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20746490112 = 283228873119
BaseRepresentation
bin10011010100100101…
…100101000100000000
31222112212011220011200
4103110211211010000
5314442100140422
613310353141200
71333055153625
oct232445450400
958485156150
1020746490112
1188869420a7
12402bb5a800
131c5824396a
14100b4c234c
158165732ac
hex4d4965100

20746490112 has 108 divisors (see below), whose sum is σ = 59857150080. Its totient is φ = 6910884864.

The previous prime is 20746490111. The next prime is 20746490123. The reversal of 20746490112 is 21109464702.

It is a happy number.

20746490112 is a `hidden beast` number, since 2 + 0 + 7 + 4 + 649 + 0 + 1 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (20746490111) 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, 6650089 + ... + 6653207.

Almost surely, 220746490112 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 20746490112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29928575040).

20746490112 is an abundant number, since it is smaller than the sum of its proper divisors (39110659968).

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

20746490112 is a wasteful number, since it uses less digits than its factorization.

20746490112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6028 (or 6011 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 20746490112 in words is "twenty billion, seven hundred forty-six million, four hundred ninety thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2304 2887 3119 5774 6238 8661 9357 11548 12476 17322 18714 23096 24952 25983 28071 34644 37428 46192 49904 51966 56142 69288 74856 92384 99808 103932 112284 138576 149712 184768 199616 207864 224568 277152 299424 369536 399232 415728 449136 554304 598848 739072 798464 831456 898272 1108608 1197696 1662912 1796544 2217216 2395392 3325824 3593088 6651648 7186176 9004553 18009106 27013659 36018212 54027318 72036424 81040977 108054636 144072848 162081954 216109272 288145696 324163908 432218544 576291392 648327816 864437088 1152582784 1296655632 1728874176 2305165568 2593311264 3457748352 5186622528 6915496704 10373245056 20746490112