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10146712473 = 322953037331
BaseRepresentation
bin10010111001100101…
…01000101110011001
3222012010211101210200
421130302220232121
5131240024244343
64354503132413
7506305430052
oct113462505631
928163741720
1010146712473
114337611297
121b72144109
13c59207ba1
146c3833729
153e5bdd4d3
hex25cca8b99

10146712473 has 24 divisors (see below), whose sum is σ = 15166681920. Its totient is φ = 6529094880.

The previous prime is 10146712417. The next prime is 10146712493. The reversal of 10146712473 is 37421764101.

10146712473 is a `hidden beast` number, since 1 + 0 + 1 + 467 + 124 + 73 = 666.

10146712473 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10146712473 - 28 = 10146712217 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10146712403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1380418 + ... + 1387748.

It is an arithmetic number, because the mean of its divisors is an integer number (631945080).

Almost surely, 210146712473 is an apocalyptic number.

It is an amenable number.

10146712473 is a deficient number, since it is larger than the sum of its proper divisors (5019969447).

10146712473 is a wasteful number, since it uses less digits than its factorization.

10146712473 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12669 (or 12666 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The spelling of 10146712473 in words is "ten billion, one hundred forty-six million, seven hundred twelve thousand, four hundred seventy-three".

Divisors: 1 3 9 29 87 261 5303 7331 15909 21993 47727 65979 153787 212599 461361 637797 1384083 1913391 38876293 116628879 349886637 1127412497 3382237491 10146712473