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368457538340 = 225113757721517
BaseRepresentation
bin1010101110010011100…
…01111101101100100100
31022020001102212022000002
411113021301331230210
522014100112211330
6441133403440432
735422502254253
oct5271161755444
91266042768002
10368457538340
11132297747071
125b4ab826118
132898c837b48
1413b94d6079a
1598b7688e45
hex55c9c7db24

368457538340 has 48 divisors (see below), whose sum is σ = 780747578352. Its totient is φ = 146052673536.

The previous prime is 368457538291. The next prime is 368457538369. The reversal of 368457538340 is 43835754863.

It can be written as a sum of positive squares in 8 ways, for example, as 198124692544 + 170332845796 = 445112^2 + 412714^2 .

It is a Smith number, since the sum of its digits (56) coincides with the sum of the digits of its prime factors.

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, 17113262 + ... + 17134778.

It is an arithmetic number, because the mean of its divisors is an integer number (16265574549).

Almost surely, 2368457538340 is an apocalyptic number.

It is an amenable number.

368457538340 is an abundant number, since it is smaller than the sum of its proper divisors (412290040012).

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

368457538340 is a wasteful number, since it uses less digits than its factorization.

368457538340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29216 (or 29214 counting only the distinct ones).

The product of its (nonzero) digits is 29030400, while the sum is 56.

The spelling of 368457538340 in words is "three hundred sixty-eight billion, four hundred fifty-seven million, five hundred thirty-eight thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 113 226 452 565 1130 2260 7577 15154 21517 30308 37885 43034 75770 86068 107585 151540 215170 430340 856201 1712402 2431421 3424804 4281005 4862842 8562010 9725684 12157105 17124020 24314210 48628420 163034309 326068618 652137236 815171545 1630343090 3260686180 18422876917 36845753834 73691507668 92114384585 184228769170 368457538340