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10206244112624 = 247279716333963
BaseRepresentation
bin1001010010000101001110…
…0011100000100011110000
31100010201002200220201120022
42110201103203200203300
52314204341443100444
633412403412103012
72102243146361300
oct224412343404360
940121080821508
1010206244112624
1132854977a847a
12118a056604a68
135905a1ca41a1
14273db0605600
1512a74b66e9ee
hex948538e08f0

10206244112624 has 60 divisors (see below), whose sum is σ = 23031967281624. Its totient is φ = 4368616140672.

The previous prime is 10206244112551. The next prime is 10206244112641. The reversal of 10206244112624 is 42621144260201.

It is a happy number.

It is a super-2 number, since 2×102062441126242 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7542134 + ... + 8791829.

Almost surely, 210206244112624 is an apocalyptic number.

10206244112624 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10206244112624 is an abundant number, since it is smaller than the sum of its proper divisors (12825723169000).

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

10206244112624 is a wasteful number, since it uses less digits than its factorization.

10206244112624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16334782 (or 16334769 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 35.

Adding to 10206244112624 its reverse (42621144260201), we get a palindrome (52827388372825).

The spelling of 10206244112624 in words is "ten trillion, two hundred six billion, two hundred forty-four million, one hundred twelve thousand, six hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 392 784 797 1594 3188 5579 6376 11158 12752 22316 39053 44632 78106 89264 156212 312424 624848 16333963 32667926 65335852 114337741 130671704 228675482 261343408 457350964 800364187 914701928 1600728374 1829403856 3201456748 6402913496 12805826992 13018168511 26036337022 52072674044 91127179577 104145348088 182254359154 208290696176 364508718308 637890257039 729017436616 1275780514078 1458034873232 2551561028156 5103122056312 10206244112624