Search a number
-
+
102361697764 = 22293753449989
BaseRepresentation
bin101111101010100111…
…0111000110111100100
3100210012202121000112021
41133111032320313210
53134114043312024
6115005130232524
710252422034504
oct1372516706744
9323182530467
10102361697764
113a458567637
1217a08885744
139863ba7541
144d5098da04
1529e1746de4
hex17d53b8de4

102361697764 has 48 divisors (see below), whose sum is σ = 193909690800. Its totient is φ = 47173142016.

The previous prime is 102361697743. The next prime is 102361697813. The reversal of 102361697764 is 467796163201.

It can be written as a sum of positive squares in 8 ways, for example, as 42242580900 + 60119116864 = 205530^2 + 245192^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2482 + ... + 452470.

It is an arithmetic number, because the mean of its divisors is an integer number (4039785225).

Almost surely, 2102361697764 is an apocalyptic number.

It is an amenable number.

102361697764 is a deficient number, since it is larger than the sum of its proper divisors (91547993036).

102361697764 is a wasteful number, since it uses less digits than its factorization.

102361697764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 450112 (or 450110 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 52.

The spelling of 102361697764 in words is "one hundred two billion, three hundred sixty-one million, six hundred ninety-seven thousand, seven hundred sixty-four".

Divisors: 1 2 4 29 37 53 58 74 106 116 148 212 1073 1537 1961 2146 3074 3922 4292 6148 7844 56869 113738 227476 449989 899978 1799956 13049681 16649593 23849417 26099362 33299186 47698834 52198724 66598372 95397668 482838197 691633093 882428429 965676394 1383266186 1764856858 1931352788 2766532372 3529713716 25590424441 51180848882 102361697764