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1077481368324 = 2232113215312
BaseRepresentation
bin11111010110111101110…
…01001110101100000100
310211000011112021202100100
433223132321032230010
5120123140212241244
62142553233044100
7140562664342104
oct17533671165404
93730145252310
101077481368324
11385a59162799
121549a63b6630
137a7b567984a
143a2168c1204
151d063a78b69
hexfadee4eb04

1077481368324 has 81 divisors (see below), whose sum is σ = 2749745755029. Its totient is φ = 355749528960.

The previous prime is 1077481368311. The next prime is 1077481368389. The reversal of 1077481368324 is 4238631847701.

The square root of 1077481368324 is 1038018.

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

1077481368324 is a `hidden beast` number, since 1 + 0 + 77 + 481 + 3 + 68 + 32 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 18986084100 + 1058495284224 = 137790^2 + 1028832^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 703775439 + ... + 703776969.

Almost surely, 21077481368324 is an apocalyptic number.

1077481368324 is the 1038018-th square number.

It is an amenable number.

1077481368324 is an abundant number, since it is smaller than the sum of its proper divisors (1672264386705).

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

1077481368324 is an equidigital number, since it uses as much as digits as its factorization.

1077481368324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3298 (or 1649 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The spelling of 1077481368324 in words is "one trillion, seventy-seven billion, four hundred eighty-one million, three hundred sixty-eight thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 36 113 226 339 452 678 1017 1356 1531 2034 3062 4068 4593 6124 9186 12769 13779 18372 25538 27558 38307 51076 55116 76614 114921 153228 173003 229842 346006 459684 519009 692012 1038018 1557027 2076036 2343961 3114054 4687922 6228108 7031883 9375844 14063766 19549339 21095649 28127532 39098678 42191298 58648017 78197356 84382596 117296034 175944051 234592068 264867593 351888102 529735186 703776204 794602779 1059470372 1589205558 2383808337 3178411116 4767616674 9535233348 29930038009 59860076018 89790114027 119720152036 179580228054 269370342081 359160456108 538740684162 1077481368324