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256300504134544 = 241132354192
BaseRepresentation
bin111010010001101010011100…
…100000010011001110010000
31020121111002101210212120221101
4322101222130200103032100
5232043211413024301134
62305034454240234144
7104662046264406502
oct7221523440231620
91217432353776841
10256300504134544
1174735484930901
12248b490830b954
13b0020594424bc
1447410210add72
151e96e6e728e14
hexe91a9c813390

256300504134544 has 45 divisors (see below), whose sum is σ = 501029795204913. Its totient is φ = 127012592937216.

The previous prime is 256300504134541. The next prime is 256300504134583. The reversal of 256300504134544 is 445431405003652.

The square root of 256300504134544 is 16009388.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 4516220019600 + 251784284114944 = 2125140^2 + 15867712^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 256300504134494 and 256300504134503.

It is not an unprimeable number, because it can be changed into a prime (256300504134541) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 7236225667 + ... + 7236261085.

Almost surely, 2256300504134544 is an apocalyptic number.

256300504134544 is the 16009388-th square number.

It is an amenable number.

256300504134544 is a deficient number, since it is larger than the sum of its proper divisors (244729291070369).

256300504134544 is an frugal number, since it uses more digits than its factorization.

256300504134544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71072 (or 35534 counting only the distinct ones).

The product of its (nonzero) digits is 3456000, while the sum is 46.

The spelling of 256300504134544 in words is "two hundred fifty-six trillion, three hundred billion, five hundred four million, one hundred thirty-four thousand, five hundred forty-four".

Divisors: 1 2 4 8 16 113 226 452 904 1808 12769 25538 35419 51076 70838 102152 141676 204304 283352 566704 4002347 8004694 16009388 32018776 64037552 452265211 904530422 1254505561 1809060844 2509011122 3618121688 5018022244 7236243376 10036044488 20072088976 141759128393 283518256786 567036513572 1134073027144 2268146054288 16018781508409 32037563016818 64075126033636 128150252067272 256300504134544