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29870554561 = 40124312
BaseRepresentation
bin11011110100011011…
…000111110111000001
32212002201201101121121
4123310123013313001
5442133330221221
621420005352241
72105135344621
oct336433076701
985081641547
1029870554561
1111739170831
125957708681
132a80611b73
141635190881
15b9c5a9a41
hex6f46c7dc1

29870554561 has 9 divisors (see below), whose sum is σ = 30014870179. Its totient is φ = 29726932000.

The previous prime is 29870554507. The next prime is 29870554573. The reversal of 29870554561 is 16545507892.

It is a happy number.

The square root of 29870554561 is 172831.

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., 29573336961 + 297217600 = 171969^2 + 17240^2 .

It is not a de Polignac number, because 29870554561 - 211 = 29870552513 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 29870554499 and 29870554508.

It is not an unprimeable number, because it can be changed into a prime (29870554501) 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, 69305016 + ... + 69305446.

Almost surely, 229870554561 is an apocalyptic number.

29870554561 is the 172831-st square number.

29870554561 is the 86416-th centered octagonal number.

It is an amenable number.

29870554561 is a deficient number, since it is larger than the sum of its proper divisors (144315618).

29870554561 is an frugal number, since it uses more digits than its factorization.

29870554561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1664 (or 832 counting only the distinct ones).

The product of its (nonzero) digits is 3024000, while the sum is 52.

The spelling of 29870554561 in words is "twenty-nine billion, eight hundred seventy million, five hundred fifty-four thousand, five hundred sixty-one".

Divisors: 1 401 431 160801 172831 185761 69305231 74490161 29870554561