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149326599184 = 24723723732
BaseRepresentation
bin1000101100010010001…
…1110001010000010000
3112021102211100012121121
42023010203301100100
54421310102133214
6152333311132024
713534311102400
oct2130443612020
9467384305547
10149326599184
1158368a77154
1224b35214014
1311109bc4139
14732817c800
153d3e913424
hex22c48f1410

149326599184 has 135 divisors (see below), whose sum is σ = 346828034007. Its totient is φ = 62100525312.

The previous prime is 149326599181. The next prime is 149326599197. The reversal of 149326599184 is 481995623941.

The square root of 149326599184 is 386428.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 34161389584 + 115165209600 = 184828^2 + 339360^2 .

It is not an unprimeable number, because it can be changed into a prime (149326599181) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 400339222 + ... + 400339594.

Almost surely, 2149326599184 is an apocalyptic number.

149326599184 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

149326599184 is the 386428-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 149326599184

149326599184 is an abundant number, since it is smaller than the sum of its proper divisors (197501434823).

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

149326599184 is an frugal number, since it uses more digits than its factorization.

149326599184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 842 (or 419 counting only the distinct ones).

The product of its digits is 16796160, while the sum is 61.

The spelling of 149326599184 in words is "one hundred forty-nine billion, three hundred twenty-six million, five hundred ninety-nine thousand, one hundred eighty-four".

Divisors: 1 2 4 7 8 14 16 28 37 49 56 74 98 112 148 196 259 296 373 392 518 592 746 784 1036 1369 1492 1813 2072 2611 2738 2984 3626 4144 5222 5476 5968 7252 9583 10444 10952 13801 14504 18277 19166 20888 21904 27602 29008 36554 38332 41776 55204 67081 73108 76664 96607 110408 134162 139129 146216 153328 193214 220816 268324 278258 292432 386428 510637 536648 556516 676249 772856 973903 1021274 1073296 1113032 1352498 1545712 1947806 2042548 2226064 2704996 3574459 3895612 4085096 5147773 5409992 6817321 7148918 7791224 8170192 10295546 10819984 13634642 14297836 15582448 20591092 25021213 27269284 28595672 36034411 41182184 50042426 54538568 57191344 72068822 82364368 100084852 109077136 144137644 190467601 200169704 252240877 288275288 380935202 400339408 504481754 576550576 761870404 1008963508 1333273207 1523740808 2017927016 2666546414 3047481616 4035854032 5333092828 9332912449 10666185656 18665824898 21332371312 37331649796 74663299592 149326599184