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495047742444 = 2236809209851
BaseRepresentation
bin1110011010000110010…
…01010001001111101100
31202022210201122222000000
413031003021101033230
531102324210224234
61015231035104300
750523513244563
oct7150311211754
91668721588000
10495047742444
11180a485aa062
127bb3a5a2090
13378b5166b68
1419d6362cbda
15cd25eac899
hex73432513ec

495047742444 has 84 divisors (see below), whose sum is σ = 1300517898120. Its totient is φ = 164811153600.

The previous prime is 495047742433. The next prime is 495047742467. The reversal of 495047742444 is 444247740594.

495047742444 is a `hidden beast` number, since 4 + 9 + 504 + 7 + 74 + 24 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 2254119 + ... + 2463969.

It is an arithmetic number, because the mean of its divisors is an integer number (15482355930).

Almost surely, 2495047742444 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 495047742444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (650258949060).

495047742444 is an abundant number, since it is smaller than the sum of its proper divisors (805470155676).

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

495047742444 is a wasteful number, since it uses less digits than its factorization.

495047742444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210682 (or 210665 counting only the distinct ones).

The product of its (nonzero) digits is 18063360, while the sum is 54.

The spelling of 495047742444 in words is "four hundred ninety-five billion, forty-seven million, seven hundred forty-two thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 729 809 972 1458 1618 2427 2916 3236 4854 7281 9708 14562 21843 29124 43686 65529 87372 131058 196587 209851 262116 393174 419702 589761 629553 786348 839404 1179522 1259106 1888659 2359044 2518212 3777318 5665977 7554636 11331954 16997931 22663908 33995862 50993793 67991724 101987586 152981379 169769459 203975172 305962758 339538918 509308377 611925516 679077836 1018616754 1527925131 2037233508 3055850262 4583775393 6111700524 9167550786 13751326179 18335101572 27502652358 41253978537 55005304716 82507957074 123761935611 165015914148 247523871222 495047742444