Search a number
-
+
1640361362652 = 223245565593407
BaseRepresentation
bin10111110111101101001…
…010000000010011011100
312210211001121022010211200
4113313231022000103130
5203333430002101102
63253323244515500
7226340453345205
oct27675512002334
95724047263750
101640361362652
11582745252651
12225ab584bb90
13bb8bab0c64c
1459572c825ac
152ca09b9b51c
hex17ded2804dc

1640361362652 has 18 divisors (see below), whose sum is σ = 4146469000128. Its totient is φ = 546787120872.

The previous prime is 1640361362587. The next prime is 1640361362669. The reversal of 1640361362652 is 2562631630461.

1640361362652 is a `hidden beast` number, since 1 + 6 + 4 + 0 + 3 + 6 + 13 + 626 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (18).

It is a junction number, because it is equal to n+sod(n) for n = 1640361362598 and 1640361362607.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 22782796668 + ... + 22782796739.

It is an arithmetic number, because the mean of its divisors is an integer number (230359388896).

Almost surely, 21640361362652 is an apocalyptic number.

1640361362652 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1640361362652 is an abundant number, since it is smaller than the sum of its proper divisors (2506107637476).

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

1640361362652 is a wasteful number, since it uses less digits than its factorization.

1640361362652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45565593417 (or 45565593412 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The spelling of 1640361362652 in words is "one trillion, six hundred forty billion, three hundred sixty-one million, three hundred sixty-two thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 45565593407 91131186814 136696780221 182262373628 273393560442 410090340663 546787120884 820180681326 1640361362652