Search a number
-
+
147063209472 = 293328337591
BaseRepresentation
bin1000100011110110100…
…1100111111000000000
3112001121002101002122000
42020331221213320000
54402141140200342
6151320534544000
713424235440514
oct2107551477000
9461532332560
10147063209472
1157407390a43
1224603208000
1310b38cc999a
147191720144
153c5ad7444c
hex223da67e00

147063209472 has 160 divisors (see below), whose sum is σ = 436867157760. Its totient is φ = 48846551040.

The previous prime is 147063209441. The next prime is 147063209569. The reversal of 147063209472 is 274902360741.

147063209472 is a `hidden beast` number, since 1 + 4 + 7 + 0 + 632 + 0 + 9 + 4 + 7 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3893397 + ... + 3930987.

It is an arithmetic number, because the mean of its divisors is an integer number (2730419736).

Almost surely, 2147063209472 is an apocalyptic number.

147063209472 is a gapful number since it is divisible by the number (12) 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 147063209472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218433578880).

147063209472 is an abundant number, since it is smaller than the sum of its proper divisors (289803948288).

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

147063209472 is an equidigital number, since it uses as much as digits as its factorization.

147063209472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37901 (or 37879 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 147063209472 in words is "one hundred forty-seven billion, sixty-three million, two hundred nine thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 283 288 384 432 512 566 576 768 849 864 1132 1152 1536 1698 1728 2264 2304 2547 3396 3456 4528 4608 5094 6792 6912 7641 9056 10188 13584 13824 15282 18112 20376 27168 30564 36224 37591 40752 54336 61128 72448 75182 81504 108672 112773 122256 144896 150364 163008 217344 225546 244512 300728 326016 338319 434688 451092 489024 601456 652032 676638 902184 978048 1014957 1202912 1304064 1353276 1804368 1956096 2029914 2405824 2706552 3608736 3912192 4059828 4811648 5413104 7217472 8119656 9623296 10638253 10826208 14434944 16239312 19246592 21276506 21652416 28869888 31914759 32478624 42553012 43304832 57739776 63829518 64957248 85106024 86609664 95744277 127659036 129914496 170212048 173219328 191488554 255318072 259828992 287232831 340424096 382977108 510636144 519657984 574465662 680848192 765954216 1021272288 1148931324 1361696384 1531908432 2042544576 2297862648 2723392768 3063816864 4085089152 4595725296 5446785536 6127633728 8170178304 9191450592 12255267456 16340356608 18382901184 24510534912 36765802368 49021069824 73531604736 147063209472