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152415323310 = 23541791568543
BaseRepresentation
bin1000110111110010101…
…0010100010010101110
3112120102002022122120110
42031330222110102232
54444121310321220
6154004005200450
714003664605115
oct2157452242256
9476362278513
10152415323310
1159703527318
1225657700126
13114acaa1953
14753c47cc7c
153e70b80be0
hex237ca944ae

152415323310 has 64 divisors (see below), whose sum is σ = 379462164480. Its totient is φ = 39150808320.

The previous prime is 152415323273. The next prime is 152415323383. The reversal of 152415323310 is 13323514251.

152415323310 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1524153233102 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 687102 + ... + 881441.

It is an arithmetic number, because the mean of its divisors is an integer number (5929096320).

Almost surely, 2152415323310 is an apocalyptic number.

152415323310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

152415323310 is an abundant number, since it is smaller than the sum of its proper divisors (227046841170).

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

152415323310 is a wasteful number, since it uses less digits than its factorization.

152415323310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1568673.

The product of its (nonzero) digits is 10800, while the sum is 30.

Adding to 152415323310 its reverse (13323514251), we get a palindrome (165738837561).

The spelling of 152415323310 in words is "one hundred fifty-two billion, four hundred fifteen million, three hundred twenty-three thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 15 30 41 79 82 123 158 205 237 246 395 410 474 615 790 1185 1230 2370 3239 6478 9717 16195 19434 32390 48585 97170 1568543 3137086 4705629 7842715 9411258 15685430 23528145 47056290 64310263 123914897 128620526 192930789 247829794 321551315 371744691 385861578 619574485 643102630 743489382 964653945 1239148970 1858723455 1929307890 3717446910 5080510777 10161021554 15241532331 25402553885 30483064662 50805107770 76207661655 152415323310