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496478223392 = 251744312
BaseRepresentation
bin1110011100110000110…
…10000111110000100000
31202110111102100220221212
413032120122013300200
531113241411122032
61020025015205252
750604123161144
oct7163032076040
91673442326855
10496478223392
11181612017618
1280279676828
1337a826284a8
141a05b5d7224
15cdab873bb2
hex7398687c20

496478223392 has 90 divisors (see below), whose sum is σ = 1040946039819. Its totient is φ = 233094730240.

The previous prime is 496478223383. The next prime is 496478223403. The reversal of 496478223392 is 293322874694.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 3 ways, for example, as 477928872976 + 18549350416 = 691324^2 + 136196^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=498236.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 1151921417 + ... + 1151921847.

Almost surely, 2496478223392 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 496478223392

496478223392 is an abundant number, since it is smaller than the sum of its proper divisors (544467816427).

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

496478223392 is an frugal number, since it uses more digits than its factorization.

496478223392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 940 (or 450 counting only the distinct ones).

The product of its digits is 31352832, while the sum is 59.

The spelling of 496478223392 in words is "four hundred ninety-six billion, four hundred seventy-eight million, two hundred twenty-three thousand, three hundred ninety-two".

Divisors: 1 2 4 8 16 17 32 34 68 136 272 289 431 544 578 862 1156 1724 2312 3448 4624 4913 6896 7327 9248 9826 13792 14654 19652 29308 39304 58616 78608 83521 117232 124559 157216 167042 185761 234464 249118 334084 371522 498236 668168 743044 996472 1336336 1486088 1992944 2117503 2672672 2972176 3157937 3985888 4235006 5944352 6315874 8470012 12631748 16940024 25263496 33880048 35997551 50526992 53684929 67760096 71995102 101053984 107369858 143990204 214739716 287980408 429479432 575960816 858958864 912643793 1151921632 1717917728 1825287586 3650575172 7301150344 14602300688 15514944481 29204601376 31029888962 62059777924 124119555848 248239111696 496478223392