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78211741488 = 243103137115471
BaseRepresentation
bin100100011010111001…
…0000111011100110000
321110212201012010111020
41020311302013130300
52240134201211423
655532513015440
75436105555636
oct1106562073460
9243781163436
1078211741488
1130195541a91
12131a8b54580
1374b57c619a
143add47b356
15207b4d44e3
hex1235c87730

78211741488 has 80 divisors (see below), whose sum is σ = 205499513856. Its totient is φ = 25628797440.

The previous prime is 78211741459. The next prime is 78211741519. The reversal of 78211741488 is 88414711287.

It is a happy number.

It is a super-2 number, since 2×782117414882 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 78211741488.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 619593 + ... + 735063.

Almost surely, 278211741488 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 78211741488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102749756928).

78211741488 is an abundant number, since it is smaller than the sum of its proper divisors (127287772368).

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

78211741488 is a wasteful number, since it uses less digits than its factorization.

78211741488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115722 (or 115716 counting only the distinct ones).

The product of its digits is 802816, while the sum is 51.

The spelling of 78211741488 in words is "seventy-eight billion, two hundred eleven million, seven hundred forty-one thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 103 137 206 274 309 411 412 548 618 822 824 1096 1236 1644 1648 2192 2472 3288 4944 6576 14111 28222 42333 56444 84666 112888 115471 169332 225776 230942 338664 346413 461884 677328 692826 923768 1385652 1847536 2771304 5542608 11893513 15819527 23787026 31639054 35680539 47458581 47574052 63278108 71361078 94917162 95148104 126556216 142722156 189834324 190296208 253112432 285444312 379668648 570888624 759337296 1629411281 3258822562 4888233843 6517645124 9776467686 13035290248 19552935372 26070580496 39105870744 78211741488