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3111820196352 = 2937593488057
BaseRepresentation
bin101101010010000110111…
…011111111101000000000
3102000111011002200210210220
4231102012323333220000
5401441001432240402
610341314522223040
7440551543146330
oct55220673775000
912014132623726
103111820196352
11a9a79641529a
12423112354a80
1319759c16b76a
14aa881b2d0c0
1555e2b533dbc
hex2d486effa00

3111820196352 has 160 divisors (see below), whose sum is σ = 9490377612672. Its totient is φ = 887590354944.

The previous prime is 3111820196339. The next prime is 3111820196393. The reversal of 3111820196352 is 2536910281113.

It is a happy number.

3111820196352 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6131908 + ... + 6619964.

Almost surely, 23111820196352 is an apocalyptic number.

3111820196352 is a gapful number since it is divisible by the number (32) 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 3111820196352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4745188806336).

3111820196352 is an abundant number, since it is smaller than the sum of its proper divisors (6378557416320).

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

3111820196352 is an equidigital number, since it uses as much as digits as its factorization.

3111820196352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488678 (or 488662 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 42.

The spelling of 3111820196352 in words is "three trillion, one hundred eleven billion, eight hundred twenty million, one hundred ninety-six thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 512 593 672 768 896 1186 1344 1536 1779 1792 2372 2688 3558 3584 4151 4744 5376 7116 8302 9488 10752 12453 14232 16604 18976 24906 28464 33208 37952 49812 56928 66416 75904 99624 113856 132832 151808 199248 227712 265664 303616 398496 455424 488057 531328 796992 910848 976114 1062656 1464171 1593984 1952228 2125312 2928342 3187968 3416399 3904456 5856684 6375936 6832798 7808912 10249197 11713368 13665596 15617824 20498394 23426736 27331192 31235648 40996788 46853472 54662384 62471296 81993576 93706944 109324768 124942592 163987152 187413888 218649536 249885184 289417801 327974304 374827776 437299072 578835602 655948608 749655552 868253403 874598144 1157671204 1311897216 1736506806 1749196288 2025924607 2315342408 2623794432 3473013612 4051849214 4630684816 5247588864 6077773821 6946027224 8103698428 9261369632 12155547642 13892054448 16207396856 18522739264 24311095284 27784108896 32414793712 37045478528 48622190568 55568217792 64829587424 74090957056 97244381136 111136435584 129659174848 148181914112 194488762272 222272871168 259318349696 388977524544 444545742336 518636699392 777955049088 1037273398784 1555910098176 3111820196352