Search a number
-
+
192298442037 = 313172157271401
BaseRepresentation
bin1011001100010111100…
…0010101110100110101
3200101100121110000002220
42303011320111310311
511122311400121122
6224201330552553
716615222534152
oct2630570256465
9611317400086
10192298442037
117460a503769
1231328438759
131519787c9a0
149443303229
15500727b25c
hex2cc5e15d35

192298442037 has 96 divisors (see below), whose sum is σ = 297015043584. Its totient is φ = 109983744000.

The previous prime is 192298442029. The next prime is 192298442057. The reversal of 192298442037 is 730244892291.

It is a happy number.

It is not a de Polignac number, because 192298442037 - 23 = 192298442029 is a prime.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (192298442057) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 479547037 + ... + 479547437.

It is an arithmetic number, because the mean of its divisors is an integer number (3093906704).

Almost surely, 2192298442037 is an apocalyptic number.

192298442037 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

192298442037 is a deficient number, since it is larger than the sum of its proper divisors (104716601547).

192298442037 is a wasteful number, since it uses less digits than its factorization.

192298442037 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 879 (or 862 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 51.

The spelling of 192298442037 in words is "one hundred ninety-two billion, two hundred ninety-eight million, four hundred forty-two thousand, thirty-seven".

Divisors: 1 3 13 17 39 51 157 221 271 289 401 471 663 813 867 1203 2041 2669 3523 3757 4607 5213 6123 6817 8007 10569 11271 13821 15639 20451 34697 42547 45373 59891 62957 78319 88621 104091 108671 115889 127641 136119 179673 188871 234957 265863 326013 347667 553111 589849 723299 818441 1018147 1070269 1412723 1506557 1659333 1769547 1847407 2169897 2455323 3054441 3210807 4238169 4519671 5542221 9402887 12296083 13913497 17061347 18194573 24016291 28208661 31405919 36888249 41740491 51184041 54583719 72048873 94217757 159849079 221797511 236529449 290042899 408276947 479547237 665392533 709588347 870128697 1224830841 3770557687 4930729283 11311673061 14792187849 64099480679 192298442037