Search a number
-
+
147486550068 = 223211313236771
BaseRepresentation
bin1000100101011011100…
…0100010100000110100
3112002200120222000202100
42021112320202200310
54404023024100233
6151430540342100
713440565663614
oct2112670424064
9462616860670
10147486550068
1157604349000
1224700b44930
1310ba5921090
1471d1a3ca44
153c830e8813
hex2256e22834

147486550068 has 144 divisors (see below), whose sum is σ = 441611980992. Its totient is φ = 41254804800.

The previous prime is 147486550033. The next prime is 147486550097. The reversal of 147486550068 is 860055684741.

147486550068 is a `hidden beast` number, since 1 + 4 + 7 + 4 + 86 + 550 + 0 + 6 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 147486549996 and 147486550023.

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, 504523 + ... + 741293.

It is an arithmetic number, because the mean of its divisors is an integer number (3066749868).

Almost surely, 2147486550068 is an apocalyptic number.

147486550068 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 147486550068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220805990496).

147486550068 is an abundant number, since it is smaller than the sum of its proper divisors (294125430924).

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

147486550068 is a wasteful number, since it uses less digits than its factorization.

147486550068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236827 (or 236800 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 54.

The spelling of 147486550068 in words is "one hundred forty-seven billion, four hundred eighty-six million, five hundred fifty thousand, sixty-eight".

Divisors: 1 2 3 4 6 9 11 12 13 18 22 26 33 36 39 44 52 66 78 99 117 121 132 143 156 198 234 242 286 363 396 429 468 484 572 726 858 1089 1287 1331 1452 1573 1716 2178 2574 2662 3146 3993 4356 4719 5148 5324 6292 7986 9438 11979 14157 15972 17303 18876 23958 28314 34606 47916 51909 56628 69212 103818 155727 207636 236771 311454 473542 622908 710313 947084 1420626 2130939 2604481 2841252 3078023 4261878 5208962 6156046 7813443 8523756 9234069 10417924 12312092 15626886 18468138 23440329 27702207 28649291 31253772 33858253 36936276 46880658 55404414 57298582 67716506 85947873 93761316 101574759 110808828 114597164 135433012 171895746 203149518 257843619 304724277 315142201 343791492 372440783 406299036 515687238 609448554 630284402 744881566 945426603 1031374476 1117322349 1218897108 1260568804 1489763132 1890853206 2234644698 2836279809 3351967047 3781706412 4096848613 4469289396 5672559618 6703934094 8193697226 11345119236 12290545839 13407868188 16387394452 24581091678 36871637517 49162183356 73743275034 147486550068