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2332395106368 = 263149384721193
BaseRepresentation
bin100001111100001101100…
…101001111000001000000
322020222022121212210100120
4201330031211033001000
5301203221121400433
64543253145420240
7330336632201565
oct41741545170100
98228277783316
102332395106368
1181a188260a68
1231804a49a680
1313bc36a1c472
1480c6218486c
1540a0e6c17b3
hex21f0d94f040

2332395106368 has 112 divisors (see below), whose sum is σ = 6214453814400. Its totient is φ = 772009979904.

The previous prime is 2332395106339. The next prime is 2332395106399. The reversal of 2332395106368 is 8636015932332.

It is a self number, because there is not a number n which added to its sum of digits gives 2332395106368.

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, 110044380 + ... + 110065572.

Almost surely, 22332395106368 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 2332395106368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3107226907200).

2332395106368 is an abundant number, since it is smaller than the sum of its proper divisors (3882058708032).

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

2332395106368 is a wasteful number, since it uses less digits than its factorization.

2332395106368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25204 (or 25194 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 51.

The spelling of 2332395106368 in words is "two trillion, three hundred thirty-two billion, three hundred ninety-five million, one hundred six thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 149 192 298 447 596 894 1192 1788 2384 3576 3847 4768 7152 7694 9536 11541 14304 15388 21193 23082 28608 30776 42386 46164 61552 63579 84772 92328 123104 127158 169544 184656 246208 254316 339088 369312 508632 573203 678176 738624 1017264 1146406 1356352 1719609 2034528 2292812 3157757 3439218 4069056 4585624 6315514 6878436 9171248 9473271 12631028 13756872 18342496 18946542 25262056 27513744 36684992 37893084 50524112 55027488 75786168 81529471 101048224 110054976 151572336 163058942 202096448 244588413 303144672 326117884 489176826 606289344 652235768 978353652 1304471536 1956707304 2608943072 3913414608 5217886144 7826829216 12147891179 15653658432 24295782358 36443673537 48591564716 72887347074 97183129432 145774694148 194366258864 291549388296 388732517728 583098776592 777465035456 1166197553184 2332395106368