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42672105157 = 1147241342481
BaseRepresentation
bin100111101111011101…
…001010011011000101
311002010220002112200011
4213233131022123011
51144343024331112
631334151150221
73040311623563
oct475735123305
9132126075604
1042672105157
1117108322210
12832a975371
134040850286
1420cb41ca33
15119b3abaa7
hex9ef74a6c5

42672105157 has 16 divisors (see below), whose sum is σ = 47739250944. Its totient is φ = 37809792000.

The previous prime is 42672105103. The next prime is 42672105169. The reversal of 42672105157 is 75150127624.

It is a cyclic number.

It is not a de Polignac number, because 42672105157 - 215 = 42672072389 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42672105457) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46644 + ... + 295837.

It is an arithmetic number, because the mean of its divisors is an integer number (2983703184).

Almost surely, 242672105157 is an apocalyptic number.

42672105157 is a gapful number since it is divisible by the number (47) formed by its first and last digit.

It is an amenable number.

42672105157 is a deficient number, since it is larger than the sum of its proper divisors (5067145787).

42672105157 is a wasteful number, since it uses less digits than its factorization.

42672105157 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342780.

The product of its (nonzero) digits is 117600, while the sum is 40.

The spelling of 42672105157 in words is "forty-two billion, six hundred seventy-two million, one hundred five thousand, one hundred fifty-seven".

Divisors: 1 11 47 241 517 2651 11327 124597 342481 3767291 16096607 82537921 177062677 907917131 3879282287 42672105157