Search a number
-
+
1623065808016 = 2473243632
BaseRepresentation
bin10111100111100110010…
…000101100110010010000
312202011102020122221012001
4113213212100230302100
5203043014321324031
63241343125043344
7225156040510522
oct27474620546220
95664366587161
101623065808016
1157637a376444
12222689556554
13ba092816953
14587b1c29a12
152c346592861
hex179e642cc90

1623065808016 has 45 divisors (see below), whose sum is σ = 3189088996569. Its totient is φ = 800232559488.

The previous prime is 1623065808011. The next prime is 1623065808031. The reversal of 1623065808016 is 6108085603261.

The square root of 1623065808016 is 1273996.

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

It can be written as a sum of positive squares in only one way, i.e., 921331219600 + 701734588416 = 959860^2 + 837696^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1623065808011) by changing a digit.

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, 372004651 + ... + 372009013.

Almost surely, 21623065808016 is an apocalyptic number.

1623065808016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1623065808016 is the 1273996-th square number.

It is an amenable number.

1623065808016 is a deficient number, since it is larger than the sum of its proper divisors (1566023188553).

1623065808016 is an frugal number, since it uses more digits than its factorization.

1623065808016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8880 (or 4438 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 46.

The spelling of 1623065808016 in words is "one trillion, six hundred twenty-three billion, sixty-five million, eight hundred eight thousand, sixteen".

Divisors: 1 2 4 8 16 73 146 292 584 1168 4363 5329 8726 10658 17452 21316 34904 42632 69808 85264 318499 636998 1273996 2547992 5095984 19035769 23250427 38071538 46500854 76143076 93001708 152286152 186003416 304572304 372006832 1389611137 2779222274 5558444548 11116889096 22233778192 101441613001 202883226002 405766452004 811532904008 1623065808016