Search a number
-
+
13815149760390 = 2351171589635073
BaseRepresentation
bin1100100100001001011100…
…0110000000111110000110
31210220201022112120211120210
43021002113012000332012
53302321411314313030
645214331524540250
72624053201264146
oct311022706007606
953821275524523
1013815149760390
114446a76974720
121671575851686
137929bc4c7944
1435a92a436926
1518e56c9c1bb0
hexc9097180f86

13815149760390 has 64 divisors (see below), whose sum is σ = 36680018683392. Its totient is φ = 3301956403200.

The previous prime is 13815149760343. The next prime is 13815149760397. The reversal of 13815149760390 is 9306794151831.

It is a self number, because there is not a number n which added to its sum of digits gives 13815149760390.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13815149760397) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 294794107 + ... + 294840966.

It is an arithmetic number, because the mean of its divisors is an integer number (573125291928).

Almost surely, 213815149760390 is an apocalyptic number.

13815149760390 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13815149760390 is an abundant number, since it is smaller than the sum of its proper divisors (22864868923002).

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

13815149760390 is a wasteful number, since it uses less digits than its factorization.

13815149760390 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 589635165.

The product of its (nonzero) digits is 4898880, while the sum is 57.

The spelling of 13815149760390 in words is "thirteen trillion, eight hundred fifteen billion, one hundred forty-nine million, seven hundred sixty thousand, three hundred ninety".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 71 110 142 165 213 330 355 426 710 781 1065 1562 2130 2343 3905 4686 7810 11715 23430 589635073 1179270146 1768905219 2948175365 3537810438 5896350730 6485985803 8844526095 12971971606 17689052190 19457957409 32429929015 38915914818 41864090183 64859858030 83728180366 97289787045 125592270549 194579574090 209320450915 251184541098 418640901830 460504992013 627961352745 921009984026 1255922705490 1381514976039 2302524960065 2763029952078 4605049920130 6907574880195 13815149760390