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87030013381345 = 53121124171100977
BaseRepresentation
bin10011110010011101000001…
…000010000100101011100001
3102102010222200021021202010201
4103302131001002010223201
542401344431411200340
6505033011453025201
724221465601661216
oct2362350102045341
9372128607252121
1087030013381345
1125804248760081
129916bbb485201
133973b83559598
14176c3bcd19b0d
15a0dcb500679a
hex4f2741084ae1

87030013381345 has 32 divisors (see below), whose sum is σ = 108360756182016. Its totient is φ = 67030942003200.

The previous prime is 87030013381163. The next prime is 87030013381379. The reversal of 87030013381345 is 54318331003078.

It is not a de Polignac number, because 87030013381345 - 219 = 87030012857057 is a prime.

It is a super-4 number, since 4×870300133813454 (a number of 57 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 87030013381295 and 87030013381304.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 78497497 + ... + 79598473.

It is an arithmetic number, because the mean of its divisors is an integer number (3386273630688).

Almost surely, 287030013381345 is an apocalyptic number.

It is an amenable number.

87030013381345 is a deficient number, since it is larger than the sum of its proper divisors (21330742800671).

87030013381345 is a wasteful number, since it uses less digits than its factorization.

87030013381345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1103641.

The product of its (nonzero) digits is 725760, while the sum is 46.

The spelling of 87030013381345 in words is "eighty-seven trillion, thirty billion, thirteen million, three hundred eighty-one thousand, three hundred forty-five".

Divisors: 1 5 31 155 211 1055 2417 6541 12085 32705 74927 374635 509987 1100977 2549935 5504885 15809597 34130287 79047985 170651435 232306147 1161530735 2661061409 7201490557 13305307045 36007452785 82492903679 412464518395 561483957299 2807419786495 17406002676269 87030013381345