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189981206496 = 253217311251721
BaseRepresentation
bin1011000011101111000…
…0110010011111100000
3200011101010011020112100
42300323300302133200
511103040142101441
6223135352330400
716503624416334
oct2607360623740
9604333136470
10189981206496
1173630490374
12309a03a3a00
1314bb87817b3
1492a36697c4
154e1db02cb6
hex2c3bc327e0

189981206496 has 144 divisors (see below), whose sum is σ = 590492343168. Its totient is φ = 57679257600.

The previous prime is 189981206461. The next prime is 189981206497. The reversal of 189981206496 is 694602189981.

189981206496 is a `hidden beast` number, since 18 + 9 + 9 + 8 + 120 + 6 + 496 = 666.

189981206496 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (189981206497) 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 23 ways as a sum of consecutive naturals, for example, 474085 + ... + 777636.

It is an arithmetic number, because the mean of its divisors is an integer number (4100641272).

Almost surely, 2189981206496 is an apocalyptic number.

189981206496 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

189981206496 is an abundant number, since it is smaller than the sum of its proper divisors (400511136672).

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

189981206496 is a wasteful number, since it uses less digits than its factorization.

189981206496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1251785 (or 1251774 counting only the distinct ones).

The product of its (nonzero) digits is 13436928, while the sum is 63.

The spelling of 189981206496 in words is "one hundred eighty-nine billion, nine hundred eighty-one million, two hundred six thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 31 32 34 36 48 51 62 68 72 93 96 102 124 136 144 153 186 204 248 272 279 288 306 372 408 496 527 544 558 612 744 816 992 1054 1116 1224 1488 1581 1632 2108 2232 2448 2976 3162 4216 4464 4743 4896 6324 8432 8928 9486 12648 16864 18972 25296 37944 50592 75888 151776 1251721 2503442 3755163 5006884 7510326 10013768 11265489 15020652 20027536 21279257 22530978 30041304 38803351 40055072 42558514 45061956 60082608 63837771 77606702 85117028 90123912 116410053 120165216 127675542 155213404 170234056 180247824 191513313 232820106 255351084 310426808 340468112 349230159 360495648 383026626 465640212 510702168 620853616 659656967 680936224 698460318 766053252 931280424 1021404336 1241707232 1319313934 1396920636 1532106504 1862560848 1978970901 2042808672 2638627868 2793841272 3064213008 3725121696 3957941802 5277255736 5587682544 5936912703 6128426016 7915883604 10554511472 11175365088 11873825406 15831767208 21109022944 23747650812 31663534416 47495301624 63327068832 94990603248 189981206496