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10157821770 = 2353110922389
BaseRepresentation
bin10010111010111010…
…00000111101001010
3222012220201210220010
421131131000331022
5131300400244040
64355541212350
7506502026505
oct113535007512
928186653803
1010157821770
114342909928
121b75a010b6
13c5b5c7635
146c50c613c
153e6b84e80
hex25d740f4a

10157821770 has 32 divisors (see below), whose sum is σ = 25165186560. Its totient is φ = 2621373120.

The previous prime is 10157821733. The next prime is 10157821771. The reversal of 10157821770 is 7712875101.

10157821770 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×101578217702 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10157821771) 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 15 ways as a sum of consecutive naturals, for example, 5460265 + ... + 5462124.

It is an arithmetic number, because the mean of its divisors is an integer number (786412080).

Almost surely, 210157821770 is an apocalyptic number.

10157821770 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10157821770 is an abundant number, since it is smaller than the sum of its proper divisors (15007364790).

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

10157821770 is a wasteful number, since it uses less digits than its factorization.

10157821770 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10922430.

The product of its (nonzero) digits is 27440, while the sum is 39.

The spelling of 10157821770 in words is "ten billion, one hundred fifty-seven million, eight hundred twenty-one thousand, seven hundred seventy".

Divisors: 1 2 3 5 6 10 15 30 31 62 93 155 186 310 465 930 10922389 21844778 32767167 54611945 65534334 109223890 163835835 327671670 338594059 677188118 1015782177 1692970295 2031564354 3385940590 5078910885 10157821770