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2380698144608 = 25779831620881
BaseRepresentation
bin100010101001001100101…
…010101100111101100000
322102120222221120101001212
4202221030222230331200
5303001132211111413
65021402211245252
7333666630225140
oct42511452547540
98376887511055
102380698144608
11838715046583
1232548aba9828
131436640377b4
1483325380920
1541dda0b2ca8
hex22a4caacf60

2380698144608 has 96 divisors (see below), whose sum is σ = 5489732828160. Its totient is φ = 995246254080.

The previous prime is 2380698144607. The next prime is 2380698144641. The reversal of 2380698144608 is 8064418960832.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2380698144607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 658328 + ... + 2279208.

It is an arithmetic number, because the mean of its divisors is an integer number (57184716960).

Almost surely, 22380698144608 is an apocalyptic number.

2380698144608 is a gapful number since it is divisible by the number (28) 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 2380698144608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2744866414080).

2380698144608 is an abundant number, since it is smaller than the sum of its proper divisors (3109034683552).

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

2380698144608 is a wasteful number, since it uses less digits than its factorization.

2380698144608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1621060 (or 1621052 counting only the distinct ones).

The product of its (nonzero) digits is 15925248, while the sum is 59.

The spelling of 2380698144608 in words is "two trillion, three hundred eighty billion, six hundred ninety-eight million, one hundred forty-four thousand, six hundred eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 79 83 112 158 166 224 316 332 553 581 632 664 1106 1162 1264 1328 2212 2324 2528 2656 4424 4648 6557 8848 9296 13114 17696 18592 26228 45899 52456 91798 104912 183596 209824 367192 734384 1468768 1620881 3241762 6483524 11346167 12967048 22692334 25934096 45384668 51868192 90769336 128049599 134533123 181538672 256099198 269066246 363077344 512198396 538132492 896347193 941731861 1024396792 1076264984 1792694386 1883463722 2048793584 2152529968 3585388772 3766927444 4097587168 4305059936 7170777544 7533854888 10628116717 14341555088 15067709776 21256233434 28683110176 30135419552 42512466868 74396817019 85024933736 148793634038 170049867472 297587268076 340099734944 595174536152 1190349072304 2380698144608