Search a number
-
+
151065566010 = 23251678506289
BaseRepresentation
bin1000110010110000110…
…1011001101100111010
3112102221000111212122100
42030230031121230322
54433340241103020
6153222031204230
713625355060462
oct2145415315472
9472830455570
10151065566010
1159080634717
122533b676676
1311326264ba8
1474510c8ba2
153de2412a90
hex232c359b3a

151065566010 has 24 divisors (see below), whose sum is σ = 392770471860. Its totient is φ = 40284150912.

The previous prime is 151065565969. The next prime is 151065566027. The reversal of 151065566010 is 10665560151.

151065566010 is a `hidden beast` number, since 15 + 10 + 65 + 566 + 0 + 10 = 666.

151065566010 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 148709725641 + 2355840369 = 385629^2 + 48537^2 .

It is a Curzon number.

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 11 ways as a sum of consecutive naturals, for example, 839253055 + ... + 839253234.

Almost surely, 2151065566010 is an apocalyptic number.

151065566010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

151065566010 is an abundant number, since it is smaller than the sum of its proper divisors (241704905850).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

151065566010 is a wasteful number, since it uses less digits than its factorization.

151065566010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1678506302 (or 1678506299 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 36.

The spelling of 151065566010 in words is "one hundred fifty-one billion, sixty-five million, five hundred sixty-six thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 1678506289 3357012578 5035518867 8392531445 10071037734 15106556601 16785062890 25177594335 30213113202 50355188670 75532783005 151065566010