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78530888128 = 2671135944389
BaseRepresentation
bin100100100100011001…
…1100100000111000000
321111200221201110101011
41021020303210013000
52241312401410003
6100024313250304
75450032351420
oct1111063440700
9244627643334
1078530888128
1130339703640
1213277a03994
137536968b54
143b2d9d6480
15209952646d
hex1248ce41c0

78530888128 has 112 divisors (see below), whose sum is σ = 194833036800. Its totient is φ = 30510535680.

The previous prime is 78530888101. The next prime is 78530888129. The reversal of 78530888128 is 82188803587.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-3 number, since 3×785308881283 (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78530888129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1746958 + ... + 1791346.

Almost surely, 278530888128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78530888128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97416518400).

78530888128 is an abundant number, since it is smaller than the sum of its proper divisors (116302148672).

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

78530888128 is a wasteful number, since it uses less digits than its factorization.

78530888128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44778 (or 44768 counting only the distinct ones).

The product of its (nonzero) digits is 6881280, while the sum is 58.

The spelling of 78530888128 in words is "seventy-eight billion, five hundred thirty million, eight hundred eighty-eight thousand, one hundred twenty-eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 154 176 224 308 352 359 448 616 704 718 1232 1436 2464 2513 2872 3949 4928 5026 5744 7898 10052 11488 15796 20104 22976 27643 31592 40208 44389 55286 63184 80416 88778 110572 126368 160832 177556 221144 252736 310723 355112 442288 488279 621446 710224 884576 976558 1242892 1420448 1769152 1953116 2485784 2840896 3417953 3906232 4971568 6835906 7812464 9943136 13671812 15624928 15935651 19886272 27343624 31249856 31871302 54687248 63742604 109374496 111549557 127485208 175292161 218748992 223099114 254970416 350584322 446198228 509940832 701168644 892396456 1019881664 1227045127 1402337288 1784792912 2454090254 2804674576 3569585824 4908180508 5609349152 7139171648 9816361016 11218698304 19632722032 39265444064 78530888128