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10066010157 = 337223241991
BaseRepresentation
bin10010101111111101…
…10010000000101101
3221222111222022001000
421113332302000231
5131103344311112
64342501310513
7504305450250
oct112776620055
927874868030
1010066010157
1142a6000465
121b4b105439
13c4558cc38
146b6c27097
153dda9b7dc
hex257fb202d

10066010157 has 64 divisors (see below), whose sum is σ = 17207787520. Its totient is φ = 5696697600.

The previous prime is 10066010147. The next prime is 10066010177. The reversal of 10066010157 is 75101066001.

10066010157 is a `hidden beast` number, since 1 + 0 + 0 + 6 + 601 + 0 + 1 + 57 = 666.

It is not a de Polignac number, because 10066010157 - 230 = 8992268333 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 10066010157.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10066010147) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10156932 + ... + 10157922.

It is an arithmetic number, because the mean of its divisors is an integer number (268871680).

Almost surely, 210066010157 is an apocalyptic number.

It is an amenable number.

10066010157 is a deficient number, since it is larger than the sum of its proper divisors (7141777363).

10066010157 is a wasteful number, since it uses less digits than its factorization.

10066010157 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1471 (or 1465 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

Adding to 10066010157 its reverse (75101066001), we get a palindrome (85167076158).

The spelling of 10066010157 in words is "ten billion, sixty-six million, ten thousand, one hundred fifty-seven".

Divisors: 1 3 7 9 21 27 63 189 223 241 669 723 991 1561 1687 2007 2169 2973 4683 5061 6021 6507 6937 8919 14049 15183 20811 26757 42147 45549 53743 62433 161229 187299 220993 238831 376201 483687 662979 716493 1128603 1451061 1546951 1671817 1988937 2149479 3385809 4640853 5015451 5966811 6448437 10157427 13922559 15046353 41767677 45139059 53259313 159777939 372815191 479333817 1118445573 1438001451 3355336719 10066010157