Search a number
-
+
10642239270 = 234513277743
BaseRepresentation
bin10011110100101001…
…11010111100100110
31000110200020202210000
421322110322330212
5133243403124040
64520004042130
7524503353435
oct117224727446
930420222700
1010642239270
1145712a2973
122090093346
131007a84c00
1472d58311c
15424471130
hex27a53af26

10642239270 has 120 divisors (see below), whose sum is σ = 30986737056. Its totient is φ = 2619594432.

The previous prime is 10642239253. The next prime is 10642239277. The reversal of 10642239270 is 7293224601.

10642239270 is a `hidden beast` number, since 1 + 0 + 642 + 2 + 3 + 9 + 2 + 7 + 0 = 666.

It is a super-2 number, since 2×106422392702 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10642239277) 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 59 ways as a sum of consecutive naturals, for example, 98019 + ... + 175761.

Almost surely, 210642239270 is an apocalyptic number.

10642239270 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10642239270, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15493368528).

10642239270 is an abundant number, since it is smaller than the sum of its proper divisors (20344497786).

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

10642239270 is a wasteful number, since it uses less digits than its factorization.

10642239270 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77788 (or 77766 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 10642239270 in words is "ten billion, six hundred forty-two million, two hundred thirty-nine thousand, two hundred seventy".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 39 45 54 65 78 81 90 117 130 135 162 169 195 234 270 338 351 390 405 507 585 702 810 845 1014 1053 1170 1521 1690 1755 2106 2535 3042 3510 4563 5070 5265 7605 9126 10530 13689 15210 22815 27378 45630 68445 77743 136890 155486 233229 388715 466458 699687 777430 1010659 1166145 1399374 2021318 2099061 2332290 3031977 3498435 4198122 5053295 6063954 6297183 6996870 9095931 10106590 10495305 12594366 13138567 15159885 18191862 20990610 26277134 27287793 30319770 31485915 39415701 45479655 54575586 62971830 65692835 78831402 81863379 90959310 118247103 131385670 136438965 163726758 197078505 236494206 272877930 354741309 394157010 409316895 591235515 709482618 818633790 1064223927 1182471030 1773706545 2128447854 3547413090 5321119635 10642239270