Search a number
-
+
10206244115352 = 2332731941827267
BaseRepresentation
bin1001010010000101001110…
…0011100001001110011000
31100010201002200220212022100
42110201103203201032120
52314204341443142402
633412403412123400
72102243146402245
oct224412343411630
940121080825270
1010206244115352
1132854977aa52a
12118a056606560
135905a1ca54bc
14273db06065cc
1512a74b67071c
hex948538e1398

10206244115352 has 48 divisors (see below), whose sum is σ = 28020567477240. Its totient is φ = 3355477515648.

The previous prime is 10206244115321. The next prime is 10206244115359. The reversal of 10206244115352 is 25351144260201.

10206244115352 is a `hidden beast` number, since 1 + 0 + 2 + 0 + 62 + 441 + 153 + 5 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10206244115359) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 970908378 + ... + 970918889.

Almost surely, 210206244115352 is an apocalyptic number.

10206244115352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10206244115352 is an abundant number, since it is smaller than the sum of its proper divisors (17814323361888).

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

10206244115352 is a wasteful number, since it uses less digits than its factorization.

10206244115352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1941827352 (or 1941827345 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

Adding to 10206244115352 its reverse (25351144260201), we get a palindrome (35557388375553).

The spelling of 10206244115352 in words is "ten trillion, two hundred six billion, two hundred forty-four million, one hundred fifteen thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 73 146 219 292 438 584 657 876 1314 1752 2628 5256 1941827267 3883654534 5825481801 7767309068 11650963602 15534618136 17476445403 23301927204 34952890806 46603854408 69905781612 139811563224 141753390491 283506780982 425260171473 567013561964 850520342946 1134027123928 1275780514419 1701040685892 2551561028838 3402081371784 5103122057676 10206244115352