Search a number
-
+
10067765442 = 237239708701
BaseRepresentation
bin10010110000001010…
…11110100011000010
3221222122021110211120
421120011132203002
5131104321443232
64343003053110
7504326410560
oct113005364302
927878243746
1010067765442
1142a6a9a209
121b4b811196
13c45a55b77
146b7162a30
153ddce692c
hex25815e8c2

10067765442 has 16 divisors (see below), whose sum is σ = 23012035392. Its totient is φ = 2876504400.

The previous prime is 10067765441. The next prime is 10067765479. The reversal of 10067765442 is 24456776001.

It is a Harshad number since it is a multiple of its sum of digits (42), and also a Moran number because the ratio is a prime number: 239708701 = 10067765442 / (1 + 0 + 0 + 6 + 7 + 7 + 6 + 5 + 4 + 4 + 2).

It is a junction number, because it is equal to n+sod(n) for n = 10067765394 and 10067765403.

It is not an unprimeable number, because it can be changed into a prime (10067765441) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 119854309 + ... + 119854392.

It is an arithmetic number, because the mean of its divisors is an integer number (1438252212).

Almost surely, 210067765442 is an apocalyptic number.

10067765442 is an abundant number, since it is smaller than the sum of its proper divisors (12944269950).

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

10067765442 is a wasteful number, since it uses less digits than its factorization.

10067765442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239708713.

The product of its (nonzero) digits is 282240, while the sum is 42.

The spelling of 10067765442 in words is "ten billion, sixty-seven million, seven hundred sixty-five thousand, four hundred forty-two".

Divisors: 1 2 3 6 7 14 21 42 239708701 479417402 719126103 1438252206 1677960907 3355921814 5033882721 10067765442