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116306435364 = 223737152324571
BaseRepresentation
bin110110001010001100…
…1110101110100100100
3102010012121002002100020
41230110121311310210
53401143421412424
6125232550315140
711255116250250
oct1542431656444
9363177062306
10116306435364
1145363a50369
121a65a958ab0
13ac76c07972
1458b499d260
15305aab1079
hex1b14675d24

116306435364 has 96 divisors (see below), whose sum is σ = 318755060736. Its totient is φ = 32309746560.

The previous prime is 116306435363. The next prime is 116306435381. The reversal of 116306435364 is 463534603611.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (116306435363) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4721199 + ... + 4745769.

It is an arithmetic number, because the mean of its divisors is an integer number (3320365216).

Almost surely, 2116306435364 is an apocalyptic number.

116306435364 is a gapful number since it is divisible by the number (14) 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 116306435364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159377530368).

116306435364 is an abundant number, since it is smaller than the sum of its proper divisors (202448625372).

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

116306435364 is a wasteful number, since it uses less digits than its factorization.

116306435364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26145 (or 26143 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 42.

The spelling of 116306435364 in words is "one hundred sixteen billion, three hundred six million, four hundred thirty-five thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 37 42 74 84 111 148 222 259 444 518 777 1036 1523 1554 3046 3108 4569 6092 9138 10661 18276 21322 24571 31983 42644 49142 56351 63966 73713 98284 112702 127932 147426 169053 171997 225404 294852 338106 343994 394457 515991 676212 687988 788914 909127 1031982 1183371 1577828 1818254 2063964 2366742 2727381 3636508 4733484 5454762 6363889 10909524 12727778 19091667 25455556 37421633 38183334 74843266 76366668 112264899 149686532 224529798 261951431 449059596 523902862 785854293 1047805724 1384600421 1571708586 2769200842 3143417172 4153801263 5538401684 8307602526 9692202947 16615205052 19384405894 29076608841 38768811788 58153217682 116306435364