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111669149696 = 23313
BaseRepresentation
bin110100000000000000…
…0000000000000000000
3101200020102012120022012
41220000000000000000
53312144300242241
6123144453232052
711032160053046
oct1500000000000
9350212176265
10111669149696
11433a4361a75
1219785932628
13a6b8264450
145594b58396
152d889056eb
hex1a00000000

111669149696 has 68 divisors (see below), whose sum is σ = 240518168562. Its totient is φ = 51539607552.

The previous prime is 111669149651. The next prime is 111669149701. The reversal of 111669149696 is 696941966111.

It can be written as a sum of positive squares in only one way, i.e., 107374182400 + 4294967296 = 327680^2 + 65536^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 8589934586 + ... + 8589934598.

Almost surely, 2111669149696 is an apocalyptic number.

111669149696 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 111669149696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120259084281).

111669149696 is an abundant number, since it is smaller than the sum of its proper divisors (128849018866).

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

111669149696 is an frugal number, since it uses more digits than its factorization.

111669149696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 15 counting only the distinct ones).

The product of its digits is 3779136, while the sum is 59.

The spelling of 111669149696 in words is "one hundred eleven billion, six hundred sixty-nine million, one hundred forty-nine thousand, six hundred ninety-six".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 256 416 512 832 1024 1664 2048 3328 4096 6656 8192 13312 16384 26624 32768 53248 65536 106496 131072 212992 262144 425984 524288 851968 1048576 1703936 2097152 3407872 4194304 6815744 8388608 13631488 16777216 27262976 33554432 54525952 67108864 109051904 134217728 218103808 268435456 436207616 536870912 872415232 1073741824 1744830464 2147483648 3489660928 4294967296 6979321856 8589934592 13958643712 27917287424 55834574848 111669149696