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253369276164 = 223243219512
BaseRepresentation
bin1110101111110111111…
…1000101011100000100
3220012222201222211010100
43223331333011130010
513122400013314124
6312221330524100
724206504212224
oct3537577053404
9805881884110
10253369276164
11984a9395304
1241130a36630
131ab7b118424
14c3980a2084
1568cda031c9
hex3afdfc5704

253369276164 has 81 divisors (see below), whose sum is σ = 656038312839. Its totient is φ = 82450040400.

The previous prime is 253369276099. The next prime is 253369276177. The reversal of 253369276164 is 461672963352.

The square root of 253369276164 is 503358.

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

253369276164 is a `hidden beast` number, since 2 + 5 + 3 + 369 + 276 + 1 + 6 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 253369276164.

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 26 ways as a sum of consecutive naturals, for example, 129865389 + ... + 129867339.

Almost surely, 2253369276164 is an apocalyptic number.

253369276164 is the 503358-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 253369276164

253369276164 is an abundant number, since it is smaller than the sum of its proper divisors (402669036675).

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

253369276164 is an equidigital number, since it uses as much as digits as its factorization.

253369276164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3998 (or 1999 counting only the distinct ones).

The product of its digits is 9797760, while the sum is 54.

The spelling of 253369276164 in words is "two hundred fifty-three billion, three hundred sixty-nine million, two hundred seventy-six thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 43 86 129 172 258 387 516 774 1548 1849 1951 3698 3902 5547 5853 7396 7804 11094 11706 16641 17559 22188 23412 33282 35118 66564 70236 83893 167786 251679 335572 503358 755037 1006716 1510074 3020148 3607399 3806401 7214798 7612802 10822197 11419203 14429596 15225604 21644394 22838406 32466591 34257609 43288788 45676812 64933182 68515218 129866364 137030436 163675243 327350486 491025729 654700972 982051458 1473077187 1964102916 2946154374 5892308748 7038035449 14076070898 21114106347 28152141796 42228212694 63342319041 84456425388 126684638082 253369276164