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999292561345 = 513193449177409
BaseRepresentation
bin11101000101010100111…
…10100110011111000001
310112112100102020211002101
432202222132212133001
5112333022343430340
62043022455350401
7132124254423451
oct16425236463701
93475312224071
10999292561345
11355885665851
12141805082401
13733048536a0
143651a4d3d61
151aed95c4c9a
hexe8aa7a67c1

999292561345 has 32 divisors (see below), whose sum is σ = 1300983012000. Its totient is φ = 732476473344.

The previous prime is 999292561343. The next prime is 999292561447. The reversal of 999292561345 is 543165292999.

It can be written as a sum of positive squares in 16 ways, for example, as 244466958096 + 754825603249 = 494436^2 + 868807^2 .

It is a 4-Lehmer number, since φ(999292561345) divides (999292561345-1)4.

It is a cyclic number.

It is not a de Polignac number, because 999292561345 - 21 = 999292561343 is a prime.

It is not an unprimeable number, because it can be changed into a prime (999292561343) 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, 5544001 + ... + 5721409.

It is an arithmetic number, because the mean of its divisors is an integer number (40655719125).

It is a Poulet number, since it divides 2999292561344-1.

Almost surely, 2999292561345 is an apocalyptic number.

It is an amenable number.

999292561345 is a deficient number, since it is larger than the sum of its proper divisors (301690450655).

999292561345 is a wasteful number, since it uses less digits than its factorization.

999292561345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178069.

The product of its digits is 47239200, while the sum is 64.

The spelling of 999292561345 in words is "nine hundred ninety-nine billion, two hundred ninety-two million, five hundred sixty-one thousand, three hundred forty-five".

Divisors: 1 5 13 65 193 449 965 2245 2509 5837 12545 29185 86657 177409 433285 887045 1126541 2306317 5632705 11531585 34239937 79656641 171199685 398283205 445119181 1035536333 2225595905 5177681665 15373731713 76868658565 199858512269 999292561345