Search a number
-
+
368815002336 = 253211116418877
BaseRepresentation
bin1010101110111110001…
…01100101001011100000
31022020222100111100102100
411113133011211023200
522020313120033321
6441233053250400
735434402536324
oct5273705451340
91266870440370
10368815002336
111324604aa060
125b58b493a00
1328a189054c1
1413bca611984
1598d8c49326
hex55df1652e0

368815002336 has 72 divisors (see below), whose sum is σ = 1144164732984. Its totient is φ = 111762120960.

The previous prime is 368815002299. The next prime is 368815002341. The reversal of 368815002336 is 633200518863.

368815002336 is a `hidden beast` number, since 3 + 68 + 81 + 500 + 2 + 3 + 3 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 368815002291 and 368815002300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 58206271 + ... + 58212606.

It is an arithmetic number, because the mean of its divisors is an integer number (15891176847).

Almost surely, 2368815002336 is an apocalyptic number.

368815002336 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

368815002336 is an abundant number, since it is smaller than the sum of its proper divisors (775349730648).

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

368815002336 is a wasteful number, since it uses less digits than its factorization.

368815002336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116418904 (or 116418893 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 368815002336 in words is "three hundred sixty-eight billion, eight hundred fifteen million, two thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 132 144 176 198 264 288 352 396 528 792 1056 1584 3168 116418877 232837754 349256631 465675508 698513262 931351016 1047769893 1280607647 1397026524 1862702032 2095539786 2561215294 2794053048 3725404064 3841822941 4191079572 5122430588 5588106096 7683645882 8382159144 10244861176 11176212192 11525468823 15367291764 16764318288 20489722352 23050937646 30734583528 33528636576 40979444704 46101875292 61469167056 92203750584 122938334112 184407501168 368815002336