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190546135668 = 2235777336229
BaseRepresentation
bin1011000101110101101…
…1110100101001110100
3200012211111011121200000
42301131123310221310
511110214302320133
6223311412551300
716523624300220
oct2613533645164
9605744147600
10190546135668
11738a0364a89
1230b19622530
1314c7881b305
1493186c3780
154e534e4413
hex2c5d6f4a74

190546135668 has 144 divisors (see below), whose sum is σ = 571608535680. Its totient is φ = 54369823104.

The previous prime is 190546135651. The next prime is 190546135669. The reversal of 190546135668 is 866531645091.

190546135668 is a `hidden beast` number, since 1 + 9 + 0 + 546 + 1 + 35 + 6 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (190546135669) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5241378 + ... + 5277606.

It is an arithmetic number, because the mean of its divisors is an integer number (3969503720).

Almost surely, 2190546135668 is an apocalyptic number.

190546135668 is a gapful number since it is divisible by the number (18) 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 190546135668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285804267840).

190546135668 is an abundant number, since it is smaller than the sum of its proper divisors (381062400012).

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

190546135668 is a wasteful number, since it uses less digits than its factorization.

190546135668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37028 (or 37014 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The spelling of 190546135668 in words is "one hundred ninety billion, five hundred forty-six million, one hundred thirty-five thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 162 189 243 252 324 378 486 567 756 773 972 1134 1546 1701 2268 2319 3092 3402 4638 5411 6804 6957 9276 10822 13914 16233 20871 21644 27828 32466 36229 41742 48699 62613 64932 72458 83484 97398 108687 125226 144916 146097 187839 194796 217374 250452 253603 292194 326061 375678 434748 438291 507206 584388 652122 751356 760809 876582 978183 1014412 1304244 1314873 1521618 1753164 1956366 2282427 2629746 2934549 3043236 3912732 4564854 5259492 5869098 6847281 8803647 9129708 11738196 13694562 17607294 20541843 27389124 28005017 35214588 41083686 56010034 61625529 82167372 84015051 112020068 123251058 168030102 196035119 246502116 252045153 336060204 392070238 504090306 588105357 756135459 784140476 1008180612 1176210714 1512270918 1764316071 2268406377 2352421428 3024541836 3528632142 4536812754 5292948213 6805219131 7057264284 9073625508 10585896426 13610438262 15878844639 21171792852 27220876524 31757689278 47636533917 63515378556 95273067834 190546135668