Search a number
-
+
47504222554131 = 3374153115667323
BaseRepresentation
bin10101100110100011100000…
…10011111000100000010011
320020012100200221120200021000
422303101300103320200103
522211302121433213011
6245011045533033043
713002031630232010
oct1263216023704023
9206170627520230
1047504222554131
1114155478221272
1253b2778025783
132067823ab56a5
14ba330665c707
15575a61ad6356
hex2b34704f8813

47504222554131 has 64 divisors (see below), whose sum is σ = 83946717066240. Its totient is φ = 25983507214080.

The previous prime is 47504222554121. The next prime is 47504222554163. The reversal of 47504222554131 is 13145522240574.

47504222554131 is a `hidden beast` number, since 4 + 7 + 5 + 0 + 4 + 2 + 225 + 5 + 413 + 1 = 666.

It is not a de Polignac number, because 47504222554131 - 226 = 47504155445267 is a prime.

It is a super-2 number, since 2×475042225541312 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (47504222554121) 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, 57422965 + ... + 58244358.

It is an arithmetic number, because the mean of its divisors is an integer number (1311667454160).

Almost surely, 247504222554131 is an apocalyptic number.

47504222554131 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

47504222554131 is a deficient number, since it is larger than the sum of its proper divisors (36442494512109).

47504222554131 is a wasteful number, since it uses less digits than its factorization.

47504222554131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115667433 (or 115667427 counting only the distinct ones).

The product of its (nonzero) digits is 1344000, while the sum is 45.

The spelling of 47504222554131 in words is "forty-seven trillion, five hundred four billion, two hundred twenty-two million, five hundred fifty-four thousand, one hundred thirty-one".

Divisors: 1 3 7 9 21 27 41 53 63 123 159 189 287 369 371 477 861 1107 1113 1431 2173 2583 3339 6519 7749 10017 15211 19557 45633 58671 136899 410697 115667323 347001969 809671261 1041005907 2429013783 3123017721 4742360243 6130368119 7287041349 14227080729 18391104357 21861124047 33196521701 42681242187 42912576833 55173313071 99589565103 128043726561 128737730499 165519939213 251345092879 298768695309 386213191497 754035278637 896306085927 1158639574491 1759415650153 2262105835911 5278246950459 6786317507733 15834740851377 47504222554131