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111948398256 = 2434161756041
BaseRepresentation
bin110100001000010100…
…1001111111010110000
3101200221212122212022110
41220100221033322300
53313232242221011
6123232310405320
711042120453562
oct1502051177260
9350855585273
10111948398256
1143527a52602
1219843360840
13a731077a96
1455bdc89332
152da31b5ba6
hex1a10a4feb0

111948398256 has 40 divisors (see below), whose sum is σ = 289212138544. Its totient is φ = 37314570240.

The previous prime is 111948398251. The next prime is 111948398281. The reversal of 111948398256 is 652893849111.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 111948398196 and 111948398205.

It is not an unprimeable number, because it can be changed into a prime (111948398251) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1969596 + ... + 2025636.

Almost surely, 2111948398256 is an apocalyptic number.

111948398256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

111948398256 is an abundant number, since it is smaller than the sum of its proper divisors (177263740288).

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

111948398256 is a wasteful number, since it uses less digits than its factorization.

111948398256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97669 (or 97663 counting only the distinct ones).

The product of its digits is 3732480, while the sum is 57.

The spelling of 111948398256 in words is "one hundred eleven billion, nine hundred forty-eight million, three hundred ninety-eight thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 48 41617 56041 83234 112082 124851 166468 168123 224164 249702 332936 336246 448328 499404 665872 672492 896656 998808 1344984 1997616 2689968 2332258297 4664516594 6996774891 9329033188 13993549782 18658066376 27987099564 37316132752 55974199128 111948398256