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73140351552 = 2632297359981
BaseRepresentation
bin100010000011110000…
…0010011001001000000
320222210021110211100100
41010013200103021000
52144242412222202
653333351322400
75166325505352
oct1040740231100
9228707424310
1073140351552
1129022904734
1212212680400
136b87c30238
14377bb150d2
151d8117a41c
hex1107813240

73140351552 has 168 divisors, whose sum is σ = 219847226040. Its totient is φ = 23216578560.

The previous prime is 73140351551. The next prime is 73140351563. The reversal of 73140351552 is 25515304137.

73140351552 is a `hidden beast` number, since 7 + 31 + 40 + 35 + 1 + 552 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4567597056 + 68572754496 = 67584^2 + 261864^2 .

It is a super-2 number, since 2×731403515522 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (73140351551) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1189402 + ... + 1249382.

Almost surely, 273140351552 is an apocalyptic number.

73140351552 is a gapful number since it is divisible by the number (72) 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 73140351552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109923613020).

73140351552 is an abundant number, since it is smaller than the sum of its proper divisors (146706874488).

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

73140351552 is a wasteful number, since it uses less digits than its factorization.

73140351552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60101 (or 60088 counting only the distinct ones).

The product of its (nonzero) digits is 63000, while the sum is 36.

Adding to 73140351552 its reverse (25515304137), we get a palindrome (98655655689).

The spelling of 73140351552 in words is "seventy-three billion, one hundred forty million, three hundred fifty-one thousand, five hundred fifty-two".