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1868423634 = 2327111970951
BaseRepresentation
bin110111101011101…
…1110000111010010
311211012202202101100
41233113132013102
512311304024014
6505222445230
764205224140
oct15727360722
94735682340
101868423634
11879749370
12441893816
1323a12921c
1413a208590
15ae072009
hex6f5de1d2

1868423634 has 96 divisors (see below), whose sum is σ = 5312885760. Its totient is φ = 459756000.

The previous prime is 1868423617. The next prime is 1868423639. The reversal of 1868423634 is 4363248681.

1868423634 is a `hidden beast` number, since 1 + 8 + 6 + 8 + 4 + 2 + 3 + 634 = 666.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 1868423634.

It is not an unprimeable number, because it can be changed into a prime (1868423639) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9142 + ... + 61809.

It is an arithmetic number, because the mean of its divisors is an integer number (55342560).

Almost surely, 21868423634 is an apocalyptic number.

1868423634 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1868423634, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2656442880).

1868423634 is an abundant number, since it is smaller than the sum of its proper divisors (3444462126).

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

1868423634 is a wasteful number, since it uses less digits than its factorization.

1868423634 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70996 (or 70993 counting only the distinct ones).

The product of its digits is 663552, while the sum is 45.

The square root of 1868423634 is about 43225.2661530268. The cubic root of 1868423634 is about 1231.6626849802.

The spelling of 1868423634 in words is "one billion, eight hundred sixty-eight million, four hundred twenty-three thousand, six hundred thirty-four".

Divisors: 1 2 3 6 7 9 11 14 18 19 21 22 33 38 42 57 63 66 77 99 114 126 133 154 171 198 209 231 266 342 399 418 462 627 693 798 1197 1254 1386 1463 1881 2394 2926 3762 4389 8778 13167 26334 70951 141902 212853 425706 496657 638559 780461 993314 1277118 1348069 1489971 1560922 2341383 2696138 2979942 4044207 4469913 4682766 5463227 7024149 8088414 8939826 9436483 10926454 12132621 14048298 14828759 16389681 18872966 24265242 28309449 29657518 32779362 44486277 49169043 56618898 84928347 88972554 98338086 103801313 133458831 169856694 207602626 266917662 311403939 622807878 934211817 1868423634