Search a number
-
+
1023016320495 = 325133115622977
BaseRepresentation
bin11101110001100001000…
…01100011110111101111
310121210120202200122120200
432320300201203313233
5113230114134223440
62101544530044543
7133624204151151
oct16706041436757
93553522618520
101023016320495
1136494a052174
12146326119753
13756158503b0
143772b182ad1
151b9271ebc30
hexee30863def

1023016320495 has 48 divisors (see below), whose sum is σ = 1915771096512. Its totient is φ = 502019297280.

The previous prime is 1023016320463. The next prime is 1023016320517. The reversal of 1023016320495 is 5940236103201.

1023016320495 is a `hidden beast` number, since 1 + 0 + 2 + 3 + 0 + 163 + 2 + 0 + 495 = 666.

It is not a de Polignac number, because 1023016320495 - 25 = 1023016320463 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2629554 + ... + 2993423.

It is an arithmetic number, because the mean of its divisors is an integer number (39911897844).

Almost surely, 21023016320495 is an apocalyptic number.

1023016320495 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1023016320495 is a deficient number, since it is larger than the sum of its proper divisors (892754776017).

1023016320495 is a wasteful number, since it uses less digits than its factorization.

1023016320495 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5623312 (or 5623309 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 1023016320495 in words is "one trillion, twenty-three billion, sixteen million, three hundred twenty thousand, four hundred ninety-five".

Divisors: 1 3 5 9 13 15 39 45 65 117 195 311 585 933 1555 2799 4043 4665 12129 13995 20215 36387 60645 181935 5622977 16868931 28114885 50606793 73098701 84344655 219296103 253033965 365493505 657888309 1096480515 1748745847 3289441545 5246237541 8743729235 15738712623 22733696011 26231187705 68201088033 78693563115 113668480055 204603264099 341005440165 1023016320495