Search a number
-
+
69378441216 = 2163750411
BaseRepresentation
bin100000010011101000…
…1110000000000000000
320122002002202222111220
41000213101300000000
52114041340104331
651512204435040
75004156006630
oct1004721600000
9218062688456
1069378441216
1127472359827
1211542848a80
136708740ca6
14350225a6c0
151c10c85296
hex1027470000

69378441216 has 136 divisors (see below), whose sum is σ = 211441640064. Its totient is φ = 19822018560.

The previous prime is 69378441179. The next prime is 69378441269. The reversal of 69378441216 is 61214487396.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1351051 + ... + 1401461.

Almost surely, 269378441216 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 69378441216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105720820032).

69378441216 is an abundant number, since it is smaller than the sum of its proper divisors (142063198848).

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

69378441216 is an frugal number, since it uses more digits than its factorization.

69378441216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50453 (or 50423 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 51.

The spelling of 69378441216 in words is "sixty-nine billion, three hundred seventy-eight million, four hundred forty-one thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 512 672 768 896 1024 1344 1536 1792 2048 2688 3072 3584 4096 5376 6144 7168 8192 10752 12288 14336 16384 21504 24576 28672 32768 43008 49152 50411 57344 65536 86016 98304 100822 114688 151233 172032 196608 201644 229376 302466 344064 352877 403288 458752 604932 688128 705754 806576 1058631 1209864 1376256 1411508 1613152 2117262 2419728 2823016 3226304 4234524 4839456 5646032 6452608 8469048 9678912 11292064 12905216 16938096 19357824 22584128 25810432 33876192 38715648 45168256 51620864 67752384 77431296 90336512 103241728 135504768 154862592 180673024 206483456 271009536 309725184 361346048 412966912 542019072 619450368 722692096 825933824 1084038144 1238900736 1445384192 1651867648 2168076288 2477801472 2890768384 3303735296 4336152576 4955602944 5781536768 8672305152 9911205888 11563073536 17344610304 23126147072 34689220608 69378441216