Search a number
-
+
379484872416 = 253213101358139
BaseRepresentation
bin1011000010110110000…
…11111001111011100000
31100021111221201220112200
411201123003321323200
522204141111404131
6450155525453200
736262663123266
oct5413303717340
91307457656480
10379484872416
11136a36354401
1261668871200
1329a29312bb0
141451d708436
159d108272e6
hex585b0f9ee0

379484872416 has 72 divisors (see below), whose sum is σ = 1162172433240. Its totient is φ = 116764574976.

The previous prime is 379484872381. The next prime is 379484872447. The reversal of 379484872416 is 614278484973.

379484872416 is a `hidden beast` number, since 3 + 79 + 4 + 84 + 8 + 72 + 416 = 666.

379484872416 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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

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, 50675326 + ... + 50682813.

It is an arithmetic number, because the mean of its divisors is an integer number (16141283795).

Almost surely, 2379484872416 is an apocalyptic number.

379484872416 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

379484872416 is an abundant number, since it is smaller than the sum of its proper divisors (782687560824).

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

379484872416 is a wasteful number, since it uses less digits than its factorization.

379484872416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101358168 (or 101358157 counting only the distinct ones).

The product of its digits is 65028096, while the sum is 63.

The spelling of 379484872416 in words is "three hundred seventy-nine billion, four hundred eighty-four million, eight hundred seventy-two thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 208 234 288 312 416 468 624 936 1248 1872 3744 101358139 202716278 304074417 405432556 608148834 810865112 912223251 1216297668 1317655807 1621730224 1824446502 2432595336 2635311614 3243460448 3648893004 3952967421 4865190672 5270623228 7297786008 7905934842 9730381344 10541246456 11858902263 14595572016 15811869684 21082492912 23717804526 29191144032 31623739368 42164985824 47435609052 63247478736 94871218104 126494957472 189742436208 379484872416