (2050816967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 3458080 + ... + 3458672.

Almost surely, 22050816968 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 2050816968

2050816968 is an abundant number, since it is smaller than the sum of its proper divisors (3724207017).

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

2050816968 is an frugal number, since it uses more digits than its factorization.

2050816968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1210 (or 598 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 2050816968 is about 45285.9466943112. The cubic root of 2050816968 is about 1270.5028219544.

The spelling of 2050816968 in words is "two billion, fifty million, eight hundred sixteen thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 486 593 648 729 972 1186 1458 1779 1944 2372 2916 3558 4744 5337 5832 7116 10674 14232 16011 21348 32022 42696 48033 64044 96066 128088 144099 192132 288198 351649 384264 432297 576396 703298 864594 1054947 1152792 1406596 1729188 2109894 2813192 3164841 3458376 4219788 6329682 8439576 9494523 12659364 18989046 25318728 28483569 37978092 56967138 75956184 85450707 113934276 170901414 227868552 256352121 341802828 512704242 683605656 1025408484 2050816968