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111974910336 = 2732373737043
BaseRepresentation
bin110100001001000111…
…0011000100110000000
3101201000201112211001100
41220102032120212000
53313311034112321
6123235054534400
711042562014352
oct1502216304600
9351021484040
10111974910336
1143540a10513
1219850207400
13a7366cb2c3
1455c35cb0d2
152da56a1326
hex1a12398980

111974910336 has 192 divisors, whose sum is σ = 331862422320. Its totient is φ = 36213682176.

The previous prime is 111974910331. The next prime is 111974910337. The reversal of 111974910336 is 633019479111.

It is a tau number, because it is divible by the number of its divisors (192).

It is a junction number, because it is equal to n+sod(n) for n = 111974910291 and 111974910300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111974910331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15895231 + ... + 15902273.

Almost surely, 2111974910336 is an apocalyptic number.

111974910336 is a gapful number since it is divisible by the number (16) 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 111974910336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165931211160).

111974910336 is an abundant number, since it is smaller than the sum of its proper divisors (219887511984).

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

111974910336 is a wasteful number, since it uses less digits than its factorization.

111974910336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7473 (or 7458 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 45.

The spelling of 111974910336 in words is "one hundred eleven billion, nine hundred seventy-four million, nine hundred ten thousand, three hundred thirty-six".