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147532380994416 = 24311319013464137
BaseRepresentation
bin100001100010111000001111…
…001010010111101101110000
3201100100221212021222011220110
4201202320033022113231300
5123314132304013310131
61241435235024541320
743034601635243325
oct4142701712275560
9640327767864813
10147532380994416
1143010149a013a0
121466891ba81840
136442322911c02
1428608690a4b4c
15120c9c84b7646
hex862e0f297b70

147532380994416 has 80 divisors (see below), whose sum is σ = 429185108395008. Its totient is φ = 43264627852800.

The previous prime is 147532380994393. The next prime is 147532380994423. The reversal of 147532380994416 is 614499083235741.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4506715701 + ... + 4506748436.

It is a 2-persistent number, because it is pandigital, and so is 2⋅147532380994416 = 295064761988832, but 3⋅147532380994416 = 442597142983248 is not.

Almost surely, 2147532380994416 is an apocalyptic number.

147532380994416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

147532380994416 is an abundant number, since it is smaller than the sum of its proper divisors (281652727400592).

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

147532380994416 is a wasteful number, since it uses less digits than its factorization.

147532380994416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9013464190 (or 9013464184 counting only the distinct ones).

The product of its (nonzero) digits is 156764160, while the sum is 66.

The spelling of 147532380994416 in words is "one hundred forty-seven trillion, five hundred thirty-two billion, three hundred eighty million, nine hundred ninety-four thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 31 33 44 48 62 66 88 93 124 132 176 186 248 264 341 372 496 528 682 744 1023 1364 1488 2046 2728 4092 5456 8184 16368 9013464137 18026928274 27040392411 36053856548 54080784822 72107713096 99148105507 108161569644 144215426192 198296211014 216323139288 279417388247 297444316521 396592422028 432646278576 558834776494 594888633042 793184844056 838252164741 1117669552988 1189777266084 1586369688112 1676504329482 2235339105976 2379554532168 3073591270717 3353008658964 4470678211952 4759109064336 6147182541434 6706017317928 9220773812151 12294365082868 13412034635856 18441547624302 24588730165736 36883095248604 49177460331472 73766190497208 147532380994416