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3113643760704 = 2632735232
BaseRepresentation
bin101101010011110011101…
…000010101110001000000
3102000122212012001110211100
4231103303220111301000
5402003220300320304
610342215503414400
7440644665166431
oct55236350256100
912018765043740
103113643760704
11aa0541804174
12423540bb4400
131977ccbbc419
14aa9b5dbb488
1555ed6694439
hex2d4f3a15c40

3113643760704 has 63 divisors (see below), whose sum is σ = 8924819042503. Its totient is φ = 1037867137152.

The previous prime is 3113643760697. The next prime is 3113643760739. The reversal of 3113643760704 is 4070673463113.

The square root of 3113643760704 is 1764552.

It is a perfect power (a square), and thus also a powerful number.

3113643760704 is a `hidden beast` number, since 3 + 1 + 1 + 3 + 6 + 4 + 37 + 607 + 0 + 4 = 666.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 3113643760704.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 42312487 + ... + 42386009.

Almost surely, 23113643760704 is an apocalyptic number.

3113643760704 is the 1764552-nd square number.

It is an amenable number.

3113643760704 is an abundant number, since it is smaller than the sum of its proper divisors (5811175281799).

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

3113643760704 is an frugal number, since it uses more digits than its factorization.

3113643760704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147064 (or 73528 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 45.

The spelling of 3113643760704 in words is "three trillion, one hundred thirteen billion, six hundred forty-three million, seven hundred sixty thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 73523 147046 220569 294092 441138 588184 661707 882276 1176368 1323414 1764552 2352736 2646828 3529104 4705472 5293656 7058208 10587312 14116416 21174624 42349248 5405631529 10811263058 16216894587 21622526116 32433789174 43245052232 48650683761 64867578348 86490104464 97301367522 129735156696 172980208928 194602735044 259470313392 345960417856 389205470088 518940626784 778410940176 1037881253568 1556821880352 3113643760704