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10484423817156 = 223429262032
BaseRepresentation
bin1001100010010001100001…
…0110110111011111000100
31101010022010112002220010000
42120210120112313133010
52333234044444122111
634144251112401300
72131321540013112
oct230443026673704
941108115086100
1010484423817156
113382467a09833
121213b503a6230
135b08a5280353
1428363d7c4ab2
15132acd39ac56
hex989185b77c4

10484423817156 has 135 divisors (see below), whose sum is σ = 28390637656381. Its totient is φ = 3373753342176.

The previous prime is 10484423817113. The next prime is 10484423817173. The reversal of 10484423817156 is 65171832448401.

It is a happy number.

The square root of 10484423817156 is 3237966.

It is a perfect power (a square), and thus also a powerful number.

10484423817156 is a `hidden beast` number, since 1 + 0 + 4 + 8 + 442 + 3 + 81 + 71 + 56 = 666.

It can be written as a sum of positive squares in only one way, i.e., 5497777530756 + 4986646286400 = 2344734^2 + 2233080^2 .

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1690215151 + ... + 1690221353.

Almost surely, 210484423817156 is an apocalyptic number.

10484423817156 is the 3237966-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10484423817156

10484423817156 is an abundant number, since it is smaller than the sum of its proper divisors (17906213839225).

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

10484423817156 is an frugal number, since it uses more digits than its factorization.

10484423817156 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12480 (or 6237 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 10484423817156 in words is "ten trillion, four hundred eighty-four billion, four hundred twenty-three million, eight hundred seventeen thousand, one hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 27 29 36 54 58 81 87 108 116 162 174 261 324 348 522 783 841 1044 1566 1682 2349 2523 3132 3364 4698 5046 6203 7569 9396 10092 12406 15138 18609 22707 24812 30276 37218 45414 55827 68121 74436 90828 111654 136242 167481 179887 223308 272484 334962 359774 502443 539661 669924 719548 1004886 1079322 1618983 2009772 2158644 3237966 4856949 5216723 6475932 9713898 10433446 14570847 15650169 19427796 20866892 29141694 31300338 38477209 46950507 58283388 62600676 76954418 93901014 115431627 140851521 153908836 187802028 230863254 281703042 346294881 422554563 461726508 563406084 692589762 845109126 1038884643 1115839061 1385179524 1690218252 2077769286 2231678122 3116653929 3347517183 4155538572 4463356244 6233307858 6695034366 10042551549 12466615716 13390068732 20085103098 30127654647 32359332769 40170206196 60255309294 64718665538 90382963941 97077998307 120510618588 129437331076 180765927882 194155996614 291233994921 361531855764 388311993228 582467989842 873701984763 1164935979684 1747403969526 2621105954289 3494807939052 5242211908578 10484423817156