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71512180740 = 2232572111331259
BaseRepresentation
bin100001010011001110…
…1010100100000000100
320211120210210011212200
41002212131110200010
52132424104240430
652504030114500
75111065335600
oct1024635244004
9224523704780
1071512180740
1128367841920
1211a3934ba30
136988812c60
1436657aa500
151cd8264460
hex10a6754804

71512180740 has 1296 divisors, whose sum is σ = 311513791680. Its totient is φ = 13049164800.

The previous prime is 71512180703. The next prime is 71512180763. The reversal of 71512180740 is 4708121517.

71512180740 is a `hidden beast` number, since 71 + 512 + 1 + 8 + 0 + 74 + 0 = 666.

It is a super-2 number, since 2×715121807402 (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 a junction number, because it is equal to n+sod(n) for n = 71512180695 and 71512180704.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 1212070831 + ... + 1212070889.

It is an arithmetic number, because the mean of its divisors is an integer number (240365580).

Almost surely, 271512180740 is an apocalyptic number.

71512180740 is a gapful number since it is divisible by the number (70) 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 71512180740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155756895840).

71512180740 is an abundant number, since it is smaller than the sum of its proper divisors (240001610940).

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

71512180740 is a wasteful number, since it uses less digits than its factorization.

71512180740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 15680, while the sum is 36.

It can be divided in two parts, 71512 and 180740, that added together give a palindrome (252252).

The spelling of 71512180740 in words is "seventy-one billion, five hundred twelve million, one hundred eighty thousand, seven hundred forty".