Search a number
-
+
36378259056216 = 2334711757796223
BaseRepresentation
bin10000100010101111110010…
…01101010110011001011000
311202210201122102101022020000
420101113321031112121120
514232010133304244331
6205211535210333000
710443146113003560
oct1021277115263130
9152721572338200
1036378259056216
1110655a29948a70
1240b642542a160
13173b5bbb4bbac
148daa07b53da0
15431436b4e0e6
hex2115f9356658

36378259056216 has 320 divisors, whose sum is σ = 127053276641280. Its totient is φ = 9447553221120.

The previous prime is 36378259056187. The next prime is 36378259056257. The reversal of 36378259056216 is 61265095287363.

It is a happy number.

36378259056216 is a `hidden beast` number, since 3 + 6 + 3 + 7 + 8 + 2 + 59 + 0 + 562 + 16 = 666.

It is a super-2 number, since 2×363782590562162 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 378013881 + ... + 378110103.

It is an arithmetic number, because the mean of its divisors is an integer number (397041489504).

Almost surely, 236378259056216 is an apocalyptic number.

36378259056216 is a gapful number since it is divisible by the number (36) 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 36378259056216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63526638320640).

36378259056216 is an abundant number, since it is smaller than the sum of its proper divisors (90675017585064).

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

36378259056216 is a wasteful number, since it uses less digits than its factorization.

36378259056216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103836 (or 103823 counting only the distinct ones).

The product of its (nonzero) digits is 97977600, while the sum is 63.

The spelling of 36378259056216 in words is "thirty-six trillion, three hundred seventy-eight billion, two hundred fifty-nine million, fifty-six thousand, two hundred sixteen".