Search a number
-
+
1287082538656 = 25172365960549
BaseRepresentation
bin10010101110101100000…
…110001111011010100000
311120001011222212102111221
4102232230012033122200
5132041421112214111
62423135541344424
7161663051032255
oct22565406173240
94501158772457
101287082538656
114569375a2302
12189541408114
13944a9b644a5
144641bb8742c
152372ed79371
hex12bac18f6a0

1287082538656 has 24 divisors (see below), whose sum is σ = 2682999263700. Its totient is φ = 605685900288.

The previous prime is 1287082538633. The next prime is 1287082538663. The reversal of 1287082538656 is 6568352807821.

It can be written as a sum of positive squares in 2 ways, for example, as 1283371779600 + 3710759056 = 1132860^2 + 60916^2 .

It is a super-2 number, since 2×12870825386562 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1287082538594 and 1287082538603.

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 3 ways as a sum of consecutive naturals, for example, 1182979731 + ... + 1182980818.

Almost surely, 21287082538656 is an apocalyptic number.

1287082538656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1287082538656 is an abundant number, since it is smaller than the sum of its proper divisors (1395916725044).

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

1287082538656 is a wasteful number, since it uses less digits than its factorization.

1287082538656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2365960576 (or 2365960568 counting only the distinct ones).

The product of its (nonzero) digits is 38707200, while the sum is 61.

The spelling of 1287082538656 in words is "one trillion, two hundred eighty-seven billion, eighty-two million, five hundred thirty-eight thousand, six hundred fifty-six".

Divisors: 1 2 4 8 16 17 32 34 68 136 272 544 2365960549 4731921098 9463842196 18927684392 37855368784 40221329333 75710737568 80442658666 160885317332 321770634664 643541269328 1287082538656