Search a number
-
+
102078868164 = 223713479532087
BaseRepresentation
bin101111100010001011…
…1111110101011000100
3100202111001101210020220
41133010113332223010
53133024142240124
6114521104224340
710242416030430
oct1370427765304
9322431353226
10102078868164
113a322950569
121794a00b0b0
13981a40bc50
144d251a99c0
1529c69ca879
hex17c45feac4

102078868164 has 192 divisors, whose sum is σ = 299844550656. Its totient is φ = 26308832256.

The previous prime is 102078868079. The next prime is 102078868189. The reversal of 102078868164 is 461868870201.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 48910729 + ... + 48912815.

It is an arithmetic number, because the mean of its divisors is an integer number (1561690368).

Almost surely, 2102078868164 is an apocalyptic number.

102078868164 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 102078868164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149922275328).

102078868164 is an abundant number, since it is smaller than the sum of its proper divisors (197765682492).

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

102078868164 is a wasteful number, since it uses less digits than its factorization.

102078868164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3114 (or 3112 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 51.

The spelling of 102078868164 in words is "one hundred two billion, seventy-eight million, eight hundred sixty-eight thousand, one hundred sixty-four".