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1057456564304 = 247171237344887
BaseRepresentation
bin11110110001101010101…
…00101010100001010000
310202002110222002022101012
433120311110222201100
5114311132340024204
62125442220030052
7136253521330220
oct17306524524120
93662428068335
101057456564304
11378512732088
12150b38092328
1378943ac8c9a
14392771c0080
151c790a5d76e
hexf63552a850

1057456564304 has 80 divisors (see below), whose sum is σ = 2479502515968. Its totient is φ = 426493126656.

The previous prime is 1057456564237. The next prime is 1057456564391. The reversal of 1057456564304 is 4034656547501.

It is a super-2 number, since 2×10574565643042 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23535749 + ... + 23580635.

Almost surely, 21057456564304 is an apocalyptic number.

1057456564304 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1057456564304 is an abundant number, since it is smaller than the sum of its proper divisors (1422045951664).

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

1057456564304 is a wasteful number, since it uses less digits than its factorization.

1057456564304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57292 (or 57286 counting only the distinct ones).

The product of its (nonzero) digits is 6048000, while the sum is 50.

The spelling of 1057456564304 in words is "one trillion, fifty-seven billion, four hundred fifty-six million, five hundred sixty-four thousand, three hundred four".

Divisors: 1 2 4 7 8 14 16 17 28 34 56 68 112 119 136 238 272 476 952 1904 12373 24746 44887 49492 86611 89774 98984 173222 179548 197968 210341 314209 346444 359096 420682 628418 692888 718192 763079 841364 1256836 1385776 1472387 1526158 1682728 2513672 2944774 3052316 3365456 5027344 5341553 5889548 6104632 10683106 11779096 12209264 21366212 23558192 42732424 85464848 555386851 1110773702 2221547404 3887707957 4443094808 7775415914 8886189616 9441576467 15550831828 18883152934 31101663656 37766305868 62203327312 66091035269 75532611736 132182070538 151065223472 264364141076 528728282152 1057456564304