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87930621745 = 5297310098233
BaseRepresentation
bin101000111100100010…
…0101100111100110001
322101222000222101211021
41101321010230330301
52420040214343440
6104221134215441
76232000644541
oct1217104547461
9271860871737
1087930621745
11343225a862a
121505b954581
1383a41963c5
144382143321
15244986284a
hex147912cf31

87930621745 has 32 divisors (see below), whose sum is σ = 110773648800. Its totient is φ = 66913910784.

The previous prime is 87930621743. The next prime is 87930621763. The reversal of 87930621745 is 54712603978.

It can be written as a sum of positive squares in 16 ways, for example, as 34883779984 + 53046841761 = 186772^2 + 230319^2 .

It is a 5-Lehmer number, since φ(87930621745) divides (87930621745-1)5.

It is a cyclic number.

It is not a de Polignac number, because 87930621745 - 21 = 87930621743 is a prime.

It is a Smith number, since the sum of its digits (52) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a junction number, because it is equal to n+sod(n) for n = 87930621692 and 87930621701.

It is not an unprimeable number, because it can be changed into a prime (87930621743) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10676149 + ... + 10684381.

It is an arithmetic number, because the mean of its divisors is an integer number (3461676525).

It is a 2-persistent number, because it is pandigital, and so is 2⋅87930621745 = 175861243490, but 3⋅87930621745 = 263791865235 is not.

Almost surely, 287930621745 is an apocalyptic number.

It is an amenable number.

87930621745 is a deficient number, since it is larger than the sum of its proper divisors (22843027055).

87930621745 is a wasteful number, since it uses less digits than its factorization.

87930621745 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9349.

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

The spelling of 87930621745 in words is "eighty-seven billion, nine hundred thirty million, six hundred twenty-one thousand, seven hundred forty-five".

Divisors: 1 5 29 73 145 365 1009 2117 5045 8233 10585 29261 41165 73657 146305 238757 368285 601009 1193785 2136053 3005045 8307097 10680265 17429261 41535485 87146305 240905813 606418081 1204529065 3032090405 17586124349 87930621745