Search a number
-
+
78572822528 = 2131921632
BaseRepresentation
bin100100100101101001…
…1100010000000000000
321111210212121221120002
41021023103202000000
52241404120310103
6100032412135132
75451051654224
oct1111323420000
9244725557502
1078572822528
1130360345572
1213289a674a8
13754255bcc5
143b353d0784
15209d05b488
hex124b4e2000

78572822528 has 126 divisors (see below), whose sum is σ = 166865327559. Its totient is φ = 36990369792.

The previous prime is 78572822521. The next prime is 78572822551. The reversal of 78572822528 is 82522827587.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 39286411264 + 39286411264 = 198208^2 + 198208^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=198208.

It is not an unprimeable number, because it can be changed into a prime (78572822521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 482041775 + ... + 482041937.

Almost surely, 278572822528 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 78572822528

78572822528 is an abundant number, since it is smaller than the sum of its proper divisors (88292505031).

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

78572822528 is an frugal number, since it uses more digits than its factorization.

78572822528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390 (or 184 counting only the distinct ones).

The product of its digits is 10035200, while the sum is 56.

The spelling of 78572822528 in words is "seventy-eight billion, five hundred seventy-two million, eight hundred twenty-two thousand, five hundred twenty-eight".

Divisors: 1 2 4 8 16 19 32 38 64 76 128 152 163 256 304 326 361 512 608 652 722 1024 1216 1304 1444 2048 2432 2608 2888 3097 4096 4864 5216 5776 6194 8192 9728 10432 11552 12388 19456 20864 23104 24776 26569 38912 41728 46208 49552 53138 58843 77824 83456 92416 99104 106276 117686 155648 166912 184832 198208 212552 235372 333824 369664 396416 425104 470744 504811 667648 739328 792832 850208 941488 1009622 1335296 1478656 1585664 1700416 1882976 2019244 2957312 3171328 3400832 3765952 4038488 6342656 6801664 7531904 8076976 9591409 12685312 13603328 15063808 16153952 19182818 25370624 27206656 30127616 32307904 38365636 54413312 60255232 64615808 76731272 108826624 120510464 129231616 153462544 217653248 241020928 258463232 306925088 482041856 516926464 613850176 1033852928 1227700352 2067705856 2455400704 4135411712 4910801408 9821602816 19643205632 39286411264 78572822528