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110379306016 = 25710110334723
BaseRepresentation
bin110011011001100011…
…1101000110000100000
3101112220112010201102001
41212303013220300200
53302024100243031
6122412455333344
710655205422620
oct1466307506040
9345815121361
10110379306016
11428a2271361
1219485981254
13a540c74235
1454b171c880
152d1056e861
hex19b31e8c20

110379306016 has 96 divisors (see below), whose sum is σ = 251108339328. Its totient is φ = 46781798400.

The previous prime is 110379306013. The next prime is 110379306067. The reversal of 110379306016 is 610603973011.

It is not an unprimeable number, because it can be changed into a prime (110379306013) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23368231 + ... + 23372953.

It is an arithmetic number, because the mean of its divisors is an integer number (2615711868).

Almost surely, 2110379306016 is an apocalyptic number.

110379306016 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 110379306016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125554169664).

110379306016 is an abundant number, since it is smaller than the sum of its proper divisors (140729033312).

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

110379306016 is a wasteful number, since it uses less digits than its factorization.

110379306016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5874 (or 5866 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 37.

The spelling of 110379306016 in words is "one hundred ten billion, three hundred seventy-nine million, three hundred six thousand, sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 56 101 112 202 224 404 707 808 1033 1414 1616 2066 2828 3232 4132 4723 5656 7231 8264 9446 11312 14462 16528 18892 22624 28924 33056 33061 37784 57848 66122 75568 104333 115696 132244 151136 208666 231392 264488 417332 477023 528976 730331 834664 954046 1057952 1460662 1669328 1908092 2921324 3338656 3339161 3816184 4878859 5842648 6678322 7632368 9757718 11685296 13356644 15264736 19515436 23370592 26713288 34152013 39030872 53426576 68304026 78061744 106853152 136608052 156123488 273216104 492764759 546432208 985529518 1092864416 1971059036 3449353313 3942118072 6898706626 7884236144 13797413252 15768472288 27594826504 55189653008 110379306016