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112371791872 = 211313747837
BaseRepresentation
bin110100010100111100…
…0010111100000000000
3101202001101100111011111
41220221320113200000
53320114134314442
6123342313253104
711055451320364
oct1505170274000
9352041314144
10112371791872
1143724a4648a
1219941104194
13a79a9ba352
1456201bd2a4
152dca44ab17
hex1a29e17800

112371791872 has 96 divisors (see below), whose sum is σ = 238210277760. Its totient is φ = 52902789120.

The previous prime is 112371791869. The next prime is 112371791879. The reversal of 112371791872 is 278197173211.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112371791879) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2325138 + ... + 2372974.

It is an arithmetic number, because the mean of its divisors is an integer number (2481357060).

Almost surely, 2112371791872 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 112371791872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119105138880).

112371791872 is an abundant number, since it is smaller than the sum of its proper divisors (125838485888).

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

112371791872 is an equidigital number, since it uses as much as digits as its factorization.

112371791872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47927 (or 47907 counting only the distinct ones).

The product of its digits is 296352, while the sum is 49.

The spelling of 112371791872 in words is "one hundred twelve billion, three hundred seventy-one million, seven hundred ninety-one thousand, eight hundred seventy-two".

Divisors: 1 2 4 8 16 31 32 37 62 64 74 124 128 148 248 256 296 496 512 592 992 1024 1147 1184 1984 2048 2294 2368 3968 4588 4736 7936 9176 9472 15872 18352 18944 31744 36704 37888 47837 63488 73408 75776 95674 146816 191348 293632 382696 587264 765392 1174528 1482947 1530784 1769969 2349056 2965894 3061568 3539938 5931788 6123136 7079876 11863576 12246272 14159752 23727152 24492544 28319504 47454304 48985088 54869039 56639008 94908608 97970176 109738078 113278016 189817216 219476156 226556032 379634432 438952312 453112064 759268864 877904624 906224128 1518537728 1755809248 1812448256 3037075456 3511618496 3624896512 7023236992 14046473984 28092947968 56185895936 112371791872