Search a number
-
+
102015779336916 = 2238501314944743
BaseRepresentation
bin10111001100100001100110…
…010010011111001011010100
3111101012121120001202202012120
4113030201212102133023110
5101332411304002240131
61000545222501415540
730326253053613114
oct2714414622371324
9441177501682176
10102015779336916
112a561715987375
12b53741210a5b0
1344c007b823063
141b298391d3044
15bbd9e7c06496
hex5cc86649f2d4

102015779336916 has 12 divisors (see below), whose sum is σ = 238036818452832. Its totient is φ = 34005259778968.

The previous prime is 102015779336909. The next prime is 102015779336923. The reversal of 102015779336916 is 619633977510201.

It is an interprime number because it is at equal distance from previous prime (102015779336909) and next prime (102015779336923).

It is a tau number, because it is divible by the number of its divisors (12).

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 102015779336916.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4250657472360 + ... + 4250657472383.

It is an arithmetic number, because the mean of its divisors is an integer number (19836401537736).

Almost surely, 2102015779336916 is an apocalyptic number.

It is an amenable number.

102015779336916 is an abundant number, since it is smaller than the sum of its proper divisors (136021039115916).

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

102015779336916 is a wasteful number, since it uses less digits than its factorization.

102015779336916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8501314944750 (or 8501314944748 counting only the distinct ones).

The product of its (nonzero) digits is 12859560, while the sum is 60.

The spelling of 102015779336916 in words is "one hundred two trillion, fifteen billion, seven hundred seventy-nine million, three hundred thirty-six thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 12 8501314944743 17002629889486 25503944834229 34005259778972 51007889668458 102015779336916