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147303552133300 = 225243281191363727
BaseRepresentation
bin100001011111100011000111…
…111001100010100010110100
3201022120002012211002121120011
4201133203013321202202310
5123301410133321231200
61241142152340150004
743012221225102463
oct4137430771424264
9638502184077504
10147303552133300
1142a320a3a90142
12146304b9698304
136426885a58644
14285375c3149da
151206a841535ba
hex85f8c7e628b4

147303552133300 has 144 divisors (see below), whose sum is σ = 328423134074112. Its totient is φ = 57315470284800.

The previous prime is 147303552133237. The next prime is 147303552133357. The reversal of 147303552133300 is 3331255303741.

147303552133300 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2311446037 + ... + 2311509763.

It is an arithmetic number, because the mean of its divisors is an integer number (2280716208848).

Almost surely, 2147303552133300 is an apocalyptic number.

147303552133300 is a gapful number since it is divisible by the number (10) 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 147303552133300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164211567037056).

147303552133300 is an abundant number, since it is smaller than the sum of its proper divisors (181119581940812).

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

147303552133300 is a wasteful number, since it uses less digits than its factorization.

147303552133300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65978 (or 65971 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 40.

The spelling of 147303552133300 in words is "one hundred forty-seven trillion, three hundred three billion, five hundred fifty-two million, one hundred thirty-three thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 43 50 86 100 172 215 281 430 562 860 1075 1124 1405 1913 2150 2810 3826 4300 5620 7025 7652 9565 12083 14050 19130 24166 28100 38260 47825 48332 60415 63727 82259 95650 120830 127454 164518 191300 241660 254908 302075 318635 329036 411295 537553 604150 637270 822590 1075106 1208300 1274540 1593175 1645180 2056475 2150212 2687765 2740261 3186350 4112950 5375530 5480522 6372700 8225900 10751060 10961044 13438825 13701305 17907287 23114779 26877650 27402610 35814574 46229558 53755300 54805220 68506525 71629148 89536435 92459116 115573895 121909751 137013050 179072870 231147790 243819502 274026100 358145740 447682175 462295580 487639004 577869475 609548755 770013341 895364350 1155738950 1219097510 1540026682 1790728700 2311477900 2438195020 3047743775 3080053364 3850066705 5242119293 6095487550 7700133410 10484238586 12190975100 15400266820 19250333525 20968477172 26210596465 34256640031 38500667050 52421192930 68513280062 77001334100 104842385860 131052982325 137026560124 171283200155 262105964650 342566400310 524211929300 685132800620 856416000775 1473035521333 1712832001550 2946071042666 3425664003100 5892142085332 7365177606665 14730355213330 29460710426660 36825888033325 73651776066650 147303552133300