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10224076774428 = 22331122926978449
BaseRepresentation
bin1001010011000111101001…
…1101101101110000011100
31100012102010111012210202000
42110301322131231300130
52320002402123240203
633424513120002300
72103444103452036
oct224617235556034
940172114183660
1010224076774428
113292008886200
1211915b2760390
13592184644b8a
14274bc2b12c56
1512ae41ec14a3
hex94c7a76dc1c

10224076774428 has 144 divisors (see below), whose sum is σ = 30140324340000. Its totient is φ = 2991370314240.

The previous prime is 10224076774391. The next prime is 10224076774469. The reversal of 10224076774428 is 82447767042201.

10224076774428 is a `hidden beast` number, since 1 + 0 + 22 + 40 + 76 + 77 + 442 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13110253 + ... + 13868196.

Almost surely, 210224076774428 is an apocalyptic number.

10224076774428 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10224076774428 is an abundant number, since it is smaller than the sum of its proper divisors (19916247565572).

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

10224076774428 is a wasteful number, since it uses less digits than its factorization.

10224076774428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26978513 (or 26978494 counting only the distinct ones).

The product of its (nonzero) digits is 8429568, while the sum is 54.

The spelling of 10224076774428 in words is "ten trillion, two hundred twenty-four billion, seventy-six million, seven hundred seventy-four thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 29 33 36 44 54 58 66 87 99 108 116 121 132 174 198 242 261 297 319 348 363 396 484 522 594 638 726 783 957 1044 1089 1188 1276 1452 1566 1914 2178 2871 3132 3267 3509 3828 4356 5742 6534 7018 8613 10527 11484 13068 14036 17226 21054 31581 34452 42108 63162 94743 126324 189486 378972 26978449 53956898 80935347 107913796 161870694 242806041 296762939 323741388 485612082 593525878 728418123 782375021 890288817 971224164 1187051756 1456836246 1564750042 1780577634 2347125063 2670866451 2913672492 3129500084 3264392329 3561155268 4694250126 5341732902 6528784658 7041375189 8012599353 8606125231 9388500252 9793176987 10683465804 13057569316 14082750378 16025198706 17212250462 19586353974 21124125567 25818375693 28165500756 29379530961 32050397412 34424500924 39172707948 42248251134 51636751386 58759061922 77455127079 84496502268 88138592883 94667377541 103273502772 117518123844 154910254158 176277185766 189334755082 232365381237 284002132623 309820508316 352554371532 378669510164 464730762474 568004265246 852006397869 929461524948 1136008530492 1704012795738 2556019193607 3408025591476 5112038387214 10224076774428