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34100423569 = 47239292
BaseRepresentation
bin11111110000100010…
…110010101110010001
310021000111222000001201
4133300202302232101
51024314202023234
623355430231201
72315016550342
oct376042625621
9107014860051
1034100423569
1113509888a43
1267381b5501
1332a5a48034
141916c600c9
15d48ad9314
hex7f08b2b91

34100423569 has 9 divisors (see below), whose sum is σ = 34850271547. Its totient is φ = 33366388144.

The previous prime is 34100423509. The next prime is 34100423597. The reversal of 34100423569 is 96532400143.

The square root of 34100423569 is 184663.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 4832057169 + 29268366400 = 69513^2 + 171080^2 .

It is not a de Polignac number, because 34100423569 - 211 = 34100421521 is a prime.

It is a super-2 number, since 2×341004235692 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34100423509) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 8677197 + ... + 8681125.

Almost surely, 234100423569 is an apocalyptic number.

34100423569 is the 184663-rd square number.

34100423569 is the 92332-nd centered octagonal number.

It is an amenable number.

34100423569 is a deficient number, since it is larger than the sum of its proper divisors (749847978).

34100423569 is an frugal number, since it uses more digits than its factorization.

34100423569 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7952 (or 3976 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 37.

The spelling of 34100423569 in words is "thirty-four billion, one hundred million, four hundred twenty-three thousand, five hundred sixty-nine".

Divisors: 1 47 2209 3929 184663 8679161 15437041 725540927 34100423569