Search a number
-
+
1981574707437 = 341316729338459
BaseRepresentation
bin11100110101011111000…
…011100111100011101101
321000102210100102000020000
4130311133003213203231
5224431231111114222
64114153423014513
7263110161046653
oct34653703474355
97012710360200
101981574707437
116a4421298876
1228006143a439
13114b281a80b0
146bca1796dd3
153682a6169ac
hex1cd5f0e78ed

1981574707437 has 80 divisors (see below), whose sum is σ = 3217950046080. Its totient is φ = 1207960242048.

The previous prime is 1981574707393. The next prime is 1981574707447. The reversal of 1981574707437 is 7347074751891.

It is a happy number.

1981574707437 is a `hidden beast` number, since 1 + 9 + 8 + 157 + 47 + 0 + 7 + 437 = 666.

It is not a de Polignac number, because 1981574707437 - 28 = 1981574707181 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1981574707447) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 51505114 + ... + 51543572.

It is an arithmetic number, because the mean of its divisors is an integer number (40224375576).

Almost surely, 21981574707437 is an apocalyptic number.

It is an amenable number.

1981574707437 is a deficient number, since it is larger than the sum of its proper divisors (1236375338643).

1981574707437 is a wasteful number, since it uses less digits than its factorization.

1981574707437 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38944 (or 38935 counting only the distinct ones).

The product of its (nonzero) digits is 41489280, while the sum is 63.

The spelling of 1981574707437 in words is "one trillion, nine hundred eighty-one billion, five hundred seventy-four million, seven hundred seven thousand, four hundred thirty-seven".

Divisors: 1 3 9 13 27 39 81 117 167 293 351 501 879 1053 1503 2171 2637 3809 4509 6513 7911 11427 13527 19539 23733 34281 38459 48931 58617 102843 115377 146793 175851 308529 346131 440379 499967 636103 1038393 1321137 1499901 1908309 3115179 3963411 4499703 5724927 6422653 11268487 13499109 17174781 19267959 33805461 40497327 51524343 57803877 83494489 101416383 146490331 173411631 250483467 304249149 439470993 520234893 751450401 912747447 1318412979 1881837329 2254351203 3955238937 5645511987 6763053609 11865716811 16936535961 24463885277 50809607883 73391655831 152428823649 220174967493 660524902479 1981574707437