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147387182720 = 2755342110321
BaseRepresentation
bin1000100101000011110…
…1011110111010000000
3112002102122222122101012
42021100331132322000
54403322104321340
6151413030500052
713435251245111
oct2112075367200
9462378878335
10147387182720
1157563249928
1224693804628
1310b8b16c52b
1471c2774208
153c7951b565
hex2250f5ee80

147387182720 has 128 divisors (see below), whose sum is σ = 359883136080. Its totient is φ = 57699532800.

The previous prime is 147387182713. The next prime is 147387182783. The reversal of 147387182720 is 27281783741.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 34012211776 + 113374970944 = 184424^2 + 336712^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×1473871827203 (a number of 34 digits) contains 333 as substring.

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, 14275160 + ... + 14285480.

Almost surely, 2147387182720 is an apocalyptic number.

147387182720 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 147387182720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179941568040).

147387182720 is an abundant number, since it is smaller than the sum of its proper divisors (212495953360).

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

147387182720 is a wasteful number, since it uses less digits than its factorization.

147387182720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10814 (or 10802 counting only the distinct ones).

The product of its (nonzero) digits is 1053696, while the sum is 50.

The spelling of 147387182720 in words is "one hundred forty-seven billion, three hundred eighty-seven million, one hundred eighty-two thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 53 64 80 106 128 160 212 265 320 421 424 530 640 842 848 1060 1684 1696 2105 2120 3368 3392 4210 4240 6736 6784 8420 8480 10321 13472 16840 16960 20642 22313 26944 33680 33920 41284 44626 51605 53888 67360 82568 89252 103210 111565 134720 165136 178504 206420 223130 269440 330272 357008 412840 446260 547013 660544 714016 825680 892520 1094026 1321088 1428032 1651360 1785040 2188052 2735065 2856064 3302720 3570080 4345141 4376104 5470130 6605440 7140160 8690282 8752208 10940260 14280320 17380564 17504416 21725705 21880520 34761128 35008832 43451410 43761040 69522256 70017664 86902820 87522080 139044512 173805640 175044160 230292473 278089024 347611280 350088320 460584946 556178048 695222560 921169892 1151462365 1390445120 1842339784 2302924730 2780890240 3684679568 4605849460 7369359136 9211698920 14738718272 18423397840 29477436544 36846795680 73693591360 147387182720