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192239682048 = 293421532
BaseRepresentation
bin1011001100001001100…
…0001100001000000000
3200101012111212200120000
42303002120030020000
511122201324311143
6224151431320000
716613610223221
oct2630230141000
9611174780500
10192239682048
117458a31a497
1231310820000
131518864826b
1494395a9248
155002020bd3
hex2cc260c200

192239682048 has 150 divisors (see below), whose sum is σ = 574051460829. Its totient is φ = 64050130944.

The previous prime is 192239682031. The next prime is 192239682079. The reversal of 192239682048 is 840286932291.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

192239682048 is a `hidden beast` number, since 192 + 2 + 396 + 8 + 20 + 48 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 146388881664 + 45850800384 = 382608^2 + 214128^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=310032.

It is a super-2 number, since 2×1922396820482 (a number of 23 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 192239681985 and 192239682003.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 89288140 + ... + 89290292.

Almost surely, 2192239682048 is an apocalyptic number.

192239682048 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 192239682048

192239682048 is an abundant number, since it is smaller than the sum of its proper divisors (381811778781).

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

192239682048 is an frugal number, since it uses more digits than its factorization.

192239682048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4336 (or 2158 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 192239682048 in words is "one hundred ninety-two billion, two hundred thirty-nine million, six hundred eighty-two thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 512 576 648 768 864 1152 1296 1536 1728 2153 2304 2592 3456 4306 4608 5184 6459 6912 8612 10368 12918 13824 17224 19377 20736 25836 34448 38754 41472 51672 58131 68896 77508 103344 116262 137792 155016 174393 206688 232524 275584 310032 348786 413376 465048 551168 620064 697572 826752 930096 1102336 1240128 1395144 1653504 1860192 2480256 2790288 3307008 3720384 4635409 4960512 5580576 7440768 9270818 9921024 11161152 13906227 14881536 18541636 22322304 27812454 29763072 37083272 41718681 44644608 55624908 74166544 83437362 89289216 111249816 125156043 148333088 166874724 222499632 250312086 296666176 333749448 375468129 444999264 500624172 593332352 667498896 750936258 889998528 1001248344 1186664704 1334997792 1501872516 1779997056 2002496688 2373329408 2669995584 3003745032 3559994112 4004993376 5339991168 6007490064 7119988224 8009986752 10679982336 12014980128 16019973504 21359964672 24029960256 32039947008 48059920512 64079894016 96119841024 192239682048