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2050163712 = 210321491493
BaseRepresentation
bin111101000110011…
…0000010000000000
312021212202002220100
41322030300100000
513144320214322
6535234042400
7101543050452
oct17214602000
95255662810
102050163712
1196229a383
12492719400
1326898c12c
141563d62d2
15beec0dac
hex7a330400

2050163712 has 132 divisors (see below), whose sum is σ = 5963525100. Its totient is φ = 678346752.

The previous prime is 2050163711. The next prime is 2050163743. The reversal of 2050163712 is 2173610502.

It is a happy number.

2050163712 is a `hidden beast` number, since 20 + 5 + 0 + 1 + 637 + 1 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1009714176 + 1040449536 = 31776^2 + 32256^2 .

It is not an unprimeable number, because it can be changed into a prime (2050163711) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1372438 + ... + 1373930.

Almost surely, 22050163712 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 2050163712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2981762550).

2050163712 is an abundant number, since it is smaller than the sum of its proper divisors (3913361388).

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

2050163712 is a wasteful number, since it uses less digits than its factorization.

2050163712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1668 (or 1647 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 2050163712 is about 45278.7335511938. The cubic root of 2050163712 is about 1270.3679079593.

The spelling of 2050163712 in words is "two billion, fifty million, one hundred sixty-three thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 149 192 256 288 298 384 447 512 576 596 768 894 1024 1152 1192 1341 1493 1536 1788 2304 2384 2682 2986 3072 3576 4479 4608 4768 5364 5972 7152 8958 9216 9536 10728 11944 13437 14304 17916 19072 21456 23888 26874 28608 35832 38144 42912 47776 53748 57216 71664 76288 85824 95552 107496 114432 143328 152576 171648 191104 214992 222457 228864 286656 343296 382208 429984 444914 457728 573312 667371 686592 764416 859968 889828 1146624 1334742 1373184 1528832 1719936 1779656 2002113 2293248 2669484 3439872 3559312 4004226 4586496 5338968 6879744 7118624 8008452 10677936 13759488 14237248 16016904 21355872 28474496 32033808 42711744 56948992 64067616 85423488 113897984 128135232 170846976 227795968 256270464 341693952 512540928 683387904 1025081856 2050163712