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87236475040 = 25511132319461
BaseRepresentation
bin101000100111110110…
…0101111100010100000
322100011122211002120001
41101033230233202200
52412130014200130
6104024220225344
76205541542321
oct1211754574240
9270148732501
1087236475040
1133aa6796970
1214aa739b254
1382c3426300
144317c90448
1524089496ca
hex144fb2f8a0

87236475040 has 288 divisors, whose sum is σ = 251337364992. Its totient is φ = 28334592000.

The previous prime is 87236475017. The next prime is 87236475041. The reversal of 87236475040 is 4057463278.

It is a super-2 number, since 2×872364750402 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (87236475041) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9215910 + ... + 9225370.

It is an arithmetic number, because the mean of its divisors is an integer number (872699184).

Almost surely, 287236475040 is an apocalyptic number.

87236475040 is a gapful number since it is divisible by the number (80) 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 87236475040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125668682496).

87236475040 is an abundant number, since it is smaller than the sum of its proper divisors (164100889952).

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

87236475040 is a wasteful number, since it uses less digits than its factorization.

87236475040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9544 (or 9523 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 46.

The spelling of 87236475040 in words is "eighty-seven billion, two hundred thirty-six million, four hundred seventy-five thousand, forty".