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10424205624336 = 243738538052017
BaseRepresentation
bin1001011110110001001100…
…0100101100010000010000
31100220112200210221202002020
42113230103010230100100
52331242233114434321
634100451451451440
72124060350556540
oct227542304542020
940815623852066
1010424205624336
113359976353229
121204345456b80
135a7cc95691aa
14280769d75320
151312568e84c6
hex97b1312c410

10424205624336 has 80 divisors (see below), whose sum is σ = 30784217553024. Its totient is φ = 2977571100672.

The previous prime is 10424205624331. The next prime is 10424205624379. The reversal of 10424205624336 is 63342650242401.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (10424205624331) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 2731401 + ... + 5320616.

Almost surely, 210424205624336 is an apocalyptic number.

10424205624336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10424205624336 is an abundant number, since it is smaller than the sum of its proper divisors (20360011928688).

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

10424205624336 is a wasteful number, since it uses less digits than its factorization.

10424205624336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8055888 (or 8055882 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 42.

Adding to 10424205624336 its reverse (63342650242401), we get a palindrome (73766855866737).

The spelling of 10424205624336 in words is "ten trillion, four hundred twenty-four billion, two hundred five million, six hundred twenty-four thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 3853 7706 11559 15412 23118 26971 30824 46236 53942 61648 80913 92472 107884 161826 184944 215768 323652 431536 647304 1294608 8052017 16104034 24156051 32208068 48312102 56364119 64416136 96624204 112728238 128832272 169092357 193248408 225456476 338184714 386496816 450912952 676369428 901825904 1352738856 2705477712 31024421501 62048843002 93073264503 124097686004 186146529006 217170950507 248195372008 372293058012 434341901014 496390744016 651512851521 744586116024 868683802028 1303025703042 1489172232048 1737367604056 2606051406084 3474735208112 5212102812168 10424205624336