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608268967056 = 243210326312
BaseRepresentation
bin10001101100111111010…
…01111101110010010000
32011011001022101002211100
420312133221331302100
534431213323421211
61143233534544400
761642320624462
oct10663751756220
92134038332740
10608268967056
11214a68a79973
1299a78068100
1345489b2421a
1421624564132
1510c50c97156
hex8d9fa7dc90

608268967056 has 135 divisors (see below), whose sum is σ = 1721724571827. Its totient is φ = 200469608640.

The previous prime is 608268967037. The next prime is 608268967057. The reversal of 608268967056 is 650769862806.

The square root of 608268967056 is 779916.

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

It is a super-2 number, since 2×6082689670562 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 608268966984 and 608268967002.

It is not an unprimeable number, because it can be changed into a prime (608268967057) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 963975861 + ... + 963976491.

Almost surely, 2608268967056 is an apocalyptic number.

608268967056 is the 779916-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 608268967056

608268967056 is an abundant number, since it is smaller than the sum of its proper divisors (1113455604771).

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

608268967056 is an equidigital number, since it uses as much as digits as its factorization.

608268967056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1482 (or 739 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 608268967056 in words is "six hundred eight billion, two hundred sixty-eight million, nine hundred sixty-seven thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 103 144 206 309 412 618 631 824 927 1236 1262 1648 1854 1893 2472 2524 3708 3786 4944 5048 5679 7416 7572 10096 10609 11358 14832 15144 21218 22716 30288 31827 42436 45432 63654 64993 84872 90864 95481 127308 129986 169744 190962 194979 254616 259972 381924 389958 398161 509232 519944 584937 763848 779916 796322 1039888 1169874 1194483 1527696 1559832 1592644 2339748 2388966 3119664 3185288 3583449 4679496 4777932 6370576 6694279 7166898 9358992 9555864 13388558 14333796 19111728 20082837 26777116 28667592 40165674 41010583 53554232 57335184 60248511 80331348 82021166 107108464 120497022 123031749 160662696 164042332 240994044 246063498 321325392 328084664 369095247 481988088 492126996 656169328 738190494 963976176 984253992 1476380988 1968507984 2952761976 4224090049 5905523952 8448180098 12672270147 16896360196 25344540294 33792720392 38016810441 50689080588 67585440784 76033620882 101378161176 152067241764 202756322352 304134483528 608268967056