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868452254868 = 2231137388145817
BaseRepresentation
bin11001010001100111100…
…10011100010010010100
310002000121221010120200110
430220303302130102110
5103212042234123433
61502543401443020
7116513025240132
oct14506362342224
93060557116613
10868452254868
11305343725a60
1212038aaa0470
1363b82855ab3
14300675aa752
15178ccac6963
hexca33c9c494

868452254868 has 96 divisors (see below), whose sum is σ = 2270986397568. Its totient is φ = 255983155200.

The previous prime is 868452254867. The next prime is 868452254909.

868452254868 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 868452254799 and 868452254808.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (868452254861) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18931896 + ... + 18977712.

It is an arithmetic number, because the mean of its divisors is an integer number (23656108308).

Almost surely, 2868452254868 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 868452254868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1135493198784).

868452254868 is an abundant number, since it is smaller than the sum of its proper divisors (1402534142700).

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

868452254868 is a wasteful number, since it uses less digits than its factorization.

868452254868 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49753 (or 49751 counting only the distinct ones).

The product of its digits is 235929600, while the sum is 66.

The spelling of 868452254868 in words is "eight hundred sixty-eight billion, four hundred fifty-two million, two hundred fifty-four thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 11 12 22 33 37 44 66 74 111 132 148 222 407 444 814 1221 1628 2442 3881 4884 7762 11643 15524 23286 42691 45817 46572 85382 91634 128073 137451 143597 170764 183268 256146 274902 287194 430791 503987 512292 549804 574388 861582 1007974 1511961 1579567 1695229 1723164 2015948 3023922 3159134 3390458 4738701 5085687 6047844 6318268 6780916 9477402 10171374 18647519 18954804 20342748 37295038 55942557 74590076 111885114 177815777 223770228 355631554 533447331 711263108 1066894662 1955973547 2133789324 3911947094 5867920641 6579183749 7823894188 11735841282 13158367498 19737551247 23471682564 26316734996 39475102494 72371021239 78950204988 144742042478 217113063717 289484084956 434226127434 868452254868