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121556622673984 = 26532260032
BaseRepresentation
bin11011101000111000011011…
…010100001000100001000000
3120221101200220000222001002111
4123220320123110020201000
5111413040430401031414
61110310201435025104
734414114266456661
oct3350703324104100
9527350800861074
10121556622673984
1135805968585633
12117725a2b9b194
1352a9981685ba4
14220352c805368
15e0be779c88c4
hex6e8e1b508840

121556622673984 has 63 divisors (see below), whose sum is σ = 245860456108813. Its totient is φ = 59629257489152.

The previous prime is 121556622673961. The next prime is 121556622673999. The reversal of 121556622673984 is 489376226655121.

It is a happy number.

The square root of 121556622673984 is 11025272.

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., 87629818766400 + 33926803907584 = 9361080^2 + 5824672^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4674702327 + ... + 4674728329.

Almost surely, 2121556622673984 is an apocalyptic number.

121556622673984 is the 11025272-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121556622673984

121556622673984 is an abundant number, since it is smaller than the sum of its proper divisors (124303833434829).

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

121556622673984 is an frugal number, since it uses more digits than its factorization.

121556622673984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52124 (or 26058 counting only the distinct ones).

The product of its digits is 261273600, while the sum is 67.

The spelling of 121556622673984 in words is "one hundred twenty-one trillion, five hundred fifty-six billion, six hundred twenty-two million, six hundred seventy-three thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 16 32 53 64 106 212 424 848 1696 2809 3392 5618 11236 22472 26003 44944 52006 89888 104012 179776 208024 416048 832096 1378159 1664192 2756318 5512636 11025272 22050544 44101088 73042427 88202176 146084854 292169708 584339416 676156009 1168678832 1352312018 2337357664 2704624036 4674715328 5409248072 10818496144 21636992288 35836268477 43273984576 71672536954 143345073908 286690147816 573380295632 1146760591264 1899322229281 2293521182528 3798644458562 7597288917124 15194577834248 30389155668496 60778311336992 121556622673984