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87760231945 = 5178537120941
BaseRepresentation
bin101000110111011101…
…0101101111000001001
322101112011100200221221
41101232322231320021
52414213104410240
6104152210202041
76224531443351
oct1215672557011
9271464320857
1087760231945
11342453aa211
1215012883321
138377aa8839
14436766bb61
152439906a4a
hex146eeade09

87760231945 has 16 divisors (see below), whose sum is σ = 111521101968. Its totient is φ = 66070005760.

The previous prime is 87760231931. The next prime is 87760231969. The reversal of 87760231945 is 54913206778.

It can be written as a sum of positive squares in 8 ways, for example, as 26947192336 + 60813039609 = 164156^2 + 246603^2 .

It is not a de Polignac number, because 87760231945 - 27 = 87760231817 is a prime.

It is a super-3 number, since 3×877602319453 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 87760231892 and 87760231901.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 665175 + ... + 786115.

It is an arithmetic number, because the mean of its divisors is an integer number (6970068873).

It is a 2-persistent number, because it is pandigital, and so is 2⋅87760231945 = 175520463890, but 3⋅87760231945 = 263280695835 is not.

Almost surely, 287760231945 is an apocalyptic number.

87760231945 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

87760231945 is the 241882-nd pentagonal number.

It is an amenable number.

87760231945 is a deficient number, since it is larger than the sum of its proper divisors (23760870023).

87760231945 is a wasteful number, since it uses less digits than its factorization.

87760231945 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129500.

The product of its (nonzero) digits is 2540160, while the sum is 52.

The spelling of 87760231945 in words is "eighty-seven billion, seven hundred sixty million, two hundred thirty-one thousand, nine hundred forty-five".

Divisors: 1 5 17 85 8537 42685 120941 145129 604705 725645 2055997 10279985 1032473317 5162366585 17552046389 87760231945