Search a number
-
+
78233473512 = 23341133473079
BaseRepresentation
bin100100011011100010…
…1000001000111101000
321110221020002020020000
41020313011001013220
52240210232123022
655535010503000
75436461360415
oct1106705010750
9243836066200
1078233473512
11301a6835637
12131b4294a60
1374ba164a7c
143b022d710c
15207d3786ac
hex12371411e8

78233473512 has 160 divisors (see below), whose sum is σ = 221774414400. Its totient is φ = 25764189696.

The previous prime is 78233473489. The next prime is 78233473519. The reversal of 78233473512 is 21537433287.

It is a happy number.

78233473512 is a `hidden beast` number, since 78 + 23 + 3 + 47 + 3 + 512 = 666.

It is a super-2 number, since 2×782334735122 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (78233473519) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 25407189 + ... + 25410267.

It is an arithmetic number, because the mean of its divisors is an integer number (1386090090).

Almost surely, 278233473512 is an apocalyptic number.

78233473512 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78233473512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110887207200).

78233473512 is an abundant number, since it is smaller than the sum of its proper divisors (143540940888).

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

78233473512 is a wasteful number, since it uses less digits than its factorization.

78233473512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3557 (or 3544 counting only the distinct ones).

The product of its digits is 846720, while the sum is 45.

The spelling of 78233473512 in words is "seventy-eight billion, two hundred thirty-three million, four hundred seventy-three thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 113 162 216 226 324 339 347 452 648 678 694 904 1017 1041 1356 1388 2034 2082 2712 2776 3051 3079 3123 4068 4164 6102 6158 6246 8136 8328 9153 9237 9369 12204 12316 12492 18306 18474 18738 24408 24632 24984 27711 28107 36612 36948 37476 39211 55422 56214 73224 73896 74952 78422 83133 110844 112428 117633 156844 166266 221688 224856 235266 249399 313688 332532 347927 352899 470532 498798 665064 695854 705798 941064 997596 1043781 1058697 1068413 1391708 1411596 1995192 2087562 2117394 2136826 2783416 2823192 3131343 3176091 3205239 4175124 4234788 4273652 6262686 6352182 6410478 8350248 8469576 8547304 9394029 9615717 12525372 12704364 12820956 18788058 19231434 25050744 25408728 25641912 28182087 28847151 37576116 38462868 56364174 57694302 75152232 76925736 86541453 112728348 115388604 120730669 173082906 225456696 230777208 241461338 346165812 362192007 482922676 692331624 724384014 965845352 1086576021 1448768028 2173152042 2897536056 3259728063 4346304084 6519456126 8692608168 9779184189 13038912252 19558368378 26077824504 39116736756 78233473512