Search a number
-
+
78229852416 = 283258272
BaseRepresentation
bin100100011011011011…
…1001101000100000000
321110220222021021000100
41020312313031010000
52240203320234131
655534401122400
75436415526322
oct1106667150400
9243828237010
1078229852416
11301a4791aa1
12131b3029400
1374b9497801
143b01a33612
15207cdb07e6
hex1236dcd100

78229852416 has 81 divisors (see below), whose sum is σ = 225594665751. Its totient is φ = 26072142336.

The previous prime is 78229852411. The next prime is 78229852423. The reversal of 78229852416 is 61425892287.

The square root of 78229852416 is 279696.

It is a perfect power (a square), and thus also a powerful number.

78229852416 is a `hidden beast` number, since 7 + 8 + 22 + 98 + 524 + 1 + 6 = 666.

It is a super-2 number, since 2×782298524162 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (78229852411) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 13422495 + ... + 13428321.

Almost surely, 278229852416 is an apocalyptic number.

78229852416 is the 279696-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78229852416

78229852416 is an abundant number, since it is smaller than the sum of its proper divisors (147364813335).

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

78229852416 is an frugal number, since it uses more digits than its factorization.

78229852416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11676 (or 5832 counting only the distinct ones).

The product of its digits is 3870720, while the sum is 54.

The spelling of 78229852416 in words is "seventy-eight billion, two hundred twenty-nine million, eight hundred fifty-two thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2304 5827 11654 17481 23308 34962 46616 52443 69924 93232 104886 139848 186464 209772 279696 372928 419544 559392 745856 839088 1118784 1491712 1678176 2237568 3356352 4475136 6712704 13425408 33953929 67907858 101861787 135815716 203723574 271631432 305585361 407447148 543262864 611170722 814894296 1086525728 1222341444 1629788592 2173051456 2444682888 3259577184 4346102912 4889365776 6519154368 8692205824 9778731552 13038308736 19557463104 26076617472 39114926208 78229852416