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189669508416 = 2633121790191
BaseRepresentation
bin1011000010100100101…
…1110000010101000000
3200010120101122100011000
42300221023300111000
511101420343232131
6223044415452000
716463121135513
oct2605113602500
9603511570130
10189669508416
1173490546a53
1230913b27000
1314b6901926b
1492740ccd7a
154e01582ce6
hex2c292f0540

189669508416 has 112 divisors (see below), whose sum is σ = 558057588480. Its totient is φ = 63170519040.

The previous prime is 189669508403. The next prime is 189669508459. The reversal of 189669508416 is 614805966981.

189669508416 is a `hidden beast` number, since 1 + 89 + 6 + 6 + 9 + 508 + 41 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2057881 + ... + 2148071.

It is an arithmetic number, because the mean of its divisors is an integer number (4982657040).

Almost surely, 2189669508416 is an apocalyptic number.

189669508416 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 189669508416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279028794240).

189669508416 is an abundant number, since it is smaller than the sum of its proper divisors (368388080064).

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

189669508416 is a wasteful number, since it uses less digits than its factorization.

189669508416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91429 (or 91413 counting only the distinct ones).

The product of its (nonzero) digits is 22394880, while the sum is 63.

The spelling of 189669508416 in words is "one hundred eighty-nine billion, six hundred sixty-nine million, five hundred eight thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 576 864 1217 1728 2434 3651 4868 7302 9736 10953 14604 19472 21906 29208 32859 38944 43812 58416 65718 77888 87624 90191 116832 131436 175248 180382 233664 262872 270573 350496 360764 525744 541146 700992 721528 811719 1051488 1082292 1443056 1623438 2102976 2164584 2435157 2886112 3246876 4329168 4870314 5772224 6493752 8658336 9740628 12987504 17316672 19481256 25975008 38962512 51950016 77925024 109762447 155850048 219524894 329287341 439049788 658574682 878099576 987862023 1317149364 1756199152 1975724046 2634298728 2963586069 3512398304 3951448092 5268597456 5927172138 7024796608 7902896184 10537194912 11854344276 15805792368 21074389824 23708688552 31611584736 47417377104 63223169472 94834754208 189669508416