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75976307044 = 22114172672
BaseRepresentation
bin100011011000010001…
…0100111000101100100
321021002220211021220221
41012300202213011210
52221044413311134
654523015534124
75326522645231
oct1066042470544
9237086737827
1075976307044
112a248710000
121288438a344
13721a639101
14396a618788
151e9a1185b4
hex11b08a7164

75976307044 has 135 divisors (see below), whose sum is σ = 157716152265. Its totient is φ = 32018110080.

The previous prime is 75976307039. The next prime is 75976307051. The reversal of 75976307044 is 44070367957.

The square root of 75976307044 is 275638.

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., 59151104100 + 16825202944 = 243210^2 + 129712^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 75976306982 and 75976307000.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1133974699 + ... + 1133974765.

Almost surely, 275976307044 is an apocalyptic number.

75976307044 is the 275638-th square number.

It is an amenable number.

75976307044 is an abundant number, since it is smaller than the sum of its proper divisors (81739845221).

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

75976307044 is an equidigital number, since it uses as much as digits as its factorization.

75976307044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 4445280, while the sum is 52.

The spelling of 75976307044 in words is "seventy-five billion, nine hundred seventy-six million, three hundred seven thousand, forty-four".

Divisors: 1 2 4 11 17 22 34 44 67 68 121 134 187 242 268 289 374 484 578 737 748 1139 1156 1331 1474 2057 2278 2662 2948 3179 4114 4489 4556 5324 6358 8107 8228 8978 12529 12716 14641 16214 17956 19363 22627 25058 29282 32428 34969 38726 45254 49379 50116 58564 69938 76313 77452 89177 90508 98758 137819 139876 152626 178354 197516 212993 248897 275638 305252 356708 384659 425986 497794 543169 551276 769318 839443 851972 980947 995588 1086338 1297321 1516009 1538636 1678886 1961894 2172676 2342923 2594642 3032018 3357772 3923788 4231249 4685846 5189284 5974859 6064036 8462498 9233873 9371692 11949718 14270531 16676099 16924996 18467746 23899436 25772153 28541062 33352198 36935492 51544306 57082124 65723449 66704396 101572603 103088612 131446898 156975841 203145206 262893796 283493683 313951682 406290412 566987366 627903364 1117298633 1133974732 1726734251 2234597266 3453468502 4469194532 6906937004 18994076761 37988153522 75976307044