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152482733190 = 232519593150373
BaseRepresentation
bin1000111000000010101…
…1011101110010000110
3112120120210011102112200
42032000223131302012
54444241034430230
6154014414055330
714005443563304
oct2160053356206
9476523142480
10152482733190
1159738589367
12256761aa546
13114c0a44558
1475473c9274
153e76a49160
hex2380addc86

152482733190 has 96 divisors (see below), whose sum is σ = 418027690080. Its totient is φ = 38456736768.

The previous prime is 152482733177. The next prime is 152482733213. The reversal of 152482733190 is 91337284251.

It is a happy number.

152482733190 is a `hidden beast` number, since 1 + 52 + 482 + 7 + 3 + 31 + 90 = 666.

It is a super-2 number, since 2×1524827331902 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 47 ways as a sum of consecutive naturals, for example, 938844 + ... + 1089216.

It is an arithmetic number, because the mean of its divisors is an integer number (4354455105).

Almost surely, 2152482733190 is an apocalyptic number.

152482733190 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 152482733190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209013845040).

152482733190 is an abundant number, since it is smaller than the sum of its proper divisors (265544956890).

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

152482733190 is a wasteful number, since it uses less digits than its factorization.

152482733190 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150998 (or 150995 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 152482733190 in words is "one hundred fifty-two billion, four hundred eighty-two million, seven hundred thirty-three thousand, one hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 19 30 38 45 57 90 95 114 171 190 285 342 570 593 855 1186 1710 1779 2965 3558 5337 5930 8895 10674 11267 17790 22534 26685 33801 53370 56335 67602 101403 112670 150373 169005 202806 300746 338010 451119 507015 751865 902238 1014030 1353357 1503730 2255595 2706714 2857087 4511190 5714174 6766785 8571261 13533570 14285435 17142522 25713783 28570870 42856305 51427566 85712610 89171189 128568915 178342378 257137830 267513567 445855945 535027134 802540701 891711890 1337567835 1605081402 1694252591 2675135670 3388505182 4012703505 5082757773 8025407010 8471262955 10165515546 15248273319 16942525910 25413788865 30496546638 50827577730 76241366595 152482733190