Search a number
-
+
906432603345 = 32526897490869
BaseRepresentation
bin11010011000010111001…
…01111110010011010001
310012122122211212012010200
431030023211332103101
5104322333221301340
61532224232245413
7122326150001103
oct15141345762321
93178584765120
10906432603345
1131a463634a05
1212780a540869
1367626370389
1431c2b845573
15188a2118330
hexd30b97e4d1

906432603345 has 24 divisors (see below), whose sum is σ = 1571734343400. Its totient is φ = 483250876416.

The previous prime is 906432603289. The next prime is 906432603379. The reversal of 906432603345 is 543306234609.

906432603345 is a `hidden beast` number, since 9 + 0 + 6 + 4 + 3 + 2 + 603 + 34 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 58788306369 + 847644296976 = 242463^2 + 920676^2 .

It is not a de Polignac number, because 906432603345 - 211 = 906432601297 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 906432603345.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3624430 + ... + 3866439.

It is an arithmetic number, because the mean of its divisors is an integer number (65488930975).

Almost surely, 2906432603345 is an apocalyptic number.

It is an amenable number.

906432603345 is a deficient number, since it is larger than the sum of its proper divisors (665301740055).

906432603345 is a wasteful number, since it uses less digits than its factorization.

906432603345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7493569 (or 7493566 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 45.

The spelling of 906432603345 in words is "nine hundred six billion, four hundred thirty-two million, six hundred three thousand, three hundred forty-five".

Divisors: 1 3 5 9 15 45 2689 8067 13445 24201 40335 121005 7490869 22472607 37454345 67417821 112363035 337089105 20142946741 60428840223 100714733705 181286520669 302144201115 906432603345