Search a number
-
+
30747246544764 = 22323723083518427
BaseRepresentation
bin1101111110110111001101…
…01101010100011101111100
311000212102000110220022100100
412333123212231110131330
513012230330103413024
6145221031242001100
76322262301254211
oct677334655243574
9130772013808310
1030747246544764
11988491a106062
1235470327a6190
1314205b7067449
14784263435b08
15384c16b327c9
hex1bf6e6b5477c

30747246544764 has 36 divisors (see below), whose sum is σ = 79822806724024. Its totient is φ = 9972079960032.

The previous prime is 30747246544741. The next prime is 30747246544771. The reversal of 30747246544764 is 46744564274703.

30747246544764 is a `hidden beast` number, since 3 + 0 + 7 + 4 + 7 + 24 + 6 + 544 + 7 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11541757882 + ... + 11541760545.

Almost surely, 230747246544764 is an apocalyptic number.

It is an amenable number.

30747246544764 is an abundant number, since it is smaller than the sum of its proper divisors (49075560179260).

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

30747246544764 is a wasteful number, since it uses less digits than its factorization.

30747246544764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23083518474 (or 23083518469 counting only the distinct ones).

The product of its (nonzero) digits is 379330560, while the sum is 63.

The spelling of 30747246544764 in words is "thirty trillion, seven hundred forty-seven billion, two hundred forty-six million, five hundred forty-four thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 444 666 1332 23083518427 46167036854 69250555281 92334073708 138501110562 207751665843 277002221124 415503331686 831006663372 854090181799 1708180363598 2562270545397 3416360727196 5124541090794 7686811636191 10249082181588 15373623272382 30747246544764