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75502949284 = 227219210332
BaseRepresentation
bin100011001010001010…
…0111001001110100100
321012212221010020011001
41012110110321032210
52214112223334114
654404030123044
75312014323400
oct1062424711644
9235787106131
1075502949284
112a0254a0344
1212771950484
137173551869
1439237da100
151e6d7b4374
hex11945393a4

75502949284 has 81 divisors (see below), whose sum is σ = 162374990337. Its totient is φ = 30625656768.

The previous prime is 75502949281. The next prime is 75502949351. The reversal of 75502949284 is 48294920557.

It is a happy number.

The square root of 75502949284 is 274778.

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., 72894600100 + 2608349184 = 269990^2 + 51072^2 .

It is a super-2 number, since 2×755029492842 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (75502949281) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 73090432 + ... + 73091464.

Almost surely, 275502949284 is an apocalyptic number.

75502949284 is the 274778-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75502949284

75502949284 is an abundant number, since it is smaller than the sum of its proper divisors (86872041053).

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

75502949284 is a wasteful number, since it uses less digits than its factorization.

75502949284 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2122 (or 1061 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 55.

The spelling of 75502949284 in words is "seventy-five billion, five hundred two million, nine hundred forty-nine thousand, two hundred eighty-four".

Divisors: 1 2 4 7 14 19 28 38 49 76 98 133 196 266 361 532 722 931 1033 1444 1862 2066 2527 3724 4132 5054 7231 10108 14462 17689 19627 28924 35378 39254 50617 70756 78508 101234 137389 202468 274778 372913 549556 745826 961723 1067089 1491652 1923446 2134178 2610391 3846892 4268356 5220782 7469623 10441564 14939246 18272737 20274691 29878492 36545474 40549382 52287361 73090948 81098764 104574722 141922837 209149444 283845674 385219129 567691348 770438258 993459859 1540876516 1986919718 2696533903 3973839436 5393067806 10786135612 18875737321 37751474642 75502949284