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152553544340 = 22573773135173
BaseRepresentation
bin1000111000010011100…
…1100101101010010100
3112120202201102000011212
42032010321211222110
54444412201404330
6154025423520552
714010263505641
oct2160471455224
9476681360155
10152553544340
115977455387a
1225695a59158
1311502608342
14755297cdc8
153e7cd85295
hex2384e65a94

152553544340 has 48 divisors (see below), whose sum is σ = 325173493008. Its totient is φ = 60107203584.

The previous prime is 152553544327. The next prime is 152553544349. The reversal of 152553544340 is 43445355251.

152553544340 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 142945936 + 152410598404 = 11956^2 + 390398^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152553544349) by changing a digit.

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, 1060994 + ... + 1196166.

It is an arithmetic number, because the mean of its divisors is an integer number (6774447771).

Almost surely, 2152553544340 is an apocalyptic number.

152553544340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

152553544340 is an abundant number, since it is smaller than the sum of its proper divisors (172619948668).

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

152553544340 is a wasteful number, since it uses less digits than its factorization.

152553544340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136028 (or 136026 counting only the distinct ones).

The product of its (nonzero) digits is 720000, while the sum is 41.

Adding to 152553544340 its reverse (43445355251), we get a palindrome (195998899591).

The spelling of 152553544340 in words is "one hundred fifty-two billion, five hundred fifty-three million, five hundred forty-four thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 73 146 292 365 730 773 1460 1546 3092 3865 7730 15460 56429 112858 135173 225716 270346 282145 540692 564290 675865 1128580 1351730 2703460 9867629 19735258 39470516 49338145 98676290 104488729 197352580 208977458 417954916 522443645 1044887290 2089774580 7627677217 15255354434 30510708868 38138386085 76276772170 152553544340