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11121653439372 = 22375312372019503
BaseRepresentation
bin1010000111010111011000…
…1100111101101110001100
31110101012221011001201020010
42201311312030331232030
52424204121240024442
635353114514553220
72225340640306560
oct241656614755614
943335834051203
1011121653439372
1135a8737475553
1212b754b298810
136289c9034bc8
142a64103236a0
151444768b7b9c
hexa1d7633db8c

11121653439372 has 96 divisors (see below), whose sum is σ = 30241765435392. Its totient is φ = 3115138381056.

The previous prime is 11121653439371. The next prime is 11121653439427. The reversal of 11121653439372 is 27393435612111.

It is not an unprimeable number, because it can be changed into a prime (11121653439371) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4497373 + ... + 6516875.

It is an arithmetic number, because the mean of its divisors is an integer number (315018389952).

Almost surely, 211121653439372 is an apocalyptic number.

11121653439372 is a gapful number since it is divisible by the number (12) 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 11121653439372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15120882717696).

11121653439372 is an abundant number, since it is smaller than the sum of its proper divisors (19120111996020).

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

11121653439372 is a wasteful number, since it uses less digits than its factorization.

11121653439372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2020807 (or 2020805 counting only the distinct ones).

The product of its digits is 816480, while the sum is 48.

The spelling of 11121653439372 in words is "eleven trillion, one hundred twenty-one billion, six hundred fifty-three million, four hundred thirty-nine thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 53 84 106 159 212 318 371 636 742 1113 1237 1484 2226 2474 3711 4452 4948 7422 8659 14844 17318 25977 34636 51954 65561 103908 131122 196683 262244 393366 458927 786732 917854 1376781 1835708 2019503 2753562 4039006 5507124 6058509 8078012 12117018 14136521 24234036 28273042 42409563 56546084 84819126 107033659 169638252 214067318 321100977 428134636 642201954 749235613 1284403908 1498471226 2247706839 2498125211 2996942452 4495413678 4996250422 7494375633 8990827356 9992500844 14988751266 17486876477 29977502532 34973752954 52460629431 69947505908 104921258862 132400636183 209842517724 264801272366 397201908549 529602544732 794403817098 926804453281 1588807634196 1853608906562 2780413359843 3707217813124 5560826719686 11121653439372